Theses
Analyse de quelques problèmes aux limites elliptiques non linéaires,
Habilitation à Diriger des Recherches, Université Pierre et Marie Curie (Paris VI), 25 février 2003
(zip).
Analyse de quelques problèmes liés à l'équation de
GinzburgLandau, Thèse de doctorat, Université Pierre et Marie Curie (Paris VI), 29 juin 1995
(zip).
Methods of Operator Theory in Nonlinear Analysis, Ph. D. Dissertation, University
of Craiova, 17 December 1993
(zip).
BooksEditor of Special Issues
Guest Editor of the
Special Issue Degenerate and Singular Phenomena in Nonlinear Analysis,
Nonlinear Analysis: Theory, Methods and Applications, 2014.
Guest Editor (with Claudianor Alves) of the Special Issue Degenerate and Singular Differential Operators with Applications to Boundary Value Problems, Boundary Value Problems, Volume 2010 (2010).
Guest Editor (with M. Iosifescu) of the Proceedings of the Seventh FrancoRomanian Colloquium on Applied Mathematics, Held in Craiova, August 30  September 3, 2004, Annals Univ. Craiova Ser. Mat. Inform., 32 (2005).
Guest Editor (with M. Iosifescu and M. Sofonea) of the Proceedings of the Sixth FrancoRomanian Colloquium on Applied Mathematics, Held in Perpignan, September 26, 2002, Annals Univ. Craiova Ser. Mat. Inform., 30 (2003).
Translations
H. Brezis, Analyse fonctionnelle: théorie, méthodes et applications,
Masson, Paris, 1992.
Translation from French. Romanian title: Analiză funcţională: teorie, metode şi aplicaţii,
Editura Academiei Române, Bucureşti, 2002 (pdf).
Course Notes
H. Brezis, Equations de GinzburgLandau et singularités, Notes de cours à l'Université Pierre
et Marie Curie (Paris 6) rédigées par Vicentiu Radulescu, 2001
(pdf).
Publications in Refereed Journals
Subspaces with the 1½ball property in Banach spaces,
Ann. Univ. Craiova XV (1987), 1925.
A generalization of a classical result concerning the duality of regular
spaces, Revue Roum. Math. Pures Appl. 33 (1988), 785788.
A study of some special functions with Lie theory,
Studii Cerc. Mat. 43 (1991), 6771.
Mountain pass type theorems for nondifferentiable functions and
applications, Proc. Japan Acad. 69A (1993), 193198 (pdf).
(with P. Mironescu) A bifurcation problem associated to a convex, asymptotically
linear function, C.R. Acad. Sci. Paris, Ser. I 316 (1993), 667672.
On the Volterra theorem, Ann. Univ. Craiova XX (1993), 1112.
(with P. Mironescu) Periodic solutions of the
equation Δv=v(1v²),
Houston Math. Journal 20 (1994), 653670 (pdf).
Vector norms and duality properties in Riesz spaces,
Annals New York Acad. 728 (1994), 330338.
(with C. Lefter) On the GinzburgLandau energy with weight, C.R. Acad. Sci. Paris, Ser. I
319 (1994), 843848.
Mountain pass type theorems for nondifferentiable convex functions,
Revue Roum. Math. Pures Appl. 39 (1994), 5362.
(with P. Mironescu) On a duality theorem (in Romanian), Studii Cerc. Mat. 46
(1994), 393396.
(with C. Lefter) On the GinzburgLandau energy with vanishing weight, Ann. Univ.
Craiova XXI (1994), 311.
A LusternikSchnirelman type theorem for locally Lipschitz functionals
with applications to multivalued periodic problems, Proc. Japan Acad.
71A (1995), 164167 (pdf).
(with P. Mironescu) A multiplicity theorem for locally Lipschitz periodic
functionals, J. Math. Anal. Appl. 195 (1995), 621637 (pdf).
(with C. Lefter) The renormalized energy associated to a harmonic map, PanAmerican
Math. Journal 3 (1995), No. 2, 17.
Locally Lipschitz functionals with the strong PalaisSmale property,
Revue Roum. Math. Pures Appl. 40 (1995), 355372.
(with C. Lefter) Convergence properties for general solutions of the GinzburgLandau
energy with weight, Revue Roum. Math. Pures Appl. 40 (1995), 633639.
(with C. Lefter) Minimization problems and renormalized energies related to the
GinzburgLandau equation, Ann. Univ. Craiova XXII (1995), 113.
Nontrivial solutions for a multivalued problem with strong resonance,
Glasgow Math. Journal 38 (1996), 5361 (pdf).
(with C. Lefter) On the GinzburgLandau energy with weight,
Ann. Inst. H. Poincaré, Analyse Non Linéaire
13 (1996), 171184 (pdf).
(with P. Mironescu) The study of a bifurcation problem associated to an asymptotically linear
function, Nonlinear Analysis, T.M.A. 26 (1996)
857875 (pdf).
(with C. Niculescu) A Saddle Point type theorem and applications to the study of some
problems with strong resonance at infinity, Ann. Acad. Sci. Fennicae
21 (1996), 117131 (dvi)
(pdf).
(with C. Lefter) Minimization problems and corresponding renormalized energies, Diff.
Integral Equations 9 (1996), 903918 (pdf).
(with C. Lefter) Asymptotics for the minimizers of the GinzburgLandau energy with
vanishing weight, Advances Math. Sci. Appl. 7 (1997), 259271.
Sur l'équation multigroupe stationnaire de la diffusion des neutrons, C. R.
Acad. Sci. Paris, Ser. I 323 (1996), 765768.
(with M. Bocea) Problèmes elliptiques avec nonlinéarité discontinue
et second membre L^{1}, C. R. Acad. Sci. Paris, Ser. I 324 (1997),
169172 (pdf).
(with D. Motreanu) Existence theorems for some classes of
boundary value problems involving the pLaplacian, PanAmerican Math.
Journal 7 (1997), No. 2, 5366.
(with P. D. Panagiotopoulos) Perturbations of hemivariational inequalities with constraints and
applications, J. Global Optimiz. 12 (1998), 285297 (pdf).
Multivalued problems with strong resonance at infinity and L^{1} data,
Revue Roumaine Math. Pures Appl. 43 (1998), 533540.
(with M. Bocea) An eigenvalue Dirichlet problem with weight and L^{1} data,
Math. Nachr. 198 (1999), 517.
(with M. Fundos and P. D. Panagiotopoulos) Existence theorems of HartmannStampacchia type for hemivariational
inequalities and applications, J. Global Optimiz.
15 (1999), 4154 (pdf).
(with F. Cîrstea) Existence and uniqueness of positive solutions to a semilinear elliptic
problem in R^{N}, J. Math. Anal. Appl. 229 (1999), 417425 (pdf).
(with M. Bocea and P. D. Panagiotopoulos) A perturbation result for a double eigenvalue
hemivariational inequality and applications, J. Global
Optimiz. 14} (1999), 137156 (pdf).
(with M. Degiovanni) Perturbations of nonsmooth symmetric nonlinear eigenvalue
problems, C. R. Acad. Sci. Paris, Ser. I 329 (1999), 281286 (pdf).
Perturbations of hemivariational inequalities with constraints,
Revue Roum. Math. Pures Appl. 44 (1999), 455461.
(with M. Bocea and P. D. Panagiotopoulos) Double eigenvalue hemivariational inequalities with nonlocally
Lipschitz energy functional, Commun. Appl. Nonlin. Anal. 6 (1999), No. 4, 1729.
Approximation of the ground state with solutions on bounded domains
with corners, Revue Roum. Math. Pures Appl. 44 (1999), 845855.
(with C. Vladimirescu) KKM techniques for hemivariational inequalities and
applications, Ann. Univ. Craiova XXVI (1999), 2942.
(with F. Cîrstea) Multiple solutions of degenerate perturbed elliptic problems
involving a subcritical Sobolev exponent, Topol. Meth. Nonlin. Anal. 15 (2000),
281298 (pdf)
(ps).
(with F. Gazzola) A nonsmooth critical point theory approach
to some nonlinear elliptic equations in unbounded domains, Diff.
Integral Equations 13 (2000), 4760 (pdf)
(ps).
(with F. Cîrstea) Existence and nonexistence results for quasilinear problems
with nonlinear boundary condition, J. Math. Anal. Appl. 244 (2000), 169183 (pdf).
(with M. Degiovanni and M. Marzocchi) Multiple solutions of hemivariational inequalities with
areatype term, Calculus of Variations and PDE 10 (2000), 355387 (pdf).
(with F. Cîrstea) Multiplicity of solutions for a class of nonsymmetric
eigenvalue hemivariational inequalities, J. Global Optimiz.
17 (1/4) (2000), 4354 (pdf).
(with L. Ignat and C. Lefter) Minimization of the renormalized energy in the unit ball of
R^{2}, Nieuw Archief voor Wiskunde 5/1, No. 3 (2000), 150152 (pdf).
(with D. Motreanu) Existence results for inequality problems with lack of
convexity, Numer. Funct. Anal. Optimiz. 21 (2000),
No. 78, 869884 (pdf)
(ps).
(with F. Cîrstea) On a double bifurcation quasilinear
problem arising in the study of anisotropic continuous media,
Proc. Edinburgh Math. Soc. 44 (2001), 527548 (pdf)
(ps).
(with F. Cîrstea) Existence implies uniqueness for a class of singular anisotropic
elliptic boundary value problems, Math. Methods Appl. Sciences
24 (2001), 771779 (pdf).
(with F. Cîrstea and D. Motreanu) Weak solutions of quasilinear problems with nonlinear
boundary conditions, Nonlinear Analysis, T.M.A. 43 (2001), 623636 (pdf).
(with E. Montefusco) Nonlinear eigenvalue problems for quasilinear operators
on unbounded domains, Nonlinear Diff. Equations Appl. (NoDEA) 8 (2001), 481497 (pdf).
(with F. Cîrstea) On a class of quasilinear eigenvalue problems on unbounded domains,
Archiv der Mathematik (Basel) 77 (2001), 337346 (pdf).
(with F. Cîrstea) Blowup solutions for semilinear elliptic problems,
Nonlinear Analysis, T.M.A. 48 (2002), 541554 (pdf).
(with F. Cîrstea) Existence and uniqueness of blowup solutions for a class of
logistic equations, Commun. Contemp. Math. 4 (2002), 559586
(pdf).
(with D. Smets and M. Willem) HardySobolev inequalities with remainder terms,
Topol. Meth. Nonlin. Anal. 20 (2002), 145149 (ps).
(with F. Cîrstea) Uniqueness of the blowup boundary solution
of logistic equations with absorption, C. R. Acad. Sci. Paris, Ser. I 335 (2002),
447452 (pdf).
(with F. Cîrstea) Entire solutions blowingup at infinity for semilinear
elliptic systems, J. Math. Pures Appliquées (Journal de Liouville) 81 (2002), 827846 (pdf).
(with M. Ghergu and C. Niculescu) Explosive solutions of elliptic equations with absorption and nonlinear gradient term,
Proc. Indian Acad. (Math. Sciences) 112 (2002), 111 (pdf).
(with M. Willem) Elliptic systems involving finite Radon measures,
Differential and Integral Equations 16 (2003), 221229
(dvi) (pdf).
(with F. Cîrstea) Asymptotics for the blowup
boundary solution of the logistic equation with absorption,
C. R. Acad. Sci. Paris, Ser. I 336 (2003), 231236 (pdf).
(with S. Dabuleanu) Multivalued boundary value problems involving LerayLions
operators and discontinuous nonlinearities, Rend. Circ. Mat. Palermo
52 (2003), 5769 (pdf).
(with M. Ghergu) Bifurcation and asymptotics for the LaneEmdenFowler equation,
C. R. Acad. Sci. Paris, Ser. I 337 (2003), 259264 (pdf).
(with F. Cîrstea) Solutions with boundary blowup for a class of nonlinear elliptic problems,
Houston J. Math. 29 (2003), 821829 (pdf).
(with C. Ciulcu and D. Motreanu) Multiplicity of solutions for a class of nonsymmetric eigenvalue hemivariational
inequalities, Math. Methods Appl. Sciences 26 (2003), 801814 (pdf).
(with M. Mihailescu) Ground state solutions of nonlinear singular
Schrödinger equations with lack of compactness, Math. Methods Appl. Sciences
26 (2003), 897906 (pdf).
(with M. Ghergu) Sublinear singular elliptic problems with two parameters,
J. Differential Equations 195 (2003), 520536 (pdf).
(with D. Smets) Critical singular problems on infinite cones,
Nonlinear Analysis, T.M.A. 54 (2003), 11531164 (pdf).
(with I. Ionescu) Nonlinear eigenvalue problems arising in earthquake
initiation, Adv. Differential Equations 8 (2003), 769786
(dvi)
(pdf).
(with M. Ghergu) Existence and nonexistence of entire solutions to the
logistic differential equation, Abstract and Applied Analysis 17 (2003), 9951003 (pdf).
(with M. Bocea and P. D. Panagiotopoulos) Inequality problems with nonlocally Lipschitz energy
functional: existence results and applications to nonsmooth
mechanics, Applicable Anal. 82 (2003), 561574 (pdf).
(with M. Ghergu) Explosive solutions of semilinear elliptic systems with gradient term,
RACSAM Revista Real Academia de Ciencias (Serie A, Matemáticas) 97 (2003), 437445
(pdf).
(with M. Ghergu) Nonradial blowup solutions of sublinear elliptic equations
with gradient term, Communications on Pure and Applied Analysis 3 (2004), 465474
(pdf).
(with M. Ghergu) Bifurcation for a class of singular elliptic problems with quadratic
convection term, C. R. Acad. Sci. Paris, Ser. I 338 (2004),
831836 (pdf).
(with F. Cîrstea) Extremal singular solutions for degenerate logistictype equations in
anisotropic media, C. R. Acad. Sci. Paris, Ser. I 339 (2004), 119124 (pdf).
Finitely many solutions for a class of boundary value
problems with superlinear convex nonlinearity, Archiv der Mathematik (Basel)
84 (2005), 538550 (pdf).
(with M. Ghergu) On a class of sublinear singular elliptic problems
with convection term, J. Math. Anal. Appl. 311 (2005), 635646 (pdf).
(with D. Motreanu) Eigenvalue problems for degenerate nonlinear
elliptic equations in anisotropic media, Boundary Value Problems 2 (2005),
107127 (pdf).
(with F. Cîrstea and M. Ghergu) Combined effects of asymptotically linear and singular
nonlinearities in bifurcation problems of LaneEmdenFowler type, J. Math. Pures Appliquées
(Journal de Liouville) 84 (2005), 493508 (pdf).
(with M. Ghergu) Multiparameter bifurcation and asymptotics for the singular
LaneEmdenFowler equation with a convection term, Proceedings of the Royal Society of Edinburgh:
Section A (Mathematics) 135 (2005), 6184
(pdf).
(with F. Cîrstea) Nonlinear problems with boundary blowup: a Karamata regular
variation theory approach, Asymptotic Analysis 46 (2006), 275298
(pdf).
(with M. Ghergu) Singular elliptic problems with lack of compactness,
Annali di Matematica Pura ed Applicata 185 (2006), 6379 (pdf).
(with M. Mihailescu) A multiplicity result for a nonlinear degenerate
problem arising in the theory of electrorheological fluids,
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462 (2006), 26252641
(tex) (pdf);
Correction, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467 (2011), 30333034 (pdf).
(with M. Mihailescu) Existence and multiplicity of solutions for
quasilinear nonhomogeneous problems: an OrliczSobolev space setting, J. Math. Anal. Appl. 330 (2007),
416432 (tex) (pdf).
(with F. Cîrstea) Boundary blowup in nonlinear elliptic equations of
BieberbachRademacher type, Transactions Amer. Math. Soc. 359 (2007), 32753286
(pdf).
(with M. Mihailescu) Nonhomogeneous boundary value problems in OrliczSobolev spaces, C. R. Acad. Sci. Paris, Ser. I 344 (2007), 1520
(pdf).
(with M. Ghergu) On a class of singular GiererMeinhardt systems arising in morphogenesis,
C. R. Acad. Sci. Paris, Ser. I 344 (2007), 163168
(pdf).
Singular phenomena in nonlinear elliptic problems. From blowup boundary solutions
to equations with singular nonlinearities, in Handbook of Differential Equations:
Stationary Partial Differential Equations, Vol. 4 (Michel Chipot, Editor), NorthHolland Elsevier Science, Amsterdam, 2007, pp. 483591
(zip) (pdf).
(with M. Mihailescu) On a nonhomogeneous quasilinear eigenvalue problem in Sobolev
spaces with variable exponent, Proceedings Amer. Math. Soc. 135 (2007), 29292937
(pdf).
(with C. Vallée) An infinite dimensional version of the Schur
convexity property and applications, Analysis and Applications 5 (2007), 123136 (tex)
(pdf).
(with M. Ghergu) Ground state solutions for the singular LaneEmdenFowler equation with sublinear convection term, J. Math. Anal. Appl. 333 (2007), 265273
(tex) (pdf).
(with L. Dupaigne and M. Ghergu) LaneEmdenFowler equations with convection and singular potential, J. Math. Pures Appliquées (Journal de Liouville) 87 (2007), 563581
(tex) (pdf).
(with S. Dumont, L. Dupaigne, and O. Goubet) Back to the KellerOsserman condition for
boundary blowup solutions, Advanced Nonlinear Studies 7 (2007), 271298
(tex) (pdf).
(with M. Mihailescu and P. Pucci) Nonhomogeneous boundary value problems in anisotropic Sobolev spaces, C. R. Acad. Sci. Paris, Ser. I 345 (2007), 561566
(pdf).
(with M. Mihailescu) Continuous spectrum for a class of nonhomogeneous differential operators, Manuscripta Mathematica 125 (2008), 157167
(tex) (pdf).
(with M. Mihailescu and P. Pucci) Eigenvalue problems for anisotropic
quasilinear elliptic equations with variable exponent, J. Math. Anal. Appl. 340 (2008), 687698
(tex) (pdf).
(with R. Filippucci and P. Pucci) Existence and nonexistence results for quasilinear
elliptic exterior problems with nonlinear boundary conditions, Communications in
Partial Differential Equations 33 (2008), 706717
(tex) (pdf).
(with M. Mihailescu) Eigenvalue problems associated to nonhomogeneous differential operators in OrliczSobolev spaces, Analysis and Applications 6 (2008), 8398
(pdf).
(with M. Mihailescu) Nonhomogeneous Neumann problems in OrliczSobolev spaces, C. R. Acad. Sci. Paris, Ser. I 346 (2008), 401406 (pdf).
(with M. Ghergu) A singular GiererMeinhardt system with different source
terms, Proceedings of the Royal Society of Edinburgh: Section A (Mathematics) 138A (2008), 12151234
(zip) (pdf).
(with M. Mihailescu) Neumann problems associated to nonhomogeneous
differential operators in OrliczSobolev spaces, Ann. Inst. Fourier 58 (2008), 20872111
(tex) (pdf).
(with M. Mihailescu) Spectrum in an unbounded interval for a class of nonhomogeneous differential
operators, Bull. London Math. Soc. 40 (2008), 972984
(tex) (pdf).
Combined effects in nonlinear singular elliptic problems with convection, Revue Roumaine de Mathématiques Pures et Appliquées 53 (2008), 543553 (tex) (pdf).
Rodriguestype formulae for Hermite and Laguerre polynomials, An. St. Univ. Ovidius Constanta 16 (2008), 109116 (tex) (pdf).
(with D. Repovs) Perturbation effects in nonlinear eigenvalue problems, Nonlinear Analysis: Theory, Methods and Applications 70 (2009), 30303038 (tex) (pdf).
(with A. Kristály) Sublinear eigenvalue problems on compact Riemannian manifolds with applications in EmdenFowler equations, Studia Mathematica 191 (2009), 237246 (tex) (pdf).
(with M. Mihailescu) A continuous spectrum for nonhomogeneous differential
operators in OrliczSobolev spaces, Mathematica Scandinavica 104 (2009), 132146
(tex) (pdf).
(with H. Le Dret and R. S. C. Wong), A Tribute to Professor Philippe G. Ciarlet on His 70th Birthday, Comm. Pure Appl. Anal. 8 (2009), No. 1, pp. 14
(pdf).
(with A. Kristály and M. Mihailescu) Two nontrivial solutions for a nonhomogeneous Neumann problem:
an OrliczSobolev setting, Proceedings of the Royal Society of Edinburgh: Section A (Mathematics) 139A (2009), 367379
(tex) (pdf).
(with M. Mihailescu and G. Morosanu) Eigenvalue problems in anisotropic OrliczSobolev spaces, C. R. Acad. Sci. Paris, Ser. I 347 (2009), 521526 (pdf).
Foreword: JMAA Special Issue on Degenerate and Singular PDEs and Phenomena in Analysis and Mathematical Physics, J. Math. Anal. Appl. 352 (2009), pp. 12 (pdf).
(with M. Mihailescu and S. Tersian) Eigenvalue problems for anisotropic
discrete boundary value problems, Journal of Difference Equations and Applications 15 (2009), 557567
(tex) (pdf).
(with N. Costea) Existence results for hemivariational inequalities involving relaxed monotone mappings, Commun. Appl. Anal. 13 (2009), 293304
(tex) (pdf).
(with A. Ghanmi, H. Maagli and N. Zeddini) Large and bounded solutions for a class of nonlinear Schrödinger stationary systems, Analysis and Applications 7 (2009), 391404
(tex) (pdf).
(with D. Repovs) Existence results for variationalhemivariational problems with lack of convexity, Nonlinear Analysis: Theory, Methods and Applications 73 (2010), 99104 (tex) (pdf).
(with M. Mihailescu) Concentration phenomena in nonlinear eigenvalue problems with variable exponents and
signchanging potential, Journal d'Analyse Mathématique 111 (2010), 267287
(tex) (pdf).
(with N. Costea) HartmanStampacchia results for stably pseudomonotone
operators and nonlinear hemivariational inequalities, Applicable Analysis 89 (2010), 175188
(tex) (pdf).
(with M. Mihailescu and D. Repovs) On a nonhomogeneous eigenvalue problem involving a
potential: an OrliczSobolev space setting, J. Math. Pures Appliquées (Journal de Liouville) 93 (2010), 132148
(tex) (pdf).
(with P. Pucci) Remarks on a polyharmonic eigenvalue problem, C. R. Acad. Sci. Paris, Ser. I 348 (2010), 161164
(pdf).
(with M. Ghergu) Turing patterns in general reactiondiffusion systems of Brusselator type, Communications in Contemporary Mathematics 12 (2010), 661679
(tex) (pdf).
(with M. Mihailescu and G. Morosanu) Eigenvalue problems for anisotropic elliptic equations: an OrliczSobolev setting, Nonlinear Analysis: Theory, Methods and Applications 73 (2010), 32393253
(tex) (pdf).
(with M. Mihailescu) Eigenvalue problems with weight and variable exponent for
the Laplace operator, Analysis and Applications 8 (2010), 235246 (tex) (pdf).
(with A. Kristály, M. Mihailescu and S. Tersian) Spectral estimates for a nonhomogeneous difference problem, Communications in Contemporary Mathematics 12 (2010), 10151029
(tex) (pdf).
(with M. Mihailescu and D. Stancu) A CaffarelliKohnNirenbergtype inequality with variable exponent and applications to PDE's, Complex Variables and Elliptic Equations 56 (2011), 659669 (tex) (pdf).
(with M. Boureanu and P. Pucci) Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent, Complex Variables and Elliptic Equations 56 (2011), 755767 (tex) (pdf).
(with A. Kristály and M. Mihailescu) Discrete boundary value problems involving oscillatory
nonlinearities: small and large solutions, Journal of Difference Equations and Applications 17 (2011), 14311440
(tex) (pdf).
(with B. Breckner and C. Varga) Infinitely many solutions for the Dirichlet problem on the Sierpinski gasket, Analysis and Applications 9 (2011), 235248 (tex) (pdf).
(with M. Mihailescu and S. Tersian) Homoclinic solutions of difference equations with variable exponents, Topological Methods in Nonlinear Analysis 38 (2011), 277289
(tex) (pdf).
(with P. Pucci) The impact of the mountain pass theory in nonlinear analysis: a mathematical survey, Boll. Unione Mat. Ital. Series IX, No. 3 (2010), 543584 (pdf).
Remarks on a limiting
case in the treatment of nonlinear problems with mountain pass geometry, Studia Universitatis BabesBolyai Mathematica Volume LV, No. 4 (2010), 99106 (pdf).
(with T.L. Radulescu) Picard and Krasnoselski sequences: applications to fixed point problems, Gazeta Matematica, Seria A (Romanian Mathematical Society) XXVIII (CVII), No. 34 (2010), 7792 (tex) (pdf).
(with T.L. Radulescu) Agenda for a mathematical renaissance, Notices Amer. Math. Soc. 57 (2010), 1079 (pdf).
Combined effects and degenerate phenomena in nonlinear stationary problems, Le Matematiche LXV (2010), 169191 (pdf).
(with G. Bonanno and G. Molica Bisci) Infinitely many solutions for a class of nonlinear eigenvalue problem in OrliczSobolev spaces, C. R. Acad. Sci. Paris, Ser. I 349 (2011), 263268 (pdf).
(with M. Mihailescu) Sublinear eigenvalue problems associated to the Laplace operator revisited, Israel J. Math. 181 (2011), 317326
(tex) (pdf).
(with G. Bonanno and G. Molica Bisci) Existence of three solutions for a nonhomogeneous Neumann problem through OrliczSobolev spaces, Nonlinear Analysis: Theory, Methods and Applications 74 (2011), 47854795 (tex) (pdf).
(with D. Repovs) Combined effects in nonlinear problems arising in the
study of anisotropic continuous media, Nonlinear Analysis: Theory, Methods and Applications 75 (2012), 15231529 (tex) (pdf).
(with G. Bonanno and G. Molica Bisci) Multiple solutions of generalized Yamabe equations on Riemannian manifolds and applications to EmdenFowler problems, Nonlinear Analysis: Real World Applications 12 (2011), 26562665 (tex) (pdf).
(with P. Pucci) Combined effects in quasilinear elliptic problems with lack of compactness,
Rendiconti Lincei  Matematica e Applicazioni 22 (2011), 189205 (tex) (pdf).
(with G. Bonanno and G. Molica Bisci) Infinitely many solutions for a class of nonlinear elliptic problems on fractals, C. R. Acad. Sci. Paris, Ser. I 350 (2012), 187191 (tex) (pdf).
Noncoercive elliptic equations with subcritical growth, Discrete and Continuous Dynamical Systems  Series S 5 (2012), 857864 (tex) (pdf).
(with G. Bonanno and G. Molica Bisci) Arbitrarily small weak solutions for a nonlinear eigenvalue problem in OrliczSobolev spaces, Monatshefte für Mathematik 165 (2012), 305318 (tex) (pdf).
(with N. Costea) Inequality problems of quasihemivariational type involving setvalued operators and a nonlinear term, Journal of Global Optimization 52 (2012), 743756 (tex) (pdf).
(with M. Boureanu) Anisotropic Neumann problems in Sobolev spaces with
variable exponent, Nonlinear Analysis: Theory, Methods and Applications 75 (2012), 44714482
(tex) (pdf).
Multiple solutions for LaneEmden equations with mixed nonlinearities, Annals of the University of Bucharest 3 (LXI) (2012), 227232
(tex) (pdf).
(with G. Bonanno and G. Molica Bisci) Variational analysis for a nonlinear elliptic problem on the Sierpinski gasket,
ESAIM: Control, Optimisation and Calculus of Variations 18 (2012), 941953 (tex) (pdf).
Critical Point Theory, in Selected Papers of James Serrin (P. Pucci, V. Radulescu, H. Weinberger, Editors),
2 volumes, 1600 pages, Contemporary Mathematicians, Birkhäuser, Basel, 2013 (pdf).
(with G. Bonanno and G. Molica Bisci) Quasilinear elliptic nonhomogeneous Dirichlet problems through
OrliczSobolev spaces, Nonlinear Analysis: Theory, Methods and Applications 75 (2012),
44414456 (tex) (pdf).
(with G. Bonanno and G. Molica Bisci) Weak solutions and energy estimates for a class of nonlinear elliptic Neumann problems,
Advanced Nonlinear Studies 13 (2013), 373389 (tex) (pdf).
(with G. Afrouzi and A. Hadjian) Variational analysis for Dirichlet impulsive differential
equations with oscillatory nonlinearity, Portugaliae Mathematica 70 (2013), 225242 (tex) (pdf).
(with G. Bonanno and G. Molica Bisci) Qualitative analysis of gradienttype systems with oscillatory nonlinearities on
the Sierpinski gasket, Chinese Annals of Mathematics 34 (2013), 381398 (tex) (pdf).
Combined effects for a stationary problem with indefinite nonlinearities and lack of
compactness, Dynamic Systems and Applications 22 (2013), 371384 (tex)
(pdf).
(with G. Bonanno and G. Molica Bisci) Nonlinear elliptic problems on Riemannian manifolds and applications to EmdenFowler type equations,
Manuscripta Mathematica 142 (2013), 157185 (tex) (pdf).
(with G. Molica Bisci) Multiple symmetric solutions for a Neumann problem with lack of
compactness, C. R. Acad. Sci. Paris, Ser. I 351 (2013), 3742 (tex)
(pdf).
(with N. Papageorgiou) Semilinear Neumann problems with indefinite and
unbounded potential and crossing nonlinearity, in Recent Trends in Nonlinear Partial Differential Equations. Dedicated to Patrizia Pucci on the Occasion
of Her 60th Birthday, Contemporary Mathematics, American Mathematical Society (J. Serrin, E. Mitidieri, V. RadulescuEditors), vol. 595 (2013), 293315
(tex)
(pdf).
(with A. Iannizzotto) Positive homoclinic solutions for the discrete
pLaplacian with a coercive potential, Differential and Integral Equations 27 (2014), 3544 (tex)
(pdf).
(with R. Alsaedi and N. Constantinescu) Nonlinearities in elliptic curve authentication,
Entropy 16 (2014), 51445158 (pdf).
(with G. Afrouzi and A. Hadjian) Variational approach to fourthorder impulsive differential
equations with two control parameters, Results in Mathematics 65 (2014), 371384 (tex) (pdf).
(with B. Zhang and Y. Fu) The stationary NavierStokes equations in variable exponent spaces of
Cliffordvalued functions, Advances in Applied Clifford Algebras 24 (2014), 231252 (tex) (pdf).
(with G. Molica Bisci and R. Servadei) Low and high energy solutions of nonlinear elliptic
oscillatory problems, C. R. Acad. Sci. Paris, Ser. I 352 (2014), 117122 (tex)
(pdf).
(with N. Papageorgiou) Qualitative phenomena for some classes of quasilinear elliptic equations
with multiple resonance, Applied Mathematics and Optimization 69 (2014), 393430
(tex)
(pdf).
(with G. Afrouzi and M. Mirzapour) Qualitative properties of anisotropic elliptic Schrödinger equations,
Advanced Nonlinear Studies 14 (2014), 719736 (tex) (pdf).
(with N. Papageorgiou) Positive solutions for Neumann problems with indefinite and
unbounded potential, Applied Mathematics Letters 35 (2014), 711 (tex)
(pdf).
(with G. Molica Bisci) Mountain pass solutions for nonlocal equations, Ann. Acad. Sci. Fennicae
39 (2014), 579592 (tex)
(pdf).
(with G. Afrouzi and M. Mirzapour) Existence and multiplicity results for anisotropic stationary Schrödinger equations,
Rendiconti Lincei  Matematica e Applicazioni 25 (2014), 91108 (tex) (pdf).
(with B. Zhang) Morse theory and local linking for a nonlinear degenerate problem arising in the theory of electrorheological fluids,
Nonlinear Analysis: Real World Applications 17 (2014), 311321 (tex) (pdf).
(with N. Papageorgiou) Positive solutions for nonlinear nonhomogeneous Neumann equations of superdiffusive type,
J. Fixed Point Theory Appl. 15 (2014), 519535
(tex) (pdf).
(with N. Papageorgiou) Multiple solutions with precise sign for nonlinear parametric Robin problems,
Journal of Differential Equations 256 (2014), 24492479 (tex) (pdf).
(with N. Papageorgiou) Bifurcation near the origin for the Robin problem with concaveconvex nonlinearities,
C. R. Acad. Sci. Paris, Ser. I 352 (2014), 627632 (tex)
(pdf).
(with N. Papageorgiou) Combined effects of singular and sublinear nonlinearities in some elliptic problems,
Nonlinear Analysis: Theory, Methods and Applications 109 (2014), 236244 (tex)
(pdf).
(with N. Papageorgiou) Bifurcation near infinity for the Neumann problem with concaveconvex nonlinearities,
C. R. Acad. Sci. Paris, Ser. I 352 (2014), 811816 (tex)
(pdf).
(with B. Alleche and M. Sebaoui) The Tikhonov regularization for equilibrium problems and applications to quasihemivariational inequalities,
Optimization Letters 9 (2015), 483503
(zip) (pdf).
(with N. Papageorgiou) Resonant Neumann problems with indefinite and
unbounded potential, Applied Mathematics Letters 40 (2015), 4952 (tex)
(pdf).
(with G. Molica Bisci) Applications of
local linking to nonlocal Neumann problems, Communications in Contemporary Mathematics 1/17 (2015), 1450001 (17 pages) (tex)
(pdf).
(with B. Alleche) The Ekeland variational principle for equilibrium problems revisited and applications,
Nonlinear Analysis: Real World Applications 23 (2015), 1725
(tex) (pdf).
(with N. Papageorgiou) Positive solutions for perturbations of the eigenvalue problem for the Robin pLaplacian,
Ann. Acad. Sci. Fennicae 40 (2015), 255277 (tex)
(pdf).
(with N. Papageorgiou) Solutions with sign information for nonlinear nonhomogeneous elliptic equations,
Topological Methods in Nonlinear Analysis, in press (tex)
(pdf).
(with A. Bahrouni and H. Ounaies) Infinitely many solutions for a class of sublinear Schrödinger
equations with indefinite potentials,
Proceedings of the Royal Society of Edinburgh: Section A (Mathematics), in press (tex)
(pdf).
(with N. Papageorgiou) Resonant (p,2)equations with asymmetric reaction, Analysis and Applications, in press
(tex) (pdf).
(with G. Molica Bisci) A characterization for elliptic problems on fractal sets, Proceedings Amer. Math. Soc., in press (tex)
(pdf).
(with N. Papageorgiou) Bifurcation analysis for nonhomogeneous Robin problems with
competing nonlinearities, Applied Mathematics Letters, in press
(tex) (pdf).
(with B. Alleche) Equilibrium problems techniques in the qualitative analysis of
quasihemivariational inequalities, Optimization, in press
(zip) (pdf).
(with G. Molica Bisci) Bifurcation analysis of a singular elliptic problem modelling the equilibrium of
anisotropic continuous media, Topological Methods in Nonlinear Analysis, in press (tex)
(pdf).
(with N. Papageorgiou) Multiplicity theorems for semilinear Robin problems,
Advances in Calculus of Variations, in press (tex)
(pdf).
(with G. Afrouzi and S. Shakeri) Positive solutions of singular elliptic systems with multiple
parameters and CaffarelliKohnNirenberg exponents,
Periodica Mathematica Hungarica, in press (tex) (pdf).
(with N. Papageorgiou) Multiple solutions for asymptotically linear elliptic equations with sign changing weight,
Kyoto Journal of Mathematics, in press (tex)
(pdf).
(with G. Afrouzi and M. Mirzapour) Qualitative analysis of solutions for a class of anisotropic elliptic equations with variable exponent,
Proceedings of the Edinburgh Mathematical Society, in press (tex) (pdf).
(with N. Papageorgiou) Combined effects of concaveconvex nonlinearities and indefinite potential in some elliptic problems,
Asymptotic Analysis, in press (tex)
(pdf).
(with G. Molica Bisci and B. Zhang) Existence of stationary states for ADirac equations
with variable growth, Advances in Applied Clifford Algebras, in press (tex) (pdf).
(with N. Papageorgiou) Multiplicity of solutions for resonant Neumann problems with an indefinite and unbounded potential,
Transactions Amer. Math. Soc., in press (tex)
(pdf).
(with N. Papageorgiou) Neumann problems with indefinite and unbounded potential and concave terms,
Proceedings Amer. Math. Soc., in press (tex)
(pdf).
(with G. Afrouzi and M. Mirzapour) Nonlocal fourthorder Kirchhoff systems with variable growth:
low and high energy solutions, Collectanea Mathematica,
in press (tex) (pdf).
(with N. Papageorgiou) Nonlinear parametric Robin problems with combined nonlinearities,
Advanced Nonlinear Studies 15 (2015) (tex)
(pdf).
(with G. Molica Bisci) Standing waves for the fractional Schrödinger equation,
C. R. Acad. Sci. Paris, Ser. I 353 (2015), in press (tex)
(pdf).
(with I. Stancut) Combined concaveconvex effects in anisotropic elliptic equations with variable exponent,
Nonlinear Differential Equations and Applications (NoDEA), in press (tex)
(pdf).
(with N. Papageorgiou) Bifurcation of positive solutions for nonlinear nonhomogeneous Robin and Neumann problems with
competing nonlinearities, Discrete and Continuous Dynamical Systems 35 (2015) (tex)
(pdf).
(with G. Afrouzi and M. Mirzapour) The qualitative analysis of a nonlinear anisotropic problem with noflux
boundary condition, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Serie A: Matematicas (RACSAM),
in press (tex) (pdf).
(with N. Papageorgiou) Nonlinear elliptic problems with superlinear reaction and parametric concave
boundary condition, Israel Journal of Mathematics, in press (tex)
(pdf).
(with G. Molica Bisci) Multiplicity results for elliptic fractional equations with subcritical term,
Nonlinear Differential Equations and Applications (NoDEA), in press (tex)
(pdf).
(with G. Molica Bisci and R. Servadei) Competition
phenomena for elliptic equations involving a general operator in
divergence form, Analysis and Applications, in press (tex)
(pdf).
Nonlinear elliptic equations with variable exponent: old and new,
Nonlinear Analysis: Theory, Methods and Applications, in press (tex)
(pdf).
Publications in Refereed Conference Proceedings
Variational aspects of generalized eigenvalue and eigenvector problems, Proceedings of the National Colloquium
on Probability Theory and Operational Research
(Craiova, 1982), 164167, University of Bucharest, Bucharest, 1982.
Hemivariational inequalities associated to
multivalued problems with strong resonance,
in Nonsmooth/Nonconvex Mechanics:
Modeling, Analysis and Numerical Methods, dedicated to
the memory of Professor P.D. Panagiotopoulos,
(D.Y. Gao, R.W. Ogden, G.E. Stavroulakis, Eds.), Kluwer
Academic Publishers, 2000, pp. 333348.
Perturbations of eigenvalue problems with constraints for hemivariational inequalities,
From Convexity to Nonconvexity, volume dedicated to
the memory of Prof. G. Fichera, Nonconvex Optimiz. Appl., 55,
Kluwer Acad. Publ., Dordrecht, 2001 (R.P. Gilbert, P. Pardalos, Eds.), pp. 243253.
Perturbations of symmetric hemivariational inequalities, in
Nonsmooth/Nonconvex Mechanics with Applications in Engineering,
International Conference In Memoriam of Professor P.D. Panagiotopoulos, Thessaloniki, 56 July, 2002,
Editions Ziti, Thessaloniki, 2002 (C.C. Baniotopoulos, Ed.), pp. 6172.
Asymptotics of minimizers and pinning of vortices for a
variational problem with discontinuous weight related to
superconductivity, in Proceedings of the National Conference on Mathematical Analysis and
Applications, Timisoara 1213 December 2000, Timisoara University Press, 2003 (M. Megan, N. Suciu, Eds.),
pp. 337356.
(with M. Iosifescu and M. Sofonea),
Editorial [Actes du 6ème Colloque FrancoRoumain de
Mathématiques Appliquées], Proceedings of the Sixth
FrancoRomanian Colloquium on Applied Mathematics, Held in Perpignan,
September 26, 2002, An. Univ. Craiova Ser. Mat. Inform. 30 (2003), no. 1, p. 1.
On a spectral variational problem arising in the study of earthquakes.
Multiplicity and perturbation from symmetry, in Control and Boundary Analysis,
Proceedings of the 21st IFIP Conference on System
Modeling and Optimization, Sophia Antipolis, France, July 2125, 2003 (J. Cagnol, J.P. Zolesio, Eds.),
Lecture Notes in Pure and Applied Mathematics Series, 240, Chapman & Hall/CRC, Boca Raton, FL, 2005, pp. 191202
(pdf).
(with M. Iosifescu),
Préambule [Actes du 7ème Colloque FrancoRoumain de
Mathématiques Appliquées], Proceedings of the Seventh
FrancoRomanian Colloquium on Applied Mathematics, Held in Craiova, August 30 
September 3, 2004, An. Univ. Craiova Ser. Mat. Inform. 32 (2005), p. 1.
Bifurcation and asymptotics for elliptic problems with
singular nonlinearity, in Studies in Nonlinear Partial Differential Equations: In Honor
of Haim Brezis, Fifth European Conference on Elliptic and Parabolic
Problems: A special tribute to the work of Haim Brezis, Gaeta, Italy, May 30 
June 3, 2004 (C. Bandle, H. Berestycki, B. Brighi, A. Brillard, M. Chipot,
J.M. Coron, C. Sbordone, I. Shafrir, V. Valente, G. Vergara Caffarelli, Eds.),
Birkhäuser, 2005, pp. 349362 (pdf).
(with M. Ghergu),
Singular elliptic problems with convection term in anisotropic media,
in Mathematical Analysis and Applications:
International Conference on Mathematical Analysis and Applications, Craiova (Romania), 2324 September 2005,
AIP Conference Proceedings Volume 835
(C. Niculescu and V. Radulescu, Editors), American Institute of Physics, 2006,
pp. 7489 (pdf).
Comparison principles and applications to nonlinear elliptic equations,
in Critical Point Theory and Its Applications, Casa Cartii de Stiinta (C. Varga, A. Kristály, P. Blaga, Eds.), ClujNapoca, 2007, pp. 1752.
(with M. Ghergu), On the influence of a subquadratic convection
term in singular elliptic problems, in Applied Analysis and Differential Equations,
(O. Carja, I. Vrabie, Eds.), World Scientific, 2007, pp. 127138
(pdf).
Combined effects of singular nonlinearities and potentials in elliptic equations,
Bull. St. Univ. Pitesti 14 (2008), 95112 (pdf).
(with M. Ghergu), The influence of the distance function in some singular elliptic problems, in
Potential Theory and Stochastics in Albac. Aurel Cornea Memorial Volume, Albac, September 48, 2007
(D. Bakry, L. Beznea, N. Boboc, M. Röckner, Eds.), Theta Series in Advanced Mathematics, vol. 11, Bucharest, 2009, pp. 125138
(tex) (pdf).
(with Yu. Alkhutov, S. Antontsev, R. Gilbert, and A. Pankov) Preface, Complex Variables and Elliptic Equations 56 (2011), 543544.
(with G. Da Prato) Foreword:
Special Issue on Stochastic PDEs in Fluid Dynamics, Particle
Physics and Statistical Mechanics, J. Math. Anal. Appl. 384 (2011), p.1.
(with G. Bonanno and G. Molica Bisci) A note on elliptic equations involving the critical Sobolev
exponent, in Differential and Difference Equations with Applications, Springer Proceedings in Mathematics, 47,
pp. 311319 (tex) (pdf).
(with P. Pucci and H. Weinberger) Foreword, in
Selected Papers of James Serrin, 2 volumes, 1718 pages, Contemporary Mathematicians, Birkhäuser, Basel, 2014.
Editorial: Special Issue "Degenerate and Singular Phenomena in Nonlinear Analysis",
Nonlinear Analysis, 2014.
(with T.L. Radulescu) A 21st century mathematical renaissance, in I, Mathematician
Mathematical Association of America, (P. Casazza, S. Krantz, Eds.), 2015 (pdf).
Publications in Unrefereed Volumes
On the properties of spaces endowed with Riesz vector norms, in Spatii Liniare Ordonate Topologice, No. 11, University of Bucharest, 1990, 102103.
Sur la théorie de LusternikSchnirelman en dimension finie, Matarom,
Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie (Paris VI), No. 2 (juin
1992), 917.
Weak solutions for a class of multivalued elliptic problems, in Spatii Liniare Ordonate Topologice, No. 14, University of Bucharest, 1993, 8384.
(with P. Mironescu) Nonlinear SturmLiouville type problems with a finite number of
solutions, Matarom, Laboratoire d'Analyse Numérique, Université
Pierre et Marie Curie (Paris VI), No. 3 (juillet 1993), 5467.
(with C. Niculescu) Problems at resonance via critical point theorems for nonsmooth
functionals, Tübingen Berichte zür Funktionanalysis, Heft 3,
Jahrgang 93/94, 169183.
(with F. Cîrstea) On the uniqueness of solutions to a class of singular anisotropic elliptic
boundary value problems, RGMIA Research Report Collection, vol. 3 (2000), 405414.
(with M. Iosifescu) Septième Colloque francoroumain de mathématiques
appliquées, Gazette des Mathématiciens, No. 103
(janvier 2005), 5758 [see also Matapli, No. 76 (mars 2005), 4748].
(with T.L. Radulescu) New trends of the mathematical education in Europe, in EducatieIdentitate in Procesul Integrarii Romaniei in Uniunea Europeana, Editura Academiei, Bucuresti, 2008, pp. 8695.
Research Reports
(with Q. Tang) Asymptotics and pinning of vortices for a variational problem
with vanishing weight related to superconductivity, Centre for Mathematical Analysis and Its Applications,
University of Sussex, CMAIA 9801.
(with A. Bahrouni and H. Ounaies) Infinitely many solutions for a class of sublinear Schrödinger
equations with indefinite potentials, Isaac Newton Institute, University of Cambridge, NI14008FRB/2014.
(with B. Alleche) Equilibrium problems techniques in the qualitative analysis of quasihemivariational
inequalities, Isaac Newton Institute, University of Cambridge, NI14009FRB/2014.
(with B. Alleche and M. Sebaoui)
The Tikhonov regularization for equilibrium problems and applications to quasihemivariational inequalities,
Isaac Newton Institute, University of Cambridge, NI14044FRB/2014.
(with M. Malin) Competition phenomena for difference equations with oscillatory nonlinearities,
Isaac Newton Institute, University of Cambridge, NI14050FRB/2014.
Proposed Problems
An Example with Periodic Orbits, Proposed problem No. 11073,
American Mathematical Monthly 3/111 (2004) (pdf) (AMMsolution).
Periodic Solution of a Differential Equation, Proposed problem No. 11104, American
Mathematical Monthly 8/111 (2004)
(pdf) (AMMsolution).
Exponential Growth of a Solution, Proposed problem No. 11137,
American Mathematical Monthly 2/112 (2005)
(pdf) (AMMsolution).
Proposed problem No. 20051, Electronic Journal of Differential Equations
(Problem Section, click
here).
GinzburgLandau Energy, Proposed problem No. 11167,
American Mathematical Monthly 7/112 (2005)
(pdf) (AMMsolution).
Proposed problem No. 1270, Elemente der Mathematik, Elemente der Mathematik 4/63 (2008)
(tex) (pdf).
A CauchySchwarz Puzzle, Proposed problem No. 11458, American Mathematical
Monthly 8/116 (2009) (pdf) (AMMsolution).
Proposed problem No. 20101, Electronic Journal of Differential Equations
(Problem Section).
A Prime Multiple of the Identity Matrix, Proposed problem No. 11532,
American Mathematical Monthly 9/117 (2010) (AMMsolution).
Gamma and Beta Inequalities, Proposed problem No. 11542, American Mathematical
Monthly 10/117 (2010) (AMMsolution).
Proposed problem No. 20111, Electronic Journal of Differential Equations
(Problem Section).
Proposed problem No. 20113, Electronic Journal of Differential Equations
(Problem Section).
Proposed problem 11799,
American Mathematical Monthly 8/121 (2014) (pdf).

