Edit Profile (opens in new tab) Bethuel, Fabrice Compute Distance To: Compute Author ID: bethuel.fabrice Published as: Bethuel, Fabrice; Bethuel, F.; Béthuel, Fabrice; Béthuel, F. more...less External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 89 Publications since 1986, including 2 Books Biographic References: 1 Publication Co-Authors: 22 Co-Authors with 66 Joint Publications 767 Co-Co-Authors all top 5 Co-Authors 18 single-authored 27 Smets, Didier 19 Orlandi, Giandomenico 13 Brézis, Haïm 10 Gravejat, Philippe 10 Saut, Jean-Claude 7 Hélein, Frédéric 6 Ghidaglia, Jean-Michel 3 Coron, Jean-Michel 3 Rey, Olivier 2 Danchin, Raphaël 2 Demengel, Françoise 2 Rivière, Tristan 2 Zheng, Xiaomin 1 Bourgain, Jean 1 Caldiroli, Paolo 1 Chiron, David 1 Coleman, Bernard David 1 Després, Bruno 1 Guida, Michela 1 Guo, Yan 1 Jerrard, Robert Leon 1 Soyeur, Alain all top 5 Serials 8 Comptes Rendus de l’Académie des Sciences. Série I 6 Séminaire Équations aux Dérivées Partielles 3 Journal of Functional Analysis 3 Calculus of Variations and Partial Differential Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Duke Mathematical Journal 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Differential and Integral Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Rendiconti del Seminario Matematico 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Dynamics of Partial Differential Equations 1 Journal of Fixed Point Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications 1 Modern Birkhäuser Classics all top 5 Fields 71 Partial differential equations (35-XX) 25 Global analysis, analysis on manifolds (58-XX) 17 Statistical mechanics, structure of matter (82-XX) 14 Functional analysis (46-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Differential geometry (53-XX) 5 Fluid mechanics (76-XX) 4 Operator theory (47-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 1,603 times in 909 Documents Cited by ▼ Year ▼ Ginzburg-Landau vortices. Zbl 0802.35142Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric 224 1994 Asymptotics for the minimization of a Ginzburg-Landau functional. Zbl 0834.35014Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric 157 1993 Density of smooth functions between two manifolds in Sobolev spaces. Zbl 0657.46027Bethuel, Fabrice; Zheng, Xiaomin 104 1988 The approximation problem for Sobolev maps between two manifolds. Zbl 0756.46017Bethuel, Fabrice 98 1991 On the singular set of stationary harmonic maps. Zbl 0792.53039Bethuel, Fabrice 90 1993 Relaxed energies for harmonic maps. Zbl 0793.58011Bethuel, F.; Brézis, Haïm; Coron, Jean-Michel 56 1990 Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions. Zbl 1077.35047Bethuel, F.; Brezis, H.; Orlandi, G. 54 2001 Vortices for a variational problem related to superconductivity. Zbl 0842.35119Bethuel, Fabrice; Rivière, Tristan 49 1995 Vortex rings for the Gross-Pitaevskii equation. Zbl 1091.35085Bethuel, F.; Orlandi, G.; Smets, D. 47 2004 Travelling waves for the Gross-Pitaevskii equation. I. Zbl 0933.35177Bethuel, Fabrice; Saut, Jean-Claude 42 1999 A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps. Zbl 0708.58004Bethuel, F. 40 1990 Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature. Zbl 1103.35038Bethuel, F.; Orlandi, G.; Smets, D. 40 2006 Travelling waves for the Gross-Pitaevskii equation. II. Zbl 1190.35196Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 33 2009 Improved regularity of solutions to elliptic equations involving Jacobians and applications. Zbl 0831.35025Bethuel, F.; Ghidaglia, J.-M. 28 1993 Topological methods for the Ginzburg-Landau equations. Zbl 0904.35023Almeida, Luís; Bethuel, Fabrice 28 1998 Some questions related to the lifting problem in Sobolev spaces. Zbl 1201.46029Bethuel, Fabrice; Chiron, David 24 2007 Orbital stability of the black soliton for the Gross-Pitaevskii equation. Zbl 1171.35012Béthuel, Fabrice; Gravejat, Phillipe; Saut, Jean-Claude; Smets, Didier 23 2008 Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders. Zbl 0825.76062Bethuel, F.; Brézis, Haïm; Coleman, B. D.; Hélein, F. 22 1992 Un résultat de régularité pour les solutions de l’équation des surfaces à courboure moyenne prescrite. (A regularity result for solutions of the equation of surfaces of prescribed mean curvature). Zbl 0795.35024Bethuel, Fabrice 22 1992 Extensions for Sobolev mappings between manifolds. Zbl 0846.46021Bethuel, F.; Demengel, F. 18 1995 Approximations with vorticity bounds for the Ginzburg-Landau functional. Zbl 1129.35329Bethuel, F.; Orlandi, G.; Smets, D. 18 2004 Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics. Zbl 1087.35008Bethuel, F.; Orlandi, G.; Smets, D. 18 2005 A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds. Zbl 0735.46017Bethuel, F.; Coron, Jean-Michel; Demengel, F.; Helein, F. 17 1991 Existence and properties of travelling waves for the Gross-Pitaevski equation. Zbl 1216.35132Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 17 2008 On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. II. Zbl 1213.35367Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 16 2010 On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. I. Zbl 1183.35240Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 15 2009 Quantization and motion law for Ginzburg-Landau vortices. Zbl 1105.76062Smets, Didier; Bethuel, Fabrice; Orlandi, Giandomenico 14 2007 Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation. (Stabilité asymptotique dans l’espace d’énergie pour les solitons sombres de l’équation de Gross-Pitaevskii.) Zbl 1353.35256Béthuel, Fabrice; Gravejat, Philippe; Smets, Didier 14 2015 Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation. (Stabilité dans l’espace d’énergie pour les chaînes de solitons de l’équation de Gross-Pitaevskii en dimension un.) Zbl 1337.35131Béthuel, Fabrice; Gravejat, Philippe; Smets, Didier 14 2014 Regularity of minimizers of relaxed problems for harmonic maps. Zbl 0797.49034Bethuel, Fabrice; Brézis, Haïm 13 1991 On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 12 2008 Approximations in trace spaces defined between manifolds. Zbl 0824.58011Bethuel, Fabrice 12 1995 Slow motion for gradient systems with equal depth multiple-well potentials. Zbl 1213.35254Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 11 2011 Heat flows and relaxed energies for harmonic maps. Zbl 0795.35053Bethuel, Fabrice; Coron, Jean-Michel; Ghidaglia, Jean-Michel; Soyeur, Alain 11 1992 Small energy solutions to the Ginzburg-Landau equation. Zbl 0969.35055Bethuel, Fabrice; Brézis, Haïm; Orlandi, Giandomenico 11 2000 Weak limits of Palais-Smale sequences for a class of critical functionals. Zbl 0812.58018Bethuel, Fabrice 11 1993 Dynamics of multiple degree Ginzburg-Landau vortices. Zbl 1135.35014Bethuel, F.; Orlandi, G.; Smets, D. 11 2007 Some applications of the coarea formula to partial differential equations. Zbl 0879.35028Bethuel, Fabrice 10 1994 Multiple solutions to the Plateau problem for nonconstant mean curvature. Zbl 0815.53010Bethuel, Fabrice; Rey, Olivier 10 1994 Ginzburg-Landau vortices. Reprint of the 1994 hardback edition. Zbl 1372.35002Bethuel, Fabrice; Brezis, Haïm; Hélein, Frédéric 10 2017 Slow motion for equal depth multiple-well gradient systems: the degenerate case. Zbl 1263.35018Bethuel, Fabrice; Smets, Didier 10 2013 Limite singulière pour la minimisation de fonctionnelles du type Ginzburg-Landau. (Singular limit for the minimization of Ginzburg-Landau functionals). Zbl 0773.49003Bethuel, Fabrice; Brézis, Haïm; Helein, Frédéric 9 1992 On the linear wave regime of the Gross-Pitaevskii equation. Zbl 1202.35296Béthuel, Fabrice; Danchin, Raphaël; Smets, Didier 9 2010 On the NLS dynamics for infinite energy vortex configurations on the plane. Zbl 1180.35045Bethuel, Fabrice; Jerrard, Robert L.; Smets, Didier 9 2008 A new obstruction to the extension problem for Sobolev maps between manifolds. Zbl 1321.46035Bethuel, Fabrice 8 2014 Ginzburg- Landau vortices and renormalized energy. (Tourbillons de Ginzburg-Landau et énergie renormalisée.) Zbl 0783.35014Bethuel, Fabrice; Brézis, Haïm; Helein, Frédéric 8 1993 Improved estimates for the Ginzburg-Landau equation: the elliptic case. Zbl 1121.35052Bethuel, F.; Orlandi, Giandomenico; Smets, Didier 7 2005 A remark on the Cauchy problem for the 2D Gross-Pitaevskii equation with nonzero degree at infinity. Zbl 1212.35376Bethuel, Fabrice; Smets, Didier 7 2007 \(W^{1,p}\) estimates for solutions to the Ginzburg-Landau equation with boundary data in \(H^{1/2}\). Zbl 1080.35020Bethuel, Fabrice; Bourgain, Jean; Brezis, Haïm; Orlandi, Giandomenico 7 2001 Uniform estimates for the parabolic Ginzburg-Landau equation. Zbl 1078.35013Bethuel, F.; Orlandi, G. 7 2002 Parametric surfaces with prescribed mean curvature. Zbl 1072.53001Caldiroli, P.; Bethuel, F.; Guida, M. 6 2002 Convergence of the parabolic Ginzburg–Landau equation to motion by mean curvature. Zbl 1031.35026Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 5 2003 Vortices and sound waves for the Gross-Pitaevskii equation. Zbl 1271.82030Bethuel, F.; Saut, J. C. 5 2002 Variational methods for Ginzburg-Landau equations. Zbl 0940.35073Bethuel, F. 4 1999 On an open problem for Jacobians raised by Bourgain, Brezis and mironescu. Zbl 1113.35315Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 4 2003 Topological methods for the Ginzburg-Landau equation. (Méthodes topologiques pour l’équation de Ginzburg-Landau.) Zbl 0826.35036Almeida, Luís; Bethuel, Fabrice 3 1995 Minimisation de \(\int | \nabla (u-(x/| x|))| ^ 2\) et divers phénomènes de gap. (Minimization of \(\int | \nabla (u- (x/| x|))| ^ 2\) and various gap phenomena). Zbl 0717.49005Bethuel, Fabrice; Brézis, Haïm 3 1990 Multiplicity results for the Ginzburg-Landau equation in presence of symmetries. Zbl 0901.35029Almeida, Luís; Bethuel, Fabrice 3 1997 Motion of concentration sets in Ginzburg-Landau equations. Zbl 1063.35075Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 3 2004 Sur la densité des fonctions régulières entre deux variétés dans des espaces de Sobolev. (On the density of smooth functions between two compact manifolds in Sobolev spaces). Zbl 0595.46036Bethuel, Fabrice; Zheng, Xiaomin 2 1986 Regularity for solutions to the equation of surfaces of prescribed mean curvature using the coarea formula. Zbl 0947.35060Bethuel, F.; Ghidaglia, J. M. 2 1998 The Euler equation, the wave equation and the Korteweg-de Vries equation as asymptotic limits of the Gross-Pitaevskii equation. (Les équations d’Euler, des ondes et de Korteweg-de Vries comme limites asymptotiques de l’équation de Gross-Pitaevskii.) Zbl 1208.35125Béthuel, Fabrice; Danchin, Raphaël; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 2 2010 Ginzburg-Landau functionals. Phase transitions and vorticity. Zbl 1073.35085Bethuel, F.; Orlandi, G. 2 2004 Large solutions for the equation of surfaces of prescribed mean curvature. Zbl 0878.35042Bethuel, Fabrice; Rey, Olivier 2 1994 A remark on the instability of symmetric vortices with large coupling constant. Zbl 0943.35007Almeida, Luis; Bethuel, Fabrice; Guo, Yan 2 1997 Dynamics of multiple degree Ginzburg-Landau vortices. Zbl 1096.35014Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 2 2006 The Jacobian, the square root and the set \(\infty \). Zbl 1173.35038Bethuel, Fabrice 1 2009 Vorticity in Ginzburg-Landau models for supraconductivity. (Vorticité dans les modèles de Ginzburg-Landau pour la supraconductivité.) Zbl 0876.35112Bethuel, F.; Rivière, T. 1 1994 The problem of surfaces with prescribed mean curvature. (Le problème des surfaces à courbure moyenne prescrite.) Zbl 1158.53305Bethuel, Fabrice; Rey, Olivier 1 1993 Ginzburg-Landau functionals and configuration spaces of positive and negative particles. (Fonctionnelles de Ginzburg-Landau et espaces de configurations de particules positives et negatives.) Zbl 0948.35511Almeida, L.; Bethuel, F. 1 1996 Regularity of solutions of certain elliptic equations in dimension two and the co-area formula. (Régularité des solutions de certaines équations elliptiques en dimension deux et formule de la co-aire.) Zbl 0812.35037Bethuel, Fabrice; Ghidaglia, Jean-Michel 1 1993 Weak limits of solutions to the steady incompressible two-dimensional Euler equation in a bounded domain. Zbl 0808.76014Bethuel, Fabrice; Ghidaglia, Jean-Michel 1 1994 Symmetrization of dissipative-dispersive traveling waves for systems of conservation laws. Zbl 1058.35157Bethuel, Fabrice; Despres, Bruno; Smets, Didier 1 2005 Régularité des minima de problèmes relaxés pour les applications harmoniques. (Regularity of minimizers of relaxed energies for harmonic maps). Zbl 0706.35027Bethuel, Fabrice; Brézis, Haïm 1 1990 Ginzburg-Landau vortices. Reprint of the 1994 hardback edition. Zbl 1372.35002Bethuel, Fabrice; Brezis, Haïm; Hélein, Frédéric 10 2017 Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation. (Stabilité asymptotique dans l’espace d’énergie pour les solitons sombres de l’équation de Gross-Pitaevskii.) Zbl 1353.35256Béthuel, Fabrice; Gravejat, Philippe; Smets, Didier 14 2015 Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation. (Stabilité dans l’espace d’énergie pour les chaînes de solitons de l’équation de Gross-Pitaevskii en dimension un.) Zbl 1337.35131Béthuel, Fabrice; Gravejat, Philippe; Smets, Didier 14 2014 A new obstruction to the extension problem for Sobolev maps between manifolds. Zbl 1321.46035Bethuel, Fabrice 8 2014 Slow motion for equal depth multiple-well gradient systems: the degenerate case. Zbl 1263.35018Bethuel, Fabrice; Smets, Didier 10 2013 Slow motion for gradient systems with equal depth multiple-well potentials. Zbl 1213.35254Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 11 2011 On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. II. Zbl 1213.35367Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 16 2010 On the linear wave regime of the Gross-Pitaevskii equation. Zbl 1202.35296Béthuel, Fabrice; Danchin, Raphaël; Smets, Didier 9 2010 The Euler equation, the wave equation and the Korteweg-de Vries equation as asymptotic limits of the Gross-Pitaevskii equation. (Les équations d’Euler, des ondes et de Korteweg-de Vries comme limites asymptotiques de l’équation de Gross-Pitaevskii.) Zbl 1208.35125Béthuel, Fabrice; Danchin, Raphaël; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 2 2010 Travelling waves for the Gross-Pitaevskii equation. II. Zbl 1190.35196Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 33 2009 On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation. I. Zbl 1183.35240Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier 15 2009 The Jacobian, the square root and the set \(\infty \). Zbl 1173.35038Bethuel, Fabrice 1 2009 Orbital stability of the black soliton for the Gross-Pitaevskii equation. Zbl 1171.35012Béthuel, Fabrice; Gravejat, Phillipe; Saut, Jean-Claude; Smets, Didier 23 2008 Existence and properties of travelling waves for the Gross-Pitaevski equation. Zbl 1216.35132Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 17 2008 On the KPI transonic limit of two-dimensional Gross-Pitaevskii travelling waves. Zbl 1186.35199Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude 12 2008 On the NLS dynamics for infinite energy vortex configurations on the plane. Zbl 1180.35045Bethuel, Fabrice; Jerrard, Robert L.; Smets, Didier 9 2008 Some questions related to the lifting problem in Sobolev spaces. Zbl 1201.46029Bethuel, Fabrice; Chiron, David 24 2007 Quantization and motion law for Ginzburg-Landau vortices. Zbl 1105.76062Smets, Didier; Bethuel, Fabrice; Orlandi, Giandomenico 14 2007 Dynamics of multiple degree Ginzburg-Landau vortices. Zbl 1135.35014Bethuel, F.; Orlandi, G.; Smets, D. 11 2007 A remark on the Cauchy problem for the 2D Gross-Pitaevskii equation with nonzero degree at infinity. Zbl 1212.35376Bethuel, Fabrice; Smets, Didier 7 2007 Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature. Zbl 1103.35038Bethuel, F.; Orlandi, G.; Smets, D. 40 2006 Dynamics of multiple degree Ginzburg-Landau vortices. Zbl 1096.35014Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 2 2006 Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics. Zbl 1087.35008Bethuel, F.; Orlandi, G.; Smets, D. 18 2005 Improved estimates for the Ginzburg-Landau equation: the elliptic case. Zbl 1121.35052Bethuel, F.; Orlandi, Giandomenico; Smets, Didier 7 2005 Symmetrization of dissipative-dispersive traveling waves for systems of conservation laws. Zbl 1058.35157Bethuel, Fabrice; Despres, Bruno; Smets, Didier 1 2005 Vortex rings for the Gross-Pitaevskii equation. Zbl 1091.35085Bethuel, F.; Orlandi, G.; Smets, D. 47 2004 Approximations with vorticity bounds for the Ginzburg-Landau functional. Zbl 1129.35329Bethuel, F.; Orlandi, G.; Smets, D. 18 2004 Motion of concentration sets in Ginzburg-Landau equations. Zbl 1063.35075Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 3 2004 Ginzburg-Landau functionals. Phase transitions and vorticity. Zbl 1073.35085Bethuel, F.; Orlandi, G. 2 2004 Convergence of the parabolic Ginzburg–Landau equation to motion by mean curvature. Zbl 1031.35026Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 5 2003 On an open problem for Jacobians raised by Bourgain, Brezis and mironescu. Zbl 1113.35315Bethuel, Fabrice; Orlandi, Giandomenico; Smets, Didier 4 2003 Uniform estimates for the parabolic Ginzburg-Landau equation. Zbl 1078.35013Bethuel, F.; Orlandi, G. 7 2002 Parametric surfaces with prescribed mean curvature. Zbl 1072.53001Caldiroli, P.; Bethuel, F.; Guida, M. 6 2002 Vortices and sound waves for the Gross-Pitaevskii equation. Zbl 1271.82030Bethuel, F.; Saut, J. C. 5 2002 Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions. Zbl 1077.35047Bethuel, F.; Brezis, H.; Orlandi, G. 54 2001 \(W^{1,p}\) estimates for solutions to the Ginzburg-Landau equation with boundary data in \(H^{1/2}\). Zbl 1080.35020Bethuel, Fabrice; Bourgain, Jean; Brezis, Haïm; Orlandi, Giandomenico 7 2001 Small energy solutions to the Ginzburg-Landau equation. Zbl 0969.35055Bethuel, Fabrice; Brézis, Haïm; Orlandi, Giandomenico 11 2000 Travelling waves for the Gross-Pitaevskii equation. I. Zbl 0933.35177Bethuel, Fabrice; Saut, Jean-Claude 42 1999 Variational methods for Ginzburg-Landau equations. Zbl 0940.35073Bethuel, F. 4 1999 Topological methods for the Ginzburg-Landau equations. Zbl 0904.35023Almeida, Luís; Bethuel, Fabrice 28 1998 Regularity for solutions to the equation of surfaces of prescribed mean curvature using the coarea formula. Zbl 0947.35060Bethuel, F.; Ghidaglia, J. M. 2 1998 Multiplicity results for the Ginzburg-Landau equation in presence of symmetries. Zbl 0901.35029Almeida, Luís; Bethuel, Fabrice 3 1997 A remark on the instability of symmetric vortices with large coupling constant. Zbl 0943.35007Almeida, Luis; Bethuel, Fabrice; Guo, Yan 2 1997 Ginzburg-Landau functionals and configuration spaces of positive and negative particles. (Fonctionnelles de Ginzburg-Landau et espaces de configurations de particules positives et negatives.) Zbl 0948.35511Almeida, L.; Bethuel, F. 1 1996 Vortices for a variational problem related to superconductivity. Zbl 0842.35119Bethuel, Fabrice; Rivière, Tristan 49 1995 Extensions for Sobolev mappings between manifolds. Zbl 0846.46021Bethuel, F.; Demengel, F. 18 1995 Approximations in trace spaces defined between manifolds. Zbl 0824.58011Bethuel, Fabrice 12 1995 Topological methods for the Ginzburg-Landau equation. (Méthodes topologiques pour l’équation de Ginzburg-Landau.) Zbl 0826.35036Almeida, Luís; Bethuel, Fabrice 3 1995 Ginzburg-Landau vortices. Zbl 0802.35142Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric 224 1994 Some applications of the coarea formula to partial differential equations. Zbl 0879.35028Bethuel, Fabrice 10 1994 Multiple solutions to the Plateau problem for nonconstant mean curvature. Zbl 0815.53010Bethuel, Fabrice; Rey, Olivier 10 1994 Large solutions for the equation of surfaces of prescribed mean curvature. Zbl 0878.35042Bethuel, Fabrice; Rey, Olivier 2 1994 Vorticity in Ginzburg-Landau models for supraconductivity. (Vorticité dans les modèles de Ginzburg-Landau pour la supraconductivité.) Zbl 0876.35112Bethuel, F.; Rivière, T. 1 1994 Weak limits of solutions to the steady incompressible two-dimensional Euler equation in a bounded domain. Zbl 0808.76014Bethuel, Fabrice; Ghidaglia, Jean-Michel 1 1994 Asymptotics for the minimization of a Ginzburg-Landau functional. Zbl 0834.35014Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric 157 1993 On the singular set of stationary harmonic maps. Zbl 0792.53039Bethuel, Fabrice 90 1993 Improved regularity of solutions to elliptic equations involving Jacobians and applications. Zbl 0831.35025Bethuel, F.; Ghidaglia, J.-M. 28 1993 Weak limits of Palais-Smale sequences for a class of critical functionals. Zbl 0812.58018Bethuel, Fabrice 11 1993 Ginzburg- Landau vortices and renormalized energy. (Tourbillons de Ginzburg-Landau et énergie renormalisée.) Zbl 0783.35014Bethuel, Fabrice; Brézis, Haïm; Helein, Frédéric 8 1993 The problem of surfaces with prescribed mean curvature. (Le problème des surfaces à courbure moyenne prescrite.) Zbl 1158.53305Bethuel, Fabrice; Rey, Olivier 1 1993 Regularity of solutions of certain elliptic equations in dimension two and the co-area formula. (Régularité des solutions de certaines équations elliptiques en dimension deux et formule de la co-aire.) Zbl 0812.35037Bethuel, Fabrice; Ghidaglia, Jean-Michel 1 1993 Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders. Zbl 0825.76062Bethuel, F.; Brézis, Haïm; Coleman, B. D.; Hélein, F. 22 1992 Un résultat de régularité pour les solutions de l’équation des surfaces à courboure moyenne prescrite. (A regularity result for solutions of the equation of surfaces of prescribed mean curvature). Zbl 0795.35024Bethuel, Fabrice 22 1992 Heat flows and relaxed energies for harmonic maps. Zbl 0795.35053Bethuel, Fabrice; Coron, Jean-Michel; Ghidaglia, Jean-Michel; Soyeur, Alain 11 1992 Limite singulière pour la minimisation de fonctionnelles du type Ginzburg-Landau. (Singular limit for the minimization of Ginzburg-Landau functionals). Zbl 0773.49003Bethuel, Fabrice; Brézis, Haïm; Helein, Frédéric 9 1992 The approximation problem for Sobolev maps between two manifolds. Zbl 0756.46017Bethuel, Fabrice 98 1991 A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds. Zbl 0735.46017Bethuel, F.; Coron, Jean-Michel; Demengel, F.; Helein, F. 17 1991 Regularity of minimizers of relaxed problems for harmonic maps. Zbl 0797.49034Bethuel, Fabrice; Brézis, Haïm 13 1991 Relaxed energies for harmonic maps. Zbl 0793.58011Bethuel, F.; Brézis, Haïm; Coron, Jean-Michel 56 1990 A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps. Zbl 0708.58004Bethuel, F. 40 1990 Minimisation de \(\int | \nabla (u-(x/| x|))| ^ 2\) et divers phénomènes de gap. (Minimization of \(\int | \nabla (u- (x/| x|))| ^ 2\) and various gap phenomena). Zbl 0717.49005Bethuel, Fabrice; Brézis, Haïm 3 1990 Régularité des minima de problèmes relaxés pour les applications harmoniques. (Regularity of minimizers of relaxed energies for harmonic maps). Zbl 0706.35027Bethuel, Fabrice; Brézis, Haïm 1 1990 Density of smooth functions between two manifolds in Sobolev spaces. Zbl 0657.46027Bethuel, Fabrice; Zheng, Xiaomin 104 1988 Sur la densité des fonctions régulières entre deux variétés dans des espaces de Sobolev. (On the density of smooth functions between two compact manifolds in Sobolev spaces). Zbl 0595.46036Bethuel, Fabrice; Zheng, Xiaomin 2 1986 all cited Publications top 5 cited Publications all top 5 Cited by 725 Authors 35 Bethuel, Fabrice 25 Serfaty, Sylvia 24 Mironescu, Petru 23 Ignat, Radu 22 Orlandi, Giandomenico 21 Liu, Zuhan 19 Lei, Yutian 19 Rivière, Tristan 18 Lin, Fang Hua 18 Smets, Didier 17 Alama, Stan 16 Brézis, Haïm 16 Bronsard, Lia 16 Jerrard, Robert Leon 16 Van Schaftingen, Jean 15 Majumdar, Apala 15 Mucci, Domenico 15 Sandier, Etienne 14 Giaquinta, Mariano 13 Millot, Vincent 13 Wang, Changyou 12 Moser, Roger 12 Spirn, Daniel P. 12 Wei, Juncheng 12 Zarnescu, Arghir Dani 11 Canevari, Giacomo 11 Han, Jongmin 11 Isobe, Takeshi 11 Kurzke, Matthias W. 11 Lamy, Xavier 11 Slastikov, Valeriy V. 10 Bousquet, Pierre 10 Golovaty, Dmitry 10 Gravejat, Philippe 10 Musina, Roberta 10 Rodiac, Rémy 10 Shafrir, Itai 9 Caldiroli, Paolo 9 Chiron, David 9 de Laire, André 9 Hajłasz, Piotr 9 Hong, Minchun 9 Sternberg, Peter J. 8 Aftalion, Amandine 8 Berlyand, Leonid V. 8 Modica, Giuseppe 8 Ponsiglione, Marcello 8 Schikorra, Armin 7 Alicandro, Roberto 7 Correggi, Michele 7 Garroni, Adriana 7 Hadiji, Rejeb 7 Hardt, Robert M. 7 Li, Jiayu 7 Nguyen, Luc 7 Pisante, Adriano 7 Ponce, Augusto C. 7 Strzelecki, Paweł 6 Contreras, Andres A. 6 De Luca, Lucia 6 Dos Santos, Mickaël 6 Folino, Raffaele 6 Kim, Kwang Ik 6 Kowalczyk, Michał 6 Montero, José Alberto 6 Nguyen, Hoai-Minh 6 Pan, Xingbin 6 Rougerie, Nicolas 6 Saut, Jean-Claude 6 Soucek, Jiri 6 Sourdis, Christos 5 Alouges, François 5 Fonseca, Irene 5 Pelinovsky, Dmitry Efimovich 5 Petrache, Mircea 5 Rybalko, Volodymyr 5 Sigal, Israel Michael 5 Strani, Marta 5 Zhu, Miaomiao 4 André, Nelly 4 Bourgain, Jean 4 Choe, Kwangseok 4 Cicalese, Marco 4 Dávila, Juan 4 Hang, Fengbo 4 Iwaniec, Tadeusz 4 Lamm, Tobias 4 Mazowiecka, Katarzyna Ewa 4 Melcher, Christof 4 Muñoz, Claudio 4 Nakauchi, Nobumitsu 4 Novaga, Matteo 4 Plaza, Ramón G. 4 Soner, Halil Mete 4 Song, Kyungwoo 4 Struwe, Michael 4 van Meurs, Patrick 4 Yang, Yisong 4 Zhou, Feng 3 Ao, Weiwei ...and 625 more Authors all top 5 Cited in 176 Serials 68 Calculus of Variations and Partial Differential Equations 59 Archive for Rational Mechanics and Analysis 54 Journal of Functional Analysis 46 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Comptes Rendus. Mathématique. Académie des Sciences, Paris 23 Journal of Mathematical Analysis and Applications 22 Communications in Mathematical Physics 21 Communications in Contemporary Mathematics 19 Journal of Differential Equations 19 Communications in Partial Differential Equations 18 Journal of Mathematical Physics 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Manuscripta Mathematica 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Communications on Pure and Applied Mathematics 14 Journal of the European Mathematical Society (JEMS) 13 SIAM Journal on Mathematical Analysis 11 Journal d’Analyse Mathématique 11 The Journal of Geometric Analysis 10 Duke Mathematical Journal 10 Journal of Nonlinear Science 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 9 Proceedings of the American Mathematical Society 9 Transactions of the American Mathematical Society 9 Discrete and Continuous Dynamical Systems 9 Nonlinear Analysis. Theory, Methods & Applications 8 Mathematische Zeitschrift 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 SIAM Journal on Applied Mathematics 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Advances in Mathematics 7 Mathematische Annalen 7 Physica D 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Annals of Global Analysis and Geometry 6 Science in China. Series A 6 Journal of Fixed Point Theory and Applications 6 Advances in Calculus of Variations 5 Reviews in Mathematical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Chinese Annals of Mathematics. Series B 5 Potential Analysis 5 Acta Mathematica Sinica. English Series 5 Séminaire Laurent Schwartz. EDP et Applications 4 Mathematics of Computation 4 Acta Mathematica 4 Applied Mathematics and Computation 4 Acta Applicandae Mathematicae 4 Revista Matemática Iberoamericana 4 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Computational Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Annales de l’Institut Fourier 3 International Journal for Numerical Methods in Engineering 3 Inventiones Mathematicae 3 European Journal of Applied Mathematics 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Geometric and Functional Analysis. GAFA 3 Journal of Mathematical Sciences (New York) 3 Annals of Mathematics. Second Series 3 Analysis & PDE 3 Journal of Elliptic and Parabolic Equations 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Archiv der Mathematik 2 Journal of Computational and Applied Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Memoirs of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Ricerche di Matematica 2 Studies in Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of the American Mathematical Society 2 Asymptotic Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 SIAM Journal on Scientific Computing 2 Mathematics and Mechanics of Solids 2 Taiwanese Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Mediterranean Journal of Mathematics 2 Boundary Value Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Physics A: Mathematical and Theoretical 2 Annals of PDE 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Mechanics and Physics of Solids 1 Physica A 1 Studia Mathematica 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Optimization ...and 76 more Serials all top 5 Cited in 42 Fields 602 Partial differential equations (35-XX) 242 Global analysis, analysis on manifolds (58-XX) 195 Calculus of variations and optimal control; optimization (49-XX) 191 Statistical mechanics, structure of matter (82-XX) 103 Differential geometry (53-XX) 99 Fluid mechanics (76-XX) 81 Functional analysis (46-XX) 48 Quantum theory (81-XX) 39 Dynamical systems and ergodic theory (37-XX) 32 Mechanics of deformable solids (74-XX) 28 Numerical analysis (65-XX) 26 Optics, electromagnetic theory (78-XX) 22 Real functions (26-XX) 19 Operator theory (47-XX) 18 Algebraic topology (55-XX) 11 Measure and integration (28-XX) 10 Ordinary differential equations (34-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Manifolds and cell complexes (57-XX) 7 Potential theory (31-XX) 6 Functions of a complex variable (30-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Probability theory and stochastic processes (60-XX) 5 Operations research, mathematical programming (90-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 4 General topology (54-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Information and communication theory, circuits (94-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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