Edit Profile (opens in new tab) Brézis, Haïm (b. 1944 d. 2024) Co-Author Distance Author ID: brezis.haim Published as: Brézis, Haïm; Brezis, Haïm; Brezis, Haim; Brezis, H.; Brezis, Haïim; Brézis, Haim; Brezis, Haím; Brezis, Haım; Brézis, H. more...less Further Spellings: Брезис Х Homepage: http://sites.math.rutgers.edu/~brezis/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 310 Publications since 1965, including 9 Books and 1 Additional arXiv Preprint 22 Contributions as Editor · 3 Further Contributions Reviewing Activity: 47 Reviews Biographic References: 5 Publications Co-Authors: 110 Co-Authors with 232 Joint Publications 4,277 Co-Co-Authors all top 5 Co-Authors 101 single-authored 26 Mironescu, Petru 17 Browder, Felix Earl 17 Nirenberg, Louis 15 Bourgain, Jean 13 Bethuel, Fabrice 13 Lions, Jacques-Louis 10 Nguyen, Hoai-Minh 9 Coron, Jean-Michel 9 Stampacchia, Guido 8 Ponce, Augusto C. 7 Lieb, Elliott Hershel 6 Hélein, Frédéric 6 Li, YanYan 6 Peletier, Lambertus Adrianus 6 Shafrir, Itai 6 Van Schaftingen, Jean 5 Berestycki, Henri 5 Crandall, Michael G. 4 Friedman, Avner 4 Kinderlehrer, David 4 Lions, Pierre-Louis 4 Marcus, Moshe M. 4 Mawhin, Jean 4 Pazy, Amnon 4 Yung, Polam 3 Bahri, Abbas 3 Bardos, Claude Williams 3 Bénilan, Philippe 3 Cazenave, Thierry 3 Cioranescu, Doina 3 Ekeland, Ivar 3 Merle, Frank 3 Orlandi, Giandomenico 3 Oswald, Luc 3 Rabinowitz, Paul Henry 3 Rosenkrantz, Walter Abraham 3 Sibony, Moïse 2 Aflalo, Yonathan 2 Ambrosio, Luigi 2 Antman, Stuart S. 2 Atkinson, Frederick Valentine 2 Boccardo, Lucio 2 Caffarelli, Luis Ángel 2 Chang, Kung-Ching 2 Coleman, Bernard David 2 Figalli, Alessio 2 Kamin, Shoshana 2 Kappel, Franz 2 Kimmel, Ron 2 Lax, Peter David 2 Li, Shujie 2 Martel, Yvan 2 Ramiandrisoa, Arthur 2 Rivière, Tristan 2 Seeger, Andreas 1 Agmon, Shmuel 1 Ambrosetti, Antonio 1 Arendt, Wolfgang 1 Attouch, Hedy 1 Baillon, Jean-Bernard 1 Beals, Richard W. 1 Benguria, Rafael D. 1 Bensoussan, Alain 1 Berger, Alan E. 1 Birindelli, Isabeau 1 Bona, Jerry Lloyd 1 Bourguignon, Jean-Pierre 1 Brézis, David 1 Bruckstein, Alfred Marcel 1 Cabré, Xavier 1 Cerami, Giovanna 1 Chang, Sun-Yung Alice 1 Chanillo, Sagun 1 Chipot, Michel 1 Cohen, Amy 1 Coti Zelati, Vittorio 1 Guedes de Figueiredo, Djairo 1 Dupaigne, Louis 1 Duvaut, Georges 1 Evans, Lawrence Craig 1 Fefferman, Charles Louis 1 Fraenkel, L. Edward 1 Fusco, Nicola 1 Gallouët, Thierry 1 Goldstein, Jerome Arthur 1 Golse, François 1 Gómez-Castro, David 1 Haraux, Alain 1 Hirano, Norimichi 1 Hughes, Thomas J. R. 1 Kato, Tosio 1 Kawashima, Shuichi 1 Kenmochi, Nobuyuki 1 Kichenassamy, Satyanad 1 Klainerman, Sergiu 1 Knops, Robin J. 1 Kobayashi, Kazuo 1 Kohn, Joseph J. 1 Kohn, Robert Vita 1 Lebowitz, Joel Louis ...and 39 more Co-Authors all top 5 Serials 18 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 16 Journal of Functional Analysis 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Communications on Pure and Applied Mathematics 13 Archive for Rational Mechanics and Analysis 13 Comptes Rendus de l’Académie des Sciences. Série I 9 Research Notes in Mathematics (San Francisco) 6 Communications in Mathematical Physics 6 Israel Journal of Mathematics 6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 Bulletin of the American Mathematical Society 6 Pitman Research Notes in Mathematics Series 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Communications in Partial Differential Equations 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal d’Analyse Mathématique 4 Advances in Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Communications in Contemporary Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Topological Methods in Nonlinear Analysis 3 Selecta Mathematica. New Series 3 Journal of the European Mathematical Society (JEMS) 3 Nonlinear Analysis. Theory, Methods & Applications 2 Russian Mathematical Surveys 2 Annales de l’Institut Fourier 2 Journal of Differential Equations 2 Differential and Integral Equations 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 2 Journal of Evolution Equations 2 Progress in Nonlinear Differential Equations and Their Applications 1 Houston Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Bulletin de la Société Mathématique de France 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 RAIRO. Analyse Numérique 1 Ricerche di Matematica 1 Southeast Asian Bulletin of Mathematics 1 Journal of Operator Theory 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Revista Matemática de la Universidad Complutense de Madrid 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Matemática Aplicada e Computacional 1 Journal of Partial Differential Equations 1 Communications in Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Annals of Mathematics. Second Series 1 Nonlinear Boundary Value Problems 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Analysis in Theory and Applications 1 Bollettino della Unione Matematica Italiana. Series IV 1 Bollettino della Unione Matematica Italiana. Series V. A 1 North-Holland Mathematics Studies 1 New Studies in Advanced Mathematics 1 Series in Contemporary Applied Mathematics CAM 1 SIAM Journal on Imaging Sciences 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Analysis & PDE 1 Confluentes Mathematici 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annals of PDE 1 Universitext 1 Modern Birkhäuser Classics 1 RIMS Kokyuroku all top 5 Fields 197 Partial differential equations (35-XX) 71 Functional analysis (46-XX) 62 Operator theory (47-XX) 61 Calculus of variations and optimal control; optimization (49-XX) 43 Global analysis, analysis on manifolds (58-XX) 23 General and overarching topics; collections (00-XX) 23 Real functions (26-XX) 20 Fluid mechanics (76-XX) 10 Differential geometry (53-XX) 9 Ordinary differential equations (34-XX) 9 Integral equations (45-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Mechanics of deformable solids (74-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Quantum theory (81-XX) 5 Potential theory (31-XX) 5 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Information and communication theory, circuits (94-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 285 Publications have been cited 24,044 times in 17,810 Documents Cited by ▼ Year ▼ Functional analysis, Sobolev spaces and partial differential equations. Zbl 1220.46002 Brezis, Haim 2,555 2011 Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. Zbl 0252.47055 Brézis, Haïm 2,026 1973 Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029 Brézis, Haïm; Nirenberg, Louis 1,694 1983 A relation between pointwise convergence of functions and convergence of functionals. Zbl 0526.46037 Brézis, Haïm; Lieb, Elliott H. 1,448 1983 Analyse fonctionnelle. Théorie et applications. Zbl 0511.46001 Brézis, Haïm 1,399 1983 Combined effects of concave and convex nonlinearities in some elliptic problems. Zbl 0805.35028 Ambrosetti, Antonio; Brézis, Haïm; Cerami, Giovanna 721 1994 Uniform estimates and blow-up behavior for solutions of \(-\Delta{} u =V(x) e^ u\) in two dimensions. Zbl 0746.35006 Brézis, Haïm; Merle, Frank 429 1991 Équations et inéquations non linéaires dans les espaces vectoriels en dualité. Zbl 0169.18602 Brézis, Haïm 416 1968 Ginzburg-Landau vortices. Zbl 0802.35142 Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric 378 1994 Another look at Sobolev spaces. Zbl 1103.46310 Bourgain, Jean; Brezis, Haim; Mironescu, Petru 361 2001 Blow-up solutions of some nonlinear elliptic problems. Zbl 0894.35038 Brézis, Haïm; Vázquez, Juan Luis 338 1997 Semi-linear second-order elliptic equations in \(L^1\). Zbl 0278.35041 Brézis, Haïm; Strauss, Walter A. 325 1973 Nonlinear Schrödinger evolution equations. Zbl 0451.35023 Brézis, Haïm; Gallouet, T. 302 1980 Problèmes unilateraux. Zbl 0237.35001 Brézis, Haïm 300 1972 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071 Brézis, Haïm; Wainger, Stephen 298 1980 Remarks on sublinear elliptic equations. Zbl 0593.35045 Brézis, Haïm; Oswald, Luc 285 1986 Remarks on the Schrödinger operator with singular complex potentials. Zbl 0408.35025 Brézis, Haïm; Kato, Tosio 261 1979 Hardy’s inequalities revisited. Zbl 1011.46027 Brezis, Haïm; Marcus, Moshe 232 1997 Remarks on finding critical points. Zbl 0751.58006 Brézis, Haïm; Nirenberg, Louis 230 1991 Remarks on the Euler equation. Zbl 0279.58005 Bourguignon, Jean-Pierre; Brézis, Haïm 220 1974 Harmonic maps with defects. Zbl 0608.58016 Brézis, Haïm; Coron, Jean-Michel; Lieb, Elliott H. 215 1986 The Thomas-Fermi-von Weizsäcker theory of atoms and molecules. Zbl 0478.49035 Benguria, Rafael; Brézis, Haïm; Lieb, Elliott H. 190 1981 H\(^ 1\) versus C\(^ 1\) local minimizers. Zbl 0803.35029 Brézis, Haïm; Nirenberg, Louis 189 1993 Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035 Brézis, Haïm; Nirenberg, Louis 189 1978 Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Zbl 0278.47033 Brézis, Haïm 182 1971 A semilinear equation in \(L^1(\mathbb R^N)\). Zbl 0314.35077 Benilan, Philippe; Brézis, Haïm; Crandall, Michael G. 177 1975 Sublinear elliptic equations in \(\mathbb{R}{}^ n\). Zbl 0761.35027 Brézis, Haïm; Kamin, Shoshana 174 1992 Asymptotics for the minimization of a Ginzburg-Landau functional. Zbl 0834.35014 Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric 167 1993 Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010 Brézis, Haïm; Nirenberg, Louis 167 1995 Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications. Zbl 1029.46030 Bourgain, Jean; Brezis, Haïm; Mironescu, Petru 161 2002 Convergence of solutions of H-systems or how to blow bubbles. Zbl 0584.49024 Brézis, Haïm; Coron, Jean-Michel 161 1985 Produits infinis de resolvantes. Zbl 0387.47038 Brézis, Haïm; Lions, Pierre-Louis 156 1978 Sur la régularité de la solution d’inéquations elliptiques. Zbl 0165.45601 Brézis, Haïm; Stampacchia, Guido 151 1968 Nonlinear parabolic equations involving measures as initial conditions. Zbl 0527.35043 Brézis, Haïm; Friedman, Avner 148 1983 A nonlinear heat equation with singular initial data. Zbl 0868.35058 Brézis, Haïm; Cazenave, Thierry 146 1996 A remark on Ky Fan’s minimax principle. Zbl 0264.49013 Brézis, Haïm; Nirenberg, Louis; Stampacchia, Guido 144 1972 Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063 Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur 136 1996 Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity. Zbl 0562.35035 Brézis, Haïm 136 1984 Some simple nonlinear PDE’s without solutions. Zbl 0907.35048 Brézis, Haïm; Cabré, Xavier 135 1998 On a class of superlinear elliptic problems. Zbl 0358.35032 Brézis, Haïm; Turner, R. E. L. 134 1977 Perturbations on nonlinear maximal monotone sets in Banach space. Zbl 0182.47501 Brézis, Haïm; Crandall, M. G.; Pazy, A. 129 1970 Removable singularities for some nonlinear elliptic equations. Zbl 0459.35032 Brézis, Haïm; Véron, Laurent 126 1980 On the equation \(\operatorname{div}Y=f\) and application to control of phases. Zbl 1075.35006 Bourgain, Jean; Brezis, Haïm 122 2003 Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces. Zbl 1023.46031 Brezis, Haïm; Mironescu, Petru 120 2001 How to recognize constant functions. Connections with Sobolev spaces. Zbl 1072.46020 Brézis, Haïm 118 2002 Multiple solution of H-systems and Rellich’s conjecture. Zbl 0537.49022 Brézis, Haïm; Coron, Jean-Michel 116 1984 Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057 Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis 115 1980 A very singular solution of the heat equation with absorption. Zbl 0627.35046 Brézis, Haïm; Peletier, L. A.; Terman, D. 113 1986 Convergence and approximation of semigroups of nonlinear operators in Banach spaces. Zbl 0231.47036 Brézis, Haïm; Pazy, A. 110 1972 Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\). Zbl 0408.35054 Brézis, Haïm; Crandall, Michael G. 109 1979 Periodic solutions of nonlinear vibrating strings and duality principles. Zbl 0515.35060 Brézis, Haïm 107 1983 The smoothness of solutions to nonlinear variational inequalities. Zbl 0278.49011 Brézis, Haïm; Kinderlehrer, David 97 1974 A general principle on ordered sets in nonlinear functional analysis. Zbl 0339.47030 Brézis, Haïm; Browder, Felix E. 97 1976 Minimum action solutions of some vector field equations. Zbl 0579.35025 Brézis, Haïm; Lieb, Elliott H. 97 1984 Forced vibrations for a nonlinear wave equation. Zbl 0378.35040 Brézis, Haïm; Nirenberg, Louis 96 1978 Gagliardo-Nirenberg inequalities and non-inequalities: the full story. Zbl 1401.46022 Brezis, Haïm; Mironescu, Petru 93 2018 Lifting in Sobolev spaces. Zbl 0967.46026 Bourgain, Jean; Brézis, Haïm; Mironescu, Petru 91 2000 Sobolev inequalities with remainder terms. Zbl 0577.46031 Brézis, Haïm; Lieb, Elliott H. 91 1985 Asymptotics for elliptic equations involving critical growth. Zbl 0685.35013 Brézis, Haïm; Peletier, Lambertus A. 89 1989 New estimates for elliptic equations and Hodge type systems. Zbl 1176.35061 Bourgain, Jean; Brezis, Haïm 84 2007 Nonlinear problems related to the Thomas-Fermi equation. Zbl 1150.35406 Bénilan, Philippe; Brezis, Haïm 82 2003 On a characterization of flow-invariant sets. Zbl 0191.38703 Brézis, Haïm 81 1970 \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation. Zbl 1051.49030 Bourgain, Jean; Brezis, Haim; Mironescu, Petru 79 2004 Image d’une somme d’opérateurs monotones et applications. Zbl 0323.47041 Brézis, Haïm; Haraux, Alain 78 1976 Large solutions for harmonic maps in two dimensions. Zbl 0532.58006 Brézis, Haïm; Coron, Jean-Michel 71 1983 Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions. Zbl 1077.35047 Bethuel, F.; Brezis, H.; Orlandi, G. 66 2001 Une remarque sur le comportement asymptotique des semigroupes non linéaires. Zbl 0318.47039 Baillon, J. B.; Brézis, Haïm 66 1976 On a free boundary problem arising in plasma physics. Zbl 0437.35032 Berestycki, Henri; Brézis, Haïm 66 1980 Duality for the sum of convex functions in general Banach spaces. Zbl 0642.46004 Attouch, Hedy; Brézis, Haïm 66 1986 Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\). Zbl 0809.35019 Brézis, Haïm; Merle, Frank; Rivière, Tristan 63 1994 Nonlinear integral equations and systems of Hammerstein type. Zbl 0318.45011 Brézis, Haïm; Browder, Felix E. 62 1975 Nodal solutions of elliptic equations with critical Sobolev exponents. Zbl 0702.35099 Atkinson, F. V.; Brézis, Haïm; Peletier, L. A. 61 1990 Nonlinear elliptic equations with measures revisited. Zbl 1151.35034 Brezis, H.; Marcus, M.; Ponce, A. C. 61 2007 Relaxed energies for harmonic maps. Zbl 0793.58011 Bethuel, F.; Brézis, Haïm; Coron, Jean-Michel 59 1990 Elliptic equations with limiting Sobolev exponents - The impact of topology. Zbl 0601.35043 Brézis, Haïm 57 1986 Extremal functions for Hardy’s inequality with weight. Zbl 0953.26006 Brézis, Haim; Marcus, Moshe; Shafrir, Itai 56 2000 Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017 Brézis, Haïm; Nirenberg, Louis 56 1996 New estimates for the Laplacian, the div-curl, and related Hodge systems. Zbl 1101.35013 Bourgain, Jean; Brezis, Haïm 54 2004 Méthodes d’approximation et d’itération pour les opérateurs monotones. Zbl 0157.22501 Brézis, Haïm; Sibony, M. 51 1968 Equivalence de deux inéquations variationnelles et applications. Zbl 0214.11104 Brézis, Haïm; Sibony, M. 51 1971 On a semilinear elliptic equation with inverse-square potential. Zbl 1161.35383 Brezis, Haïm; Dupaigne, Louis; Tesei, Alberto 50 2005 Existence theorems for nonlinear integral equations of Hammerstein type. Zbl 0298.47031 Brézis, Haïm; Browder, Felix E. 50 1975 Un principe variationnel associe à certaines équations paraboliques. Le cas independant du temps. Zbl 0332.49032 Brézis, Haïm; Ekeland, Ivar 49 1976 Some properties of higher order Sobolev spaces. Zbl 0512.46034 Brézis, Haïm; Browder, Felix E. 48 1982 A note on isolated singularities for linear elliptic equations. Zbl 0468.35036 Brézis, Haïm; Lions, Pierre-Louis 48 1981 Some remarks on a class of elliptic equations with degenerate coercivity. Zbl 1178.35183 Boccardo, Lucio; Brezis, Haïm 48 2003 Semigroups on nonlinear contractions on convex sets. Zbl 0209.45503 Brézis, Haïm; Pazy, A. 47 1970 Accretive sets and differental equations in Banach spaces. Zbl 0209.45602 Brézis, Haïm; Pazy, A. 46 1970 A sup+inf inequality for some nonlinear elliptic equations involving exponential nonlinearities. Zbl 0794.35048 Brézis, Haïm; Li, YanYan; Shafrir, Itai 46 1993 Some new results about Hammerstein equations. Zbl 0286.45007 Brézis, Haïm; Browder, Felix E. 45 1974 Reinforcement problems for elliptic equations and variational inequalities. Zbl 0434.35079 Brézis, Haïm; Caffarelli, Luis A.; Friedman, Avner 44 1980 Propriétés régularisantes de certains semi-groupes non linéaires. Zbl 0213.14903 Brézis, Haïm 43 1971 Periodic solutions of the forced relativistic pendulum. Zbl 1240.34207 Brézis, Haïm; Mawhin, Jean 43 2010 Partial differential equations in the 20th century. Zbl 0915.01011 Brézis, Haïm; Browder, Felix 43 1998 Un principle variationnel associe à certaines équations paraboliques. Le cas dependant du temps. Zbl 0334.35040 Brézis, Haïm; Ekeland, Ivar 42 1976 Lifting, degree, and distributional Jacobian revisited. Zbl 1077.46023 Bourgain, Jean; Brezis, Haïm; Mironescu, Petru 40 2005 The Jacobian determinant revisited. Zbl 1230.46029 Brezis, Haïm; Nguyen, Hoai-Minh 40 2011 Non-local functionals related to the total variation and connections with image processing. Zbl 1398.49042 Brezis, Haïm; Nguyen, Hoai-Minh 40 2018 Remarks on the preceding paper by M. Ben-Artzi “Global solutions of two- dimensional Navier-Stokes and Euler equations”. Zbl 0837.35112 Brézis, Haïm 38 1994 Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072 Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido 38 1978 Families of functionals representing Sobolev norms. Zbl 07846448 Brezis, Haïm; Seeger, Andreas; Van Schaftingen, Jean; Yung, Po-Lam 6 2024 A brief history of the Jacobian. Zbl 07805955 Brezis, Haïm; Mawhin, Jean; Mironescu, Petru 1 2024 Some of my favorite open problems. Zbl 1532.32001 Brezis, Haïm 1 2023 Sobolev spaces revisited. Zbl 1509.46021 Brezis, Haïm; Seeger, Andreas; van Schaftingen, Jean; Yung, Po-Lam 13 2022 Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008 Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam 22 2021 Sobolev maps to the circle. From the perspective of analysis, geometry, and topology. Zbl 1501.46001 Brezis, Haïm; Mironescu, Petru 8 2021 Non-local, non-convex functionals converging to Sobolev norms. Zbl 1432.49015 Brezis, Haïm; Nguyen, Hoai-Minh 11 2020 \(\Gamma\)-convergence of non-local, non-convex functionals in one dimension. Zbl 1447.49022 Brezis, Haïm; Nguyen, Hoai-Minh 2 2020 Where Sobolev interacts with Gagliardo-Nirenberg. Zbl 1436.46034 Brezis, Haïm; Mironescu, Petru 30 2019 Remarks on some minimization problems associated with BV norms. Zbl 1428.26017 Brezis, Haïm 3 2019 The Plateau problem from the perspective of optimal transport. (Le problème de Plateau vu dans la perspective du transport optimal.) Zbl 1426.49046 Brezis, Haim; Mironescu, Petru 2 2019 Gagliardo-Nirenberg inequalities and non-inequalities: the full story. Zbl 1401.46022 Brezis, Haïm; Mironescu, Petru 93 2018 Non-local functionals related to the total variation and connections with image processing. Zbl 1398.49042 Brezis, Haïm; Nguyen, Hoai-Minh 40 2018 Remarks on the Monge-Kantorovich problem in the discrete setting. (Remarques sur le problème de Monge-Kantorovich dans le cas discret.) Zbl 1384.49037 Brezis, Haïm 13 2018 Distances between classes in \(W^{1,1}(\Omega ;{\mathbb {S}}^{1})\). Zbl 1404.58019 Brezis, Haim; Mironescu, Petru; Shafrir, Itai 2 2018 Felix Browder (1927–2016). Zbl 1406.35004 Brezis, Haïim; Nussbaum, Roger D.; Cohen, Amy; Beals, Richard; Mawhin, Jean; Teman, Roger; Nirenberg, Louis; Berestycki, Henri; Mastrian, Barbara; Chanillo, Sagun; Lebowitz, Joel; Roberts, Fred; Bona, Jerry 1 2018 Ginzburg-Landau vortices. Reprint of the 1994 hardback edition. Zbl 1372.35002 Bethuel, Fabrice; Brezis, Haïm; Hélein, Frédéric 17 2017 Non-convex, non-local functionals converging to the total variation. (Convergence de fonctionnelles non convexes et non locales vers la variation totale.) Zbl 1356.49013 Brezis, Haïm; Nguyen, Hoai-Minh 9 2017 Rigidity of optimal bases for signal spaces. (Rigidité des bases optimales pour les espaces de signaux.) Zbl 1377.46007 Brezis, Haïm; Gómez-Castro, David 1 2017 The BBM formula revisited. Zbl 1362.46036 Brezis, Haïm; Nguyen, Hoai-Minh 31 2016 BMO-type norms related to the perimeter of sets. Zbl 1352.46026 Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio 21 2016 Two subtle convex nonlocal approximations of the BV-norm. Zbl 1344.49017 Brezis, Haïm; Nguyen, Hoai-Minh 20 2016 Distances between homotopy classes of \(W^{s,p}(\mathbb{S}^N;\mathbb{S}^N)^\ast\). Zbl 1371.46027 Brezis, Haïm; Mironescu, Petru; Shafrir, Itai 5 2016 Best bases for signal spaces. (Bases optimales pour des espaces de signaux.) Zbl 1361.94022 Aflalo, Yonathan; Brezis, Haïm; Bruckstein, Alfred; Kimmel, Ron; Sochen, Nir 5 2016 Distances between classes of sphere-valued Sobolev maps. (Distances entre classes d’applications de Sobolev à valeurs dans une sphère.) Zbl 1375.58010 Brézis, Haïm; Mironescu, Petru; Shafrir, Itai 1 2016 A new function space and applications. Zbl 1339.46028 Bourgain, Jean; Brezis, Haim; Mironescu, Petru 33 2015 New approximations of the total variation and filters in imaging. Zbl 1325.26036 Brezis, Haim 23 2015 On the optimality of shape and data representation in the spectral domain. Zbl 1360.94038 Aflalo, Yonathan; Brezis, Haim; Kimmel, Ron 10 2015 Density in \(W^{s, p}(\Omega; N)\). Zbl 1516.46021 Brezis, Haïm; Mironescu, Petru 7 2015 Perimeter of sets and BMO-type norms. (Périmètre d’ensembles et normes de type BMO.) Zbl 1316.46026 Ambrosio, Luigi; Bourgain, Jean; Brezis, Haïm; Figalli, Alessio 5 2014 Functional analysis, Sobolev spaces and partial differential equations. Zbl 1220.46002 Brezis, Haim 2,555 2011 The Jacobian determinant revisited. Zbl 1230.46029 Brezis, Haïm; Nguyen, Hoai-Minh 40 2011 On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces. Zbl 1252.58005 Brezis, Haïm; Nguyen, Hoai-Minh 14 2011 Comments on two notes by L. Ma and X. Xu. Zbl 1223.35159 Brezis, Haïm 12 2011 On a new class of functions related to VMO. Zbl 1223.46027 Brezis, Haïm; Nguyen, Hoai-Minh 11 2011 Periodic solutions of Lagrangian systems of relativistic oscillators. Zbl 1235.34130 Brezis, Haïm; Mawhin, Jean 10 2011 Periodic solutions of the forced relativistic pendulum. Zbl 1240.34207 Brézis, Haïm; Mawhin, Jean 43 2010 On a conjecture of J. Serrin. Zbl 1197.35079 Brezis, Haim 22 2008 Kato’s inequality up to the boundary. Zbl 1162.31005 Brezis, Haïm; Ponce, Augusto C. 21 2008 Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105 Brezis, Haïm; van Schaftingen, Jean 11 2008 Some remarks on Liouville type theorems. Zbl 1343.35049 Brezis, H.; Chipot, M.; Xie, Y. 6 2008 A remark on Ky Fan’s minimax principle. Zbl 1225.49014 Brézis, H.; Nirenberg, L.; Stampacchia, G. 5 2008 On some nonlinear equations with critical exponents. Zbl 1166.35021 Brezis, Haïm; Willem, Michel 3 2008 New estimates for elliptic equations and Hodge type systems. Zbl 1176.35061 Bourgain, Jean; Brezis, Haïm 84 2007 Nonlinear elliptic equations with measures revisited. Zbl 1151.35034 Brezis, H.; Marcus, M.; Ponce, A. C. 61 2007 Boundary estimates for elliptic systems with \(L^{1}\)- data. Zbl 1149.35025 Brezis, Haïm; Van Schaftingen, Jean 26 2007 Elliptic equations with critical exponent on spherical caps of \(S^{3}\). Zbl 1151.35035 Brezis, H.; Peletier, L. A. 32 2006 Some nonlinear elliptic equations have only constant solutions. Zbl 1174.35368 Brezis, Haïm; Li, YanYan 28 2006 New questions related to the topological degree. Zbl 1109.58017 Brezis, Haïm 19 2006 On a semilinear elliptic equation with inverse-square potential. Zbl 1161.35383 Brezis, Haïm; Dupaigne, Louis; Tesei, Alberto 50 2005 Lifting, degree, and distributional Jacobian revisited. Zbl 1077.46023 Bourgain, Jean; Brezis, Haïm; Mironescu, Petru 40 2005 \(W^{1,1}\)-maps with values into \(S^1\). Zbl 1078.46020 Brezis, Haïm; Mironescu, Petru; Ponce, Augusto C. 27 2005 A new estimate for the topological degree. Zbl 1071.55002 Bourgain, Jean; Brezis, Haïm; Nguyen, Hoai-Minh 16 2005 Reduced measures for obstacle problems. Zbl 1208.35071 Brezis, Haïm; Ponce, Augusto C. 15 2005 Reduced measures on the boundary. Zbl 1081.31007 Brezis, Haım; Ponce, Augusto C. 12 2005 \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation. Zbl 1051.49030 Bourgain, Jean; Brezis, Haim; Mironescu, Petru 79 2004 New estimates for the Laplacian, the div-curl, and related Hodge systems. Zbl 1101.35013 Bourgain, Jean; Brezis, Haïm 54 2004 Kato’s inequality when \(\Delta u\) is a measure. Zbl 1101.35028 Brezis, Haïm; Ponce, Augusto C. 36 2004 Elliptic equations with critical exponent on \(S^3\): new non-minimising solutions. Zbl 1081.35028 Brezis, Haïm; Peletier, Lambertus A. 11 2004 A new concept of reduced measure for nonlinear elliptic equations. Zbl 1101.35029 Brezis, Haïm; Marcus, Moshe; Ponce, Augusto C. 11 2004 Nonlinear evolution equations and related topics. Dedicated to Philippe Bénilan. Reprinted from Journal of Evolution Equations 3, No. 1-4 (2003) and 4, No. 2. (2004). Zbl 1048.35003 1 2004 On the equation \(\operatorname{div}Y=f\) and application to control of phases. Zbl 1075.35006 Bourgain, Jean; Brezis, Haïm 122 2003 Nonlinear problems related to the Thomas-Fermi equation. Zbl 1150.35406 Bénilan, Philippe; Brezis, Haïm 82 2003 Some remarks on a class of elliptic equations with degenerate coercivity. Zbl 1178.35183 Boccardo, Lucio; Brezis, Haïm 48 2003 Remarks on the strong maximum principle. Zbl 1065.35082 Brezis, Haïm; Ponce, Augusto C. 27 2003 The interplay between analysis and topology in some nonlinear PDE problems. Zbl 1161.35354 Brezis, Haim 25 2003 Is there failure of the inverse function theorem? Zbl 1200.35144 Brezis, Haim 24 2003 The fascinating homotopy structure of Sobolev spaces. Zbl 1225.46024 Brezis, Haïm 2 2003 Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications. Zbl 1029.46030 Bourgain, Jean; Brezis, Haïm; Mironescu, Petru 161 2002 How to recognize constant functions. Connections with Sobolev spaces. Zbl 1072.46020 Brézis, Haïm 118 2002 On the equation \(\text{div }u=f\). (Sur l’équation \(\text{div }u=f\).) Zbl 0999.35020 Bourgain, Jean; Brezis, Haïm 24 2002 A variational formulation for the two-sided obstacle problem with measure data. Zbl 1146.35372 Brezis, Haïm; Serfaty, Sylvia 9 2002 Another look at Sobolev spaces. Zbl 1103.46310 Bourgain, Jean; Brezis, Haim; Mironescu, Petru 361 2001 Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces. Zbl 1023.46031 Brezis, Haïm; Mironescu, Petru 120 2001 Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions. Zbl 1077.35047 Bethuel, F.; Brezis, H.; Orlandi, G. 66 2001 Topology and Sobolev spaces. Zbl 1001.46019 Brezis, Haim; Li, Yanyan 29 2001 Composition in fractional Sobolev spaces. Zbl 1047.46023 Brezis, Haim; Mironescu, Petru 13 2001 On some questions of topology for \(S^1\)-valued fractional Sobolev spaces. Zbl 1027.46034 Brezis, H.; Mironescu, P. 9 2001 \(W^{1,p}\) estimates for solutions to the Ginzburg-Landau equation with boundary data in \(H^{1/2}\). Zbl 1080.35020 Bethuel, Fabrice; Bourgain, Jean; Brezis, Haïm; Orlandi, Giandomenico 7 2001 Lifting in Sobolev spaces. Zbl 0967.46026 Bourgain, Jean; Brézis, Haïm; Mironescu, Petru 91 2000 Extremal functions for Hardy’s inequality with weight. Zbl 0953.26006 Brézis, Haim; Marcus, Moshe; Shafrir, Itai 56 2000 On the structure of the Sobolev space \(H^{1/2}\) with values into the circle. Zbl 0970.35069 Bourgain, Jean; Brézis, Haïm; Mironescu, Petru 36 2000 Small energy solutions to the Ginzburg-Landau equation. Zbl 0969.35055 Bethuel, Fabrice; Brézis, Haïm; Orlandi, Giandomenico 11 2000 Initiation of subsonic detonation. Zbl 0989.35029 Brezis, H.; Kamin, S.; Sivashinsky, G. 5 2000 Topology and Sobolev spaces. Zbl 0972.46014 Brezis, Haïm; Li, YanYan 1 2000 Symmetry in nonlinear PDE’s. Zbl 0927.35038 Brézis, Haïm 21 1999 Degree and Sobolev spaces. Zbl 0956.46024 Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis 16 1999 Some remarks on a class of elliptic equations with degenerate coercivity. Zbl 0996.35024 Boccardo, L.; Brezis, H. 1 1999 Some simple nonlinear PDE’s without solutions. Zbl 0907.35048 Brézis, Haïm; Cabré, Xavier 135 1998 Partial differential equations in the 20th century. Zbl 0915.01011 Brézis, Haïm; Browder, Felix 43 1998 Blow-up solutions of some nonlinear elliptic problems. Zbl 0894.35038 Brézis, Haïm; Vázquez, Juan Luis 338 1997 Hardy’s inequalities revisited. Zbl 1011.46027 Brezis, Haïm; Marcus, Moshe 232 1997 Removable singularities for nonlinear elliptic equations. Zbl 0905.35027 Brézis, Haïm; Nirenberg, Louis 26 1997 Degree theory: Old and new. Zbl 0884.47038 Brézis, Haïm 6 1997 A nonlinear heat equation with singular initial data. Zbl 0868.35058 Brézis, Haïm; Cazenave, Thierry 146 1996 Blow up for \(u_ t- \Delta u=g(u)\) revisited. Zbl 0855.35063 Brézis, Haim; Cazenave, Thierry; Martel, Yvan; Ramiandrisoa, Arthur 136 1996 Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017 Brézis, Haïm; Nirenberg, Louis 56 1996 Nonlinear elliptic equations on Riemannian manifolds with the Sobolev critical exponent. Zbl 0863.35037 Bahri, A.; Brézis, Haïm 33 1996 Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010 Brézis, Haïm; Nirenberg, Louis 167 1995 Asymptotic analysis of the Poisson equation coupled with Boltzmann’s relation. Quasi-neutrality for plasmas. (Analyse asymptotique de l’équation de Poisson couplée à la relation de Boltzmann. Quasi-neutralité des plasmas.) Zbl 0839.76096 Brézis, Haïm; Golse, François; Sentis, Rémi 27 1995 ...and 185 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 13,130 Authors 165 Papageorgiou, Nikolaos S. 119 Rădulescu, Vicenţiu D. 102 Brézis, Haïm 82 Tang, Chun-Lei 77 Díaz Díaz, Jesús Ildefonso 73 Boccardo, Lucio 67 Barbu, Viorel 67 Zou, Wenming 66 Miyagaki, Olimpio Hiroshi 64 Colli, Pierluigi 63 Alves, Claudianor Oliveira 62 Wei, Juncheng 61 Vazquez, Juan Luis 61 Véron, Laurent 56 Van Schaftingen, Jean 56 Wu, Tsungfang 55 Tang, Xianhua 52 Figueiredo, Giovany Malcher 49 Motreanu, Dumitru 48 Chen, Haibo 45 Peral Alonso, Ireneo 45 Repovš, Dušan D. 44 Mironescu, Petru 44 Reich, Simeon 44 Squassina, Marco 44 Sreenadh, Konijeti 43 Zhang, Binlin 42 Lin, Chang-Shou 41 Ambrosio, Vincenzo 41 Peng, Shuangjie 40 Do Ó, João M. Bezerra 40 Gilardi, Gianni 40 Pucci, Patrizia 39 Molica Bisci, Giovanni 38 Deng, Yinbin 38 Gasiński, Leszek 38 Nguyen, Hoai-Minh 38 Valdinoci, Enrico 38 Yang, Minbo 37 Attouch, Hedy 37 Ponce, Augusto C. 37 Zeng, Shengda 36 Chen, Huyuan 36 Lions, Pierre-Louis 36 Mazón Ruiz, José M. 36 Sofonea, Mircea 35 Bartolucci, Daniele 35 Liao, Jiafeng 35 Yao, Jen-Chih 34 Orsina, Luigi 34 Savaré, Giuseppe 33 Chentouf, Boumediène 33 Lu, Guozhen 33 Noor, Muhammad Aslam 33 Pistoia, Angela 32 Abdellaoui, Boumediene 32 Cao, Daomin 32 Haraux, Alain 32 Ôtani, Mitsuharu 32 Ruf, Bernhard 31 Del Pino, Manuel A. 31 Peletier, Lambertus Adrianus 31 Rossi, Julio Daniel 31 Sprekels, Jürgen 31 Ubilla, Pedro 31 Yang, Jianfu 30 Akagi, Goro 30 Fan, Jishan 30 Giacomoni, Jacques 30 Ignat, Radu 30 Moroșanu, Gheorghe 30 Serfaty, Sylvia 30 Stefanelli, Ulisse 29 Adly, Samir 29 Furtado, Marcelo Fernandes 29 Kenmochi, Nobuyuki 29 Khatibzadeh, Hadi 29 Lam, Nguyen 29 Musso, Monica 29 Schimperna, Giulio 28 Bauschke, Heinz H. 28 Dolbeault, Jean 28 Yan, Shusen 27 Cianchi, Andrea 27 Fiscella, Alessio 27 Liang, Sihua 27 Nochetto, Ricardo Horacio 27 Rocca, Elisabetta 27 Röckner, Michael 27 Wang, Zhi-Qiang 26 Alama, Stan 26 Ambrosio, Luigi 26 Djafari Rouhani, Behzad 26 Frank, Rupert L. 26 Abreu Goncalves, Jose Valdo 26 Grossi, Massimo 26 Li, YanYan 26 da Silva Montenegro, Marcelo 26 Rossi, Riccarda 26 Su, Jiabao ...and 13,030 more Authors all top 5 Cited in 747 Serials 1,156 Journal of Mathematical Analysis and Applications 1,012 Nonlinear Analysis. 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Serie II 38 Rendiconti del Seminario Matematico della Università di Padova 38 Applied Numerical Mathematics 38 Communications in Nonlinear Science and Numerical Simulation 38 Journal of Function Spaces 37 Journal of Convex Analysis ...and 647 more Serials all top 5 Cited in 60 Fields 12,419 Partial differential equations (35-XX) 2,624 Operator theory (47-XX) 2,474 Calculus of variations and optimal control; optimization (49-XX) 1,476 Functional analysis (46-XX) 1,377 Fluid mechanics (76-XX) 1,339 Numerical analysis (65-XX) 1,330 Global analysis, analysis on manifolds (58-XX) 1,181 Ordinary differential equations (34-XX) 950 Mechanics of deformable solids (74-XX) 777 Real functions (26-XX) 526 Systems theory; control (93-XX) 525 Differential geometry (53-XX) 524 Operations research, mathematical programming (90-XX) 515 Probability theory and stochastic processes (60-XX) 508 Statistical mechanics, structure of matter (82-XX) 489 Biology and other natural sciences (92-XX) 452 Dynamical systems and ergodic theory (37-XX) 385 Integral equations (45-XX) 306 Quantum theory (81-XX) 264 Harmonic analysis on Euclidean spaces (42-XX) 223 Classical thermodynamics, heat transfer (80-XX) 177 Optics, electromagnetic theory (78-XX) 173 Potential theory (31-XX) 163 Measure and integration (28-XX) 158 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 121 Difference and functional equations (39-XX) 121 Mechanics of particles and systems (70-XX) 111 Functions of a complex variable (30-XX) 108 General topology (54-XX) 97 Computer science (68-XX) 95 Approximations and expansions (41-XX) 87 Information and communication theory, circuits (94-XX) 72 Geophysics (86-XX) 71 Convex and discrete geometry (52-XX) 58 Several complex variables and analytic spaces (32-XX) 54 Statistics (62-XX) 52 Algebraic topology (55-XX) 50 Abstract harmonic analysis (43-XX) 42 Topological groups, Lie groups (22-XX) 34 Combinatorics (05-XX) 32 Manifolds and cell complexes (57-XX) 28 Mathematical logic and foundations (03-XX) 28 Special functions (33-XX) 28 Relativity and gravitational theory (83-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 22 History and biography (01-XX) 18 General and overarching topics; collections (00-XX) 17 Integral transforms, operational calculus (44-XX) 14 Astronomy and astrophysics (85-XX) 13 Number theory (11-XX) 9 Nonassociative rings and algebras (17-XX) 9 Geometry (51-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Sequences, series, summability (40-XX) 6 Algebraic geometry (14-XX) 6 Group theory and generalizations (20-XX) 4 Category theory; homological algebra (18-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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