# zbMATH — the first resource for mathematics

## Rey, Olivier

Compute Distance To:
 Author ID: rey.olivier Published as: Rey, O.; Rey, Olivier Homepage: http://www.ihpst.cnrs.fr/membres/membres-permanents/rey-olivier External Links: MGP · Wikidata
 Documents Indexed: 30 Publications since 1987
all top 5

#### Co-Authors

 18 single-authored 3 Bethuel, Fabrice 3 Wei, Juncheng 2 Pistoia, Angela 1 Bahri, Abbas 1 Ben Ayed, Mohamed 1 El Mehdi, Khalil O. 1 Grossi, Massimo 1 Khenissy, Saïma 1 Li, YanYan 1 Olivier, Adélaïde
all top 5

#### Serials

 4 Comptes Rendus de l’Académie des Sciences. Série I 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Calculus of Variations and Partial Differential Equations 2 Séminaire Équations aux Dérivées Partielles 2 Advances in Differential Equations 2 Communications in Contemporary Mathematics 1 Houston Journal of Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Nonlinear Analysis. Theory, Methods & Applications

#### Fields

 29 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Functional analysis (46-XX) 3 Differential geometry (53-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 722 times in 407 Documents Cited by Year
The role of the Green’s function in a nonlinear elliptic equation involving the critical Sobolev exponent. Zbl 0786.35059
Rey, Olivier
1990
On a variational problem with lack of compactness: The topological effect of the critical points at infinity. Zbl 0814.35032
Bahri, Abbas; Li, Yanyan; Rey, Olivier
1995
Proof of two conjectures of H. Brezis and L. A. Peletier. Zbl 0708.35032
Rey, Olivier
1989
A multiplicity result for a variational problem with lack of compactness. Zbl 0702.35101
Rey, Olivier
1989
Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. I: $$N=3$$. Zbl 1134.35049
Rey, Olivier; Wei, Juncheng
2004
The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3. Zbl 0952.35051
Rey, Olivier
1999
Sur un problème variationnel non compact: L’effet de petits trous dans le domaine. (On a variational problem with lack of compactness: The effect of small holes in the domain). Zbl 0686.35047
Rey, Olivier
1989
A nonexistence result of single peaked solutions to a supercritical nonlinear problem. Zbl 1066.35035
Ben Ayed, M.; El Mehdi, K.; Rey, O.; Grossi, M.
2003
An elliptic Neumann problem with critical nonlinearity in three-dimensional domains. Zbl 0954.35065
Rey, Olivier
1999
Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity. Zbl 1129.35406
Rey, Olivier; Wei, Juncheng
2005
Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. II: $$N\geqslant 4$$. Zbl 1331.35133
Rey, Olivier; Wei, Juncheng
2005
Blow-up points of solutions to elliptic equations with limiting nonlinearity. Zbl 0830.35043
Rey, Olivier
1991
The question of interior blow-up points for an elliptic Neumann problem: the critical case. Zbl 1066.35033
Rey, Olivier
2002
Multiplicity of solutions to the supercritical Bahri–Coron’s problem in pierced domains. Zbl 1166.35333
Pistoia, Angela; Rey, Olivier
2006
Boundary effect for an elliptic Neumann problem with critical nonlinearity. Zbl 0891.35040
Rey, O.
1997
Heat flow for the equation of surfaces with prescribed mean curvature. Zbl 0761.58052
Rey, Olivier
1991
Multiple solutions to the Plateau problem for nonconstant mean curvature. Zbl 0815.53010
Bethuel, Fabrice; Rey, Olivier
1994
Bifurcation from infinity in a nonlinear elliptic equation involving the limiting Sobolev exponent. Zbl 0711.35012
Rey, Olivier
1990
Concentration of solutions to elliptic equations with critical nonlinearity. Zbl 0761.35034
Rey, O.
1992
A criterion for existence of solutions to the supercritical Bahri-Coron’s problem. Zbl 1172.35390
Khenissy, Saïma; Rey, Olivier
2004
Boundary blow-up for Brezis-Peletier problem on a singular domain. Zbl 1066.35036
Pistoia, Angela; Rey, Olivier
2003
Le rôle de la fonction de Green dans une équation elliptique non linéaire avec l’exposant critique de Sobolev. (The role of Green’s function in a nonlinear elliptic equation involving the critical Sobolev exponent). Zbl 0638.35034
Rey, Olivier
1987
Large solutions for the equation of surfaces of prescribed mean curvature. Zbl 0878.35042
Bethuel, Fabrice; Rey, Olivier
1994
The role of the boundary in an elliptic problem with critical nonlinearity and Neumann boundary conditions. Zbl 0900.35139
Rey, O.
1994
The problem of surfaces with prescribed mean curvature. Zbl 1158.53305
Bethuel, Fabrice; Rey, Olivier
1993
Un résultat de multiplicité dans un problème variationnel non compact. (A multiplicity result for a variational problem with lack of compactness). Zbl 0645.49023
Rey, Olivier
1988
Multiplicity of solutions to the supercritical Bahri–Coron’s problem in pierced domains. Zbl 1166.35333
Pistoia, Angela; Rey, Olivier
2006
Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity. Zbl 1129.35406
Rey, Olivier; Wei, Juncheng
2005
Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. II: $$N\geqslant 4$$. Zbl 1331.35133
Rey, Olivier; Wei, Juncheng
2005
Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. I: $$N=3$$. Zbl 1134.35049
Rey, Olivier; Wei, Juncheng
2004
A criterion for existence of solutions to the supercritical Bahri-Coron’s problem. Zbl 1172.35390
Khenissy, Saïma; Rey, Olivier
2004
A nonexistence result of single peaked solutions to a supercritical nonlinear problem. Zbl 1066.35035
Ben Ayed, M.; El Mehdi, K.; Rey, O.; Grossi, M.
2003
Boundary blow-up for Brezis-Peletier problem on a singular domain. Zbl 1066.35036
Pistoia, Angela; Rey, Olivier
2003
The question of interior blow-up points for an elliptic Neumann problem: the critical case. Zbl 1066.35033
Rey, Olivier
2002
The topological impact of critical points at infinity in a variational problem with lack of compactness: The dimension 3. Zbl 0952.35051
Rey, Olivier
1999
An elliptic Neumann problem with critical nonlinearity in three-dimensional domains. Zbl 0954.35065
Rey, Olivier
1999
Boundary effect for an elliptic Neumann problem with critical nonlinearity. Zbl 0891.35040
Rey, O.
1997
On a variational problem with lack of compactness: The topological effect of the critical points at infinity. Zbl 0814.35032
Bahri, Abbas; Li, Yanyan; Rey, Olivier
1995
Multiple solutions to the Plateau problem for nonconstant mean curvature. Zbl 0815.53010
Bethuel, Fabrice; Rey, Olivier
1994
Large solutions for the equation of surfaces of prescribed mean curvature. Zbl 0878.35042
Bethuel, Fabrice; Rey, Olivier
1994
The role of the boundary in an elliptic problem with critical nonlinearity and Neumann boundary conditions. Zbl 0900.35139
Rey, O.
1994
The problem of surfaces with prescribed mean curvature. Zbl 1158.53305
Bethuel, Fabrice; Rey, Olivier
1993
Concentration of solutions to elliptic equations with critical nonlinearity. Zbl 0761.35034
Rey, O.
1992
Blow-up points of solutions to elliptic equations with limiting nonlinearity. Zbl 0830.35043
Rey, Olivier
1991
Heat flow for the equation of surfaces with prescribed mean curvature. Zbl 0761.58052
Rey, Olivier
1991
The role of the Green’s function in a nonlinear elliptic equation involving the critical Sobolev exponent. Zbl 0786.35059
Rey, Olivier
1990
Bifurcation from infinity in a nonlinear elliptic equation involving the limiting Sobolev exponent. Zbl 0711.35012
Rey, Olivier
1990
Proof of two conjectures of H. Brezis and L. A. Peletier. Zbl 0708.35032
Rey, Olivier
1989
A multiplicity result for a variational problem with lack of compactness. Zbl 0702.35101
Rey, Olivier
1989
Sur un problème variationnel non compact: L’effet de petits trous dans le domaine. (On a variational problem with lack of compactness: The effect of small holes in the domain). Zbl 0686.35047
Rey, Olivier
1989
Un résultat de multiplicité dans un problème variationnel non compact. (A multiplicity result for a variational problem with lack of compactness). Zbl 0645.49023
Rey, Olivier
1988
Le rôle de la fonction de Green dans une équation elliptique non linéaire avec l’exposant critique de Sobolev. (The role of Green’s function in a nonlinear elliptic equation involving the critical Sobolev exponent). Zbl 0638.35034
Rey, Olivier
1987
all top 5

#### Cited by 325 Authors

 35 Wei, Juncheng 31 Pistoia, Angela 31 Yan, Shusen 26 Musso, Monica 18 Ben Ayed, Mohamed 15 Cao, Daomin 15 Grossi, Massimo 14 Peng, Shuangjie 13 Clapp, Mónica 13 Del Pino, Manuel A. 13 El Mehdi, Khalil O. 12 Passaseo, Donato 11 Rey, Olivier 10 Pacella, Filomena 9 Guo, Yuxia 9 Kim, Seunghyeok 8 Hammami, Mokhless 8 Molle, Riccardo 8 Ould Bouh, Kamal 7 Dancer, Edward Norman 7 Musina, Roberta 7 Ould Ahmedou, Mohameden 7 Vétois, Jérôme 6 Bartsch, Thomas J. 6 Caldiroli, Paolo 6 Choi, Woocheol 6 Esposito, Pierpaolo 6 Furtado, Marcelo Fernandes 6 Noussair, Ezzat S. 5 Alves, Claudianor Oliveira 5 Faya, Jorge 5 Ghoudi, Rabeh 5 Guo, Qianqiao 5 Premoselli, Bruno 5 Robert, Frédéric 5 Wang, Chunhua 5 Wang, Liping 4 Chtioui, Hichem 4 Dammak, Yessine 4 Figueiredo, Giovany Malcher 4 Gladiali, Francesca 4 Li, Gongbao 4 Li, YanYan 4 Merle, Frank 4 Takahashi, Futoshi 4 Thizy, Pierre-Damien 4 Yang, Jianfu 3 Adimurthi, A. 3 Chen, Wenjing 3 Cingolani, Silvia 3 Dávila, Juan 3 Dolbeault, Jean 3 Druet, Olivier 3 Gazzola, Filippo 3 Goel, Divya 3 Hirano, Norimichi 3 Iacopetti, Alessandro 3 Lin, Chang-Shou 3 Liu, Ting 3 Liu, Zhongyuan 3 Lu, Shiping 3 Micheletti, Anna Maria 3 Pan, Xingbin 3 Peletier, Lambertus Adrianus 3 Ruf, Bernhard 3 Tan, Zhong 3 Tang, Zhongwei 3 Vaira, Giusi 3 Ye, Dong 2 Ammar, Siwar 2 Bahri, Abbas 2 Bethuel, Fabrice 2 Bonheure, Denis 2 Castéras, Jean-baptiste 2 Castorina, Daniele 2 Catrina, Florin 2 Cerami, Giovanna 2 Chen, Wenyi 2 da Silva, João Pablo P. 2 D’Aprile, Teresa 2 Deng, Shengbing 2 Duyckaerts, Thomas 2 Duzaar, Frank 2 Ercole, Grey 2 Fan, Haining 2 Felmer, Patricio L. 2 Földes, Juraj 2 Frank, Rupert L. 2 Garroni, Adriana 2 Ge, Yuxin 2 Guerra, Ignacio A. 2 Guo, Zongming 2 Hadiji, Rejeb 2 Han, Pigong 2 Huang, Tao 2 Ismail, Houria 2 Kenig, Carlos Eduardo 2 Kowalczyk, Michał 2 Lee, Ki-Ahm 2 Li, Benniao ...and 225 more Authors
all top 5

#### Cited in 78 Serials

 47 Journal of Differential Equations 32 Calculus of Variations and Partial Differential Equations 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Journal of Functional Analysis 26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 Journal of Mathematical Analysis and Applications 18 Communications in Partial Differential Equations 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Communications in Contemporary Mathematics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Duke Mathematical Journal 8 Discrete and Continuous Dynamical Systems 8 Advanced Nonlinear Studies 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Nonlinear Analysis. Theory, Methods & Applications 7 Manuscripta Mathematica 6 NoDEA. Nonlinear Differential Equations and Applications 5 Transactions of the American Mathematical Society 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Proceedings of the American Mathematical Society 4 Journal of the European Mathematical Society (JEMS) 4 Advances in Difference Equations 4 Advances in Nonlinear Analysis 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Journal d’Analyse Mathématique 3 Mathematische Annalen 3 Monatshefte für Mathematik 3 Turkish Journal of Mathematics 2 Advances in Mathematics 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Rendiconti del Seminario Matematico della Università di Padova 2 Annals of Global Analysis and Geometry 2 Revista Matemática Iberoamericana 2 Applied Mathematics Letters 2 Science in China. Series A 2 Potential Analysis 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Communications on Pure and Applied Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Journal of Fixed Point Theory and Applications 2 Arabian Journal of Mathematics 2 SN Partial Differential Equations and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 Siberian Mathematical Journal 1 Studies in Applied Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of the American Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Computational Mathematics and Mathematical Physics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Topological Methods in Nonlinear Analysis 1 Journal of Inequalities and Applications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Milan Journal of Mathematics 1 Analysis & PDE 1 Geometry 1 Journal of Function Spaces 1 Bollettino dell’Unione Matematica Italiana 1 Tunisian Journal of Mathematics
all top 5

#### Cited in 20 Fields

 385 Partial differential equations (35-XX) 65 Global analysis, analysis on manifolds (58-XX) 41 Differential geometry (53-XX) 32 Operator theory (47-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 9 Ordinary differential equations (34-XX) 8 Functional analysis (46-XX) 4 Potential theory (31-XX) 3 Biology and other natural sciences (92-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Real functions (26-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.