Edit Profile Nirenberg, Louis Compute Distance To: Compute Author ID: nirenberg.louis Published as: Nirenberg, Louis; Nirenberg, L. Homepage: https://www.math.nyu.edu/faculty/nirenl/ External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: Chern Medal (2010) · Abel Prize (2015) Documents Indexed: 193 Publications since 1953, including 14 Books Biographic References: 20 Publications all top 5 Co-Authors 76 single-authored 21 Berestycki, Henri 18 Caffarelli, Luis Ángel 17 Brézis, Haïm 12 Li, YanYan 11 Spruck, Joel 10 Trèves, François 8 Kohn, Joseph J. 7 Kinderlehrer, David 6 Agmon, Shmuel 4 Douglis, Avron 4 Lax, Peter David 4 Varadhan, S. R. Srinivasa 3 Capuzzo Dolcetta, Italo 2 Atiyah, Michael Francis 2 Bers, Lipman 2 Bertsch, Michiel 2 Browder, Felix Earl 2 Ekeland, Ivar 2 Gidas, Basilis 2 Kohn, Robert Vita 2 Kuhn, Harold William 2 Ni, Wei-Ming 2 Peletier, Lambertus Adrianus 2 Sarnak, Peter Clive 2 Spencer, Donald Clayton 2 Stampacchia, Guido 2 Véron, Laurent 2 Weisfeld, Morris 1 Ahlfors, Lars Valerian 1 Anastasio, Sal 1 Beals, Richard W. 1 Bojarski, Bogdan 1 Bombieri, Enrico 1 Bona, Jerry Lloyd 1 Cenkl, Bohous 1 Chang, Sun-Yung Alice 1 Chanillo, Sagun 1 Chern, Shiing-Shen 1 Ching, Wai-Mee 1 Cohen, Amy 1 Córdoba Barba, Antonio Juan 1 Cordoba, Diego 1 Coron, Jean-Michel 1 Cushman, Richard H. 1 Douglas, Ronald George 1 Fisher, Joseph A. 1 Foiaş, Ciprian Ilie 1 Friedlander, Susan Jean 1 Fröhlich, Jürg Martin 1 Garabedian, Paul Roesel 1 Goldschmidt, Hubert Leopold 1 Graham, C. Robin 1 Griffiths, Phillip Augustus 1 Guillemin, Victor W. 1 Hartman, Philip 1 Heckman, Gert 1 John, Fritz 1 Karlin, Samuel 1 Klartag, Bo’az 1 Kodaira, Kunihiko 1 Kolk, Johan A. C. 1 Kra, Irwin 1 Lebowitz, Joel Louis 1 Levine, Harold I. 1 Loewner, Charles 1 Martio, Olli 1 Maskit, Bernard 1 Mastrian, Barbara 1 Mather, John N. 1 Mawhin, Jean L. 1 McKean, Henry P. jun. 1 Mironescu, Petru 1 Morrey, Charles Bradfield jun. 1 Newlander, A. 1 Nguyen Minh Chuong 1 Nussbaum, Roger David 1 Pelayo, Alvaro 1 Porta, Horacio A. 1 Protter, Murray H. 1 Rabinowitz, Paul Henry 1 Roberts, Fred S. 1 Seco, Luis Angel 1 Seregin, Gregory A. 1 Sharir, Micha 1 Sjamaar, Reyer 1 Sjöstrand, Johannes 1 Stein, Elias Menachem 1 Synge Morawetz, Cathleen 1 Tao, Terence 1 Teman, Roger 1 Tutschke, Wolfgang 1 Ural’tseva, Nina Nikolaevna 1 Van den Ban, Erik Peter 1 Vishik, Marko Iosifovich 1 Vũ Ngọc, San 1 Walker, Homer F. 1 Webster, Sidney M. 1 Weinstein, Alan David 1 Wigler, Michael 1 Willig, Paul M. ...and 1 more Co-Authors all top 5 Serials 43 Communications on Pure and Applied Mathematics 7 Notices of the American Mathematical Society 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Duke Mathematical Journal 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 2 Methods and Applications of Analysis 2 Annals of Mathematics. Second Series 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Journal of Geometry and Physics 1 Acta Mathematica 1 American Journal of Mathematics 1 Compositio Mathematica 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 Journal of Differential Geometry 1 Journal of the Faculty of Science. Section I A 1 Le Matematiche 1 Mathematische Annalen 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 CWI Quarterly 1 Bulletin of the American Mathematical Society. New Series 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Milan Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Series IV 1 Annals of Mathematics Studies 1 Contemporary Mathematics 1 Regional Conference Series in Mathematics 1 Courant Lecture Notes in Mathematics 1 Journal of Fixed Point Theory and Applications 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 CTM. Classical Topics in Mathematics all top 5 Fields 105 Partial differential equations (35-XX) 25 Operator theory (47-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 History and biography (01-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Differential geometry (53-XX) 8 General and overarching topics; collections (00-XX) 6 Functional analysis (46-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Algebraic topology (55-XX) 4 Fluid mechanics (76-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 145 Publications have been cited 14,458 times in 11,863 Documents Cited by ▼ Year ▼ Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029Brézis, Haïm; Nirenberg, Louis 1,267 1983 Symmetry and related properties via the maximum principle. Zbl 0425.35020Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 1,231 1979 Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Zbl 0093.10401Agmon, S.; Douglis, A.; Nirenberg, Louis 1,210 1959 Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II. Zbl 0123.28706Agmon, S.; Douglis, A.; Nirenberg, Louis 671 1964 On elliptic partial differential equations. Zbl 0088.07601Nirenberg, Louis 666 1959 On functions of bounded mean oscillation. Zbl 0102.04302John, Fritz; Nirenberg, Louis 651 1961 Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067Caffarelli, L.; Kohn, R.; Nirenberg, Louis 562 1982 First order interpolation inequalities with weights. Zbl 0563.46024Caffarelli, L.; Kohn, R.; Nirenberg, Louis 471 1984 The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian. Zbl 0654.35031Caffarelli, L.; Nirenberg, L.; Spruck, J. 328 1985 On the method of moving planes and the sliding method. Zbl 0784.35025Berestycki, H.; Nirenberg, L. 307 1991 The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S. 282 1994 Topics in nonlinear functional analysis. Notes by R. A. Artino. Zbl 0286.47037Nirenberg, Louis 249 1974 The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047Caffarelli, L.; Nirenberg, Louis; Spruck, J. 236 1984 Complex analytic coordinates in almost complex manifolds. Zbl 0079.16102Newlander, A.; Nirenberg, Louis 236 1957 Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 215 1981 Non-coercive boundary value problems. Zbl 0125.33302Kohn, J. J.; Nirenberg, Louis 197 1965 Remarks on finding critical points. Zbl 0751.58006Brézis, Haïm; Nirenberg, Louis 194 1991 Remarks on strongly elliptic partial differential equations. Zbl 0067.07602Nirenberg, Louis 190 1955 An algebra of pseudo-differential operators. Zbl 0171.35101Kohn, J. J.; Nirenberg, Louis 182 1965 Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035Brézis, Haïm; Nirenberg, Louis 176 1978 Properties of solutions of ordinary differential equations in Banach space. Zbl 0117.10001Agmon, S.; Nirenberg, Louis 173 1963 Interior estimates for elliptic systems of partial differential equations. Zbl 0066.08002Douglis, Avron; Nirenberg, Louis 163 1955 The Weyl and Minkowski problems in differential geometry in the large. Zbl 0051.12402Nirenberg, Louis 159 1953 Travelling fronts in cylinders. Zbl 0799.35073Berestycki, Henri; Nirenberg, Louis 153 1992 H\(^ 1\) versus C\(^ 1\) local minimizers. Zbl 0803.35029Brézis, Haïm; Nirenberg, Louis 149 1993 An extended interpolation inequality. Zbl 0163.29905Nirenberg, Louis 146 1966 Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023Nirenberg, Louis 130 2001 Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010Brézis, Haïm; Nirenberg, Louis 124 1995 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 122 1994 A remark on Ky Fan’s minimax principle. Zbl 0264.49013Brézis, Haïm; Nirenberg, Louis; Stampacchia, Guido 121 1972 Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis 117 1997 The Dirichlet problem for nonlinear second-order elliptic equations. II: Complex Monge-Ampère, and uniformly elliptic, equations. Zbl 0598.35048Caffarelli, L.; Kohn, J. J.; Nirenberg, Louis; Spruck, J. 116 1985 On spherical image maps whose Jacobians do not change sign. Zbl 0094.16303Hartman, Philip; Nirenberg, Louis 112 1959 Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 111 1997 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 109 1995 Estimates for elliptic systems from composite material. Zbl 1125.35339Li, YanYan; Nirenberg, Louis 109 2003 Degenerate elliptic-parabolic equations of second order. Zbl 0153.14503Kohn, J. J.; Nirenberg, Louis 106 1967 Regularity in free boundary problems. Zbl 0352.35023Kinderlehrer, D.; Nirenberg, Louis 105 1977 An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001Nirenberg, Louis 102 1972 Lectures on linear partial differential equations. Zbl 0267.35001Nirenberg, Louis 102 1973 Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis 98 1980 On the analycity of the solutions of linear elliptic systems of partial differential equations. Zbl 0082.09402Morrey, C. B. jun.; Nirenberg, Louis 97 1957 On nonlinear elliptic partial differential equations and Hölder continuity. Zbl 0050.09801Nirenberg, Louis 91 1953 Forced vibrations for a nonlinear wave equation. Zbl 0378.35040Brézis, Haïm; Nirenberg, Louis 84 1978 A strong maximum principle for parabolic equations. Zbl 0050.09601Nirenberg, Louis 84 1953 The null spaces of elliptic partial differential operators in R\(^n\). Zbl 0272.35029Nirenberg, Louis; Walker, Homer F. 82 1973 Variational and topological methods in nonlinear problems. Zbl 0468.47040Nirenberg, Louis 81 1981 Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 78 1996 Solvability of a first order linear partial differential equation. Zbl 0117.06104Nirenberg, Louis; Trèves, François 74 1963 Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018Loewner, Charles; Nirenberg, Louis 67 1974 Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel 67 1988 A pseudo-convex domain not admitting a holomorphic support function. Zbl 0248.32013Kohn, J. J.; Nirenberg, Louis 58 1973 Regularity in elliptic free boundary problems. I. Zbl 0402.35045Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 55 1978 Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031Berestycki, H.; Nirenberg, L. 54 1988 Uniform estimates for regularization of free boundary problems. Zbl 0702.35252Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 52 1990 The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083Li, Yanyan; Nirenberg, Louis 52 1998 The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations. Zbl 1062.49021Li, YanYan; Nirenberg, Louis 52 2005 Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space. Zbl 0147.34603Agmon, S.; Nirenberg, Louis 50 1967 On local solvability of linear partial differential equations. I: Necessary conditions. Zbl 0191.39103Nirenberg, Louis; Trèves, François 49 1970 Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004Berestycki, H.; Nirenberg, L. 48 1990 On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801Lax, Peter D.; Nirenberg, Louis 48 1966 Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017Brézis, Haïm; Nirenberg, Louis 45 1996 A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptic-hyperbolic type. Zbl 0090.07401Agmon, S.; Nirenberg, Louis; Protter, M. H. 45 1953 Intrinsic norms on a complex manifold. Zbl 0202.11603Chern, S. S.; Levine, H. I.; Nirenberg, Louis 43 1969 On local solvability of linear partial differential equations. Part II: Sufficient conditions. Zbl 0208.35902Nirenberg, Louis; Trèves, François 43 1970 On the existence of deformations of complex analytic structures. Zbl 0088.38004Kodaira, Kunihiko; Nirenberg, Louis; Spencer, D. C. 41 1958 Symmetry for elliptic equations in a half space. Zbl 0793.35034Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 40 1993 Uniqueness in Cauchy problems for differential equations with constant leading coefficients. Zbl 0077.09402Nirenberg, Louis 39 1957 Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027Caffarelli, L.; Nirenberg, L.; Spruck, J. 38 1986 Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Übersetzung aus dem Englischen von L. R. Volevich. Unter Redaktion von M. I. Vishik. Zbl 0104.32305Agmon, S.; Douglis, A.; Nirenberg, Louis 35 1962 Local boundary regularity of holomorphic mappings. Zbl 0436.32018Nirenberg, Louis; Webster, S.; Yang, P. 32 1980 Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis 31 2013 On a theorem of P. Nowosad. Zbl 0165.45802Karlin, S.; Nirenberg, Louis 28 1967 Estimates and existence of solutions of elliptic equations. Zbl 0070.32301Nirenberg, Louis 28 1956 A minimization problem with critical exponent and nonzero data. Zbl 0763.46023Brézis, Haïm; Nirenberg, Louis 27 1989 Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis 27 2009 The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060Kinderlehrer, David; Nirenberg, Louis 26 1978 Topics in nonlinear functional analysis. (Lektsii po nelinejnomu funktsional’nomu analizu). Transl. from the English by N. D. Vvedenskaya. Zbl 0426.47034Nirenberg, Louis 26 1977 The Dirichlet problem for the degenerate Monge-Ampère equation. Zbl 0611.35029Caffarelli, L.; Nirenberg, L.; Spruck, J. 23 1987 Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045Kinderlehrer, David; Nirenberg, Louis 21 1978 On a question of Hans Lewy. Zbl 0305.35017Nirenberg, Louis 21 1974 Removable singularities for nonlinear elliptic equations. Zbl 0905.35027Brézis, Haïm; Nirenberg, Louis 20 1997 On a generalization of quasi-conformal mappings and its application to elliptic partial differential equations. Zbl 0057.08604Nirenberg, Louis 19 1954 On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications. Zbl 0067.32503Bers, Lipman; Nirenberg, Louis 18 1955 A correction to: On local solvability of linear partial differential equations. II: Sufficient conditions. Zbl 0221.35019Nirenberg, Louis; Treves, J. F. 18 1971 Some remarks on singular solutions of nonlinear elliptic equations. II: Symmetry and monotonicity via moving planes. Zbl 1325.35044Caffarelli, Luis; Li, YanYan; Nirenberg, Louis 15 2012 Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 14 1993 Variational methods in nonlinear problems. Zbl 0980.58005Nirenberg, L. 14 2000 Degree and Sobolev spaces. Zbl 0956.46024Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis 14 1999 A proof of the Malgrange preparation theorem. Zbl 0212.10702Nirenberg, Louis 13 1971 A complex Frobenius theorem. Zbl 0099.37502Nirenberg, Louis 12 1958 On linear and non-linear elliptic boundary value problems in the plane. Zbl 0067.32504Bers, Lipman; Nirenberg, Louis 10 1955 Comments on nonlinear problems (with an appendix by Lin Changshou). Zbl 0544.58005Nirenberg, Louis 8 1981 Pseudo-differential operators. Zbl 0218.35075Nirenberg, Louis 8 1970 On a form of Bernstein’s theorem. Zbl 0668.35028Caffarelli, L.; Nirenberg, L.; Spruck, J. 8 1988 Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 7 1979 Asymptotic behaviour via the Harnack inequality. Zbl 0840.35011Berestycki, H.; Nirenberg, L. 7 1991 Uniqueness in the Cauchy problem for a degenerate elliptic second order equation. Zbl 0572.35043Nirenberg, Louis 6 1985 On fully nonlinear elliptic equations of second order. Zbl 0778.35035Nirenberg, L. 6 1989 Travelling front solutions of semilinear equations in \(n\) dimensions. Zbl 0780.35054Berestycki, H.; Nirenberg, L. 6 1991 Felix Browder (1927–2016). Zbl 1406.35004Brezis, 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 Lipman Bers and partial differential equations. Zbl 1361.35006Nirenberg, Louis 1 2015 Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis 31 2013 Some remarks on singular solutions of nonlinear elliptic equations. II: Symmetry and monotonicity via moving planes. Zbl 1325.35044Caffarelli, Luis; Li, YanYan; Nirenberg, Louis 15 2012 The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 1316.35217Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S. 3 2012 On singular solutions of nonlinear elliptic and parabolic equations. Zbl 1226.35028Nirenberg, Louis 2 2011 Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067Guillemin, Victor; Pelayo, Álvaro; Vũ Ngọc, San; Weinstein, Alan; Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes 1 2011 Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis 27 2009 Partial results on extending the Hopf Lemma. Zbl 1196.35062Li, Yan Yan; Nirenberg, Louis 2 2009 A remark on Ky Fan’s minimax principle. Zbl 1225.49014Brézis, H.; Nirenberg, L.; Stampacchia, G. 2 2008 Perspectives in nonlinear partial differential equations in honor of Haïm Brezis. Based on the conference celebration of Haïm Brezis’ 60th birthday, June 21–25, 2004. Zbl 1126.00013Berestycki, Henri; Bertsch, Michiel; Browder, Felix E.; Nirenberg, Louis; Peletier, Lambertus A.; Véron, Laurent 1 2007 A geometric problem and the Hopf lemma. II. Zbl 1149.53302Li, YanYan; Nirenberg, Louis 5 2006 A geometric problem and the Hopf lemma. I. Zbl 1113.53003Li, YanYan; Nirenberg, Louis 4 2006 Generalization of a well-known inequality. Zbl 1284.26021Li, YanYan; Nirenberg, Louis 3 2006 The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations. Zbl 1062.49021Li, YanYan; Nirenberg, Louis 52 2005 The distance function to the boundary and singular set of viscosity solutions of Hamilton-Jacobi equation. Zbl 1387.35106Nirenberg, L. 1 2005 Regularity in an unusual variational problem. Zbl 1113.49041Ekeland, Ivar; Nirenberg, Louis 1 2005 Abstract and applied analysis. Proceedings of the international conference, Hanoi, Vietnam, August 13–17, 2002. Zbl 1058.00011Nguyen Minh Chuong; Nirenberg, L.; Tutschke, W. 2 2004 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark 1 2004 Estimates for elliptic systems from composite material. Zbl 1125.35339Li, YanYan; Nirenberg, Louis 109 2003 A convex Darboux theorem. Zbl 1082.58501Ekeland, Ivar; Nirenberg, Louis 5 2002 Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023Nirenberg, Louis 130 2001 Variational methods in nonlinear problems. Zbl 0980.58005Nirenberg, L. 14 2000 Degree and Sobolev spaces. Zbl 0956.46024Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis 14 1999 The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083Li, Yanyan; Nirenberg, Louis 52 1998 Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis 117 1997 Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 111 1997 Removable singularities for nonlinear elliptic equations. Zbl 0905.35027Brézis, Haïm; Nirenberg, Louis 20 1997 Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 78 1996 Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017Brézis, Haïm; Nirenberg, Louis 45 1996 Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010Brézis, Haïm; Nirenberg, Louis 124 1995 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 109 1995 The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S. 282 1994 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 122 1994 Partial differential equations in the first half of the century. Zbl 0807.01017Nirenberg, Louis 3 1994 H\(^ 1\) versus C\(^ 1\) local minimizers. Zbl 0803.35029Brézis, Haïm; Nirenberg, Louis 149 1993 Symmetry for elliptic equations in a half space. Zbl 0793.35034Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 40 1993 Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 14 1993 The ground state and maximum principle for second order elliptic operators in general domains. (État fondamental et principe du maximum pour les opérateurs elliptiques du second ordre dans des domaines généraux.) Zbl 0798.35038Berestycki, Henri; Nirenberg, Louis; Varadhan, Srinivasa 1 1993 Travelling fronts in cylinders. Zbl 0799.35073Berestycki, Henri; Nirenberg, Louis 153 1992 On the maximum principle. Videotape. Zbl 0790.35001Nirenberg, Louis 1 1992 On the method of moving planes and the sliding method. Zbl 0784.35025Berestycki, H.; Nirenberg, L. 307 1991 Remarks on finding critical points. Zbl 0751.58006Brézis, Haïm; Nirenberg, Louis 194 1991 Asymptotic behaviour via the Harnack inequality. Zbl 0840.35011Berestycki, H.; Nirenberg, L. 7 1991 Travelling front solutions of semilinear equations in \(n\) dimensions. Zbl 0780.35054Berestycki, H.; Nirenberg, L. 6 1991 Uniform estimates for regularization of free boundary problems. Zbl 0702.35252Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 52 1990 Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004Berestycki, H.; Nirenberg, L. 48 1990 A minimization problem with critical exponent and nonzero data. Zbl 0763.46023Brézis, Haïm; Nirenberg, Louis 27 1989 On fully nonlinear elliptic equations of second order. Zbl 0778.35035Nirenberg, L. 6 1989 Variational methods in nonlinear problems. Zbl 0679.58021Nirenberg, L. 4 1989 Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel 67 1988 Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031Berestycki, H.; Nirenberg, L. 54 1988 On a form of Bernstein’s theorem. Zbl 0668.35028Caffarelli, L.; Nirenberg, L.; Spruck, J. 8 1988 Fully nonlinear elliptic equations. Zbl 0685.35045Nirenberg, L. 1 1988 The Dirichlet problem for the degenerate Monge-Ampère equation. Zbl 0611.35029Caffarelli, L.; Nirenberg, L.; Spruck, J. 23 1987 Correction to: The Dirichlet problem for nonlinear second-order elliptic equations. I. Monge-Ampère equation. Zbl 0641.35025Caffarelli, L.; Nirenberg, L.; Spruck, J. 6 1987 Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027Caffarelli, L.; Nirenberg, L.; Spruck, J. 38 1986 The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian. Zbl 0654.35031Caffarelli, L.; Nirenberg, L.; Spruck, J. 328 1985 The Dirichlet problem for nonlinear second-order elliptic equations. II: Complex Monge-Ampère, and uniformly elliptic, equations. Zbl 0598.35048Caffarelli, L.; Kohn, J. J.; Nirenberg, Louis; Spruck, J. 116 1985 Uniqueness in the Cauchy problem for a degenerate elliptic second order equation. Zbl 0572.35043Nirenberg, Louis 6 1985 First order interpolation inequalities with weights. Zbl 0563.46024Caffarelli, L.; Kohn, R.; Nirenberg, Louis 471 1984 The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047Caffarelli, L.; Nirenberg, Louis; Spruck, J. 236 1984 Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029Brézis, Haïm; Nirenberg, Louis 1,267 1983 Variational and topological methods in nonlinear problems. Zbl 0524.47041Nirenberg, Louis 2 1983 Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067Caffarelli, L.; Kohn, R.; Nirenberg, Louis 562 1982 Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 215 1981 Variational and topological methods in nonlinear problems. Zbl 0468.47040Nirenberg, Louis 81 1981 Comments on nonlinear problems (with an appendix by Lin Changshou). Zbl 0544.58005Nirenberg, Louis 8 1981 Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis 98 1980 Local boundary regularity of holomorphic mappings. Zbl 0436.32018Nirenberg, Louis; Webster, S.; Yang, P. 32 1980 Symmetry and related properties via the maximum principle. Zbl 0425.35020Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 1,231 1979 Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 7 1979 Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035Brézis, Haïm; Nirenberg, Louis 176 1978 Forced vibrations for a nonlinear wave equation. Zbl 0378.35040Brézis, Haïm; Nirenberg, Louis 84 1978 Regularity in elliptic free boundary problems. I. Zbl 0402.35045Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 55 1978 The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060Kinderlehrer, David; Nirenberg, Louis 26 1978 Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045Kinderlehrer, David; Nirenberg, Louis 21 1978 Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel 4 1978 Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090Kinderlehrer, David; Nirenberg, Louis 3 1978 Regularity in free boundary problems. Zbl 0352.35023Kinderlehrer, D.; Nirenberg, Louis 105 1977 Topics in nonlinear functional analysis. (Lektsii po nelinejnomu funktsional’nomu analizu). Transl. from the English by N. D. Vvedenskaya. Zbl 0426.47034Nirenberg, Louis 26 1977 Some first order nonlinear equations on torus. Zbl 0335.35028Brézis, Haïm; Nirenberg, Louis 3 1977 Image d’une somme d’opérateurs non linéaires et applications. Zbl 0359.47035Brézis, Haïm; Nirenberg, Louis 3 1977 Regularity of free boundaries. Zbl 0361.35012Nirenberg, Louis 1 1977 Nonlinear differential equations invariant under certain geometric transformations. Zbl 0357.35034Nirenberg, Louis 2 1976 Propagation of singularities for linear partial differential equtions and reflections at a boundary. Zbl 0335.35081Nirenberg, Louis 1 1976 Monge-Ampère equations and some associated problems in geometry. Zbl 0335.35045Nirenberg, Louis 5 1975 Topics in nonlinear functional analysis. Notes by R. A. Artino. Zbl 0286.47037Nirenberg, Louis 249 1974 Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018Loewner, Charles; Nirenberg, Louis 67 1974 On a question of Hans Lewy. Zbl 0305.35017Nirenberg, Louis 21 1974 Contributions to analysis. A collection of papers dedicated to Lipman Bers. Zbl 0283.00007Ahlfors, Lars V.; Kra, Irwin; Maskit, Bernard; Nirenberg, Louis 1 1974 Lectures on linear partial differential equations. Zbl 0267.35001Nirenberg, Louis 102 1973 The null spaces of elliptic partial differential operators in R\(^n\). Zbl 0272.35029Nirenberg, Louis; Walker, Homer F. 82 1973 A pseudo-convex domain not admitting a holomorphic support function. Zbl 0248.32013Kohn, J. J.; Nirenberg, Louis 58 1973 A remark on Ky Fan’s minimax principle. Zbl 0264.49013Brézis, Haïm; Nirenberg, Louis; Stampacchia, Guido 121 1972 An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001Nirenberg, Louis 102 1972 A correction to: On local solvability of linear partial differential equations. II: Sufficient conditions. Zbl 0221.35019Nirenberg, Louis; Treves, J. F. 18 1971 A proof of the Malgrange preparation theorem. Zbl 0212.10702Nirenberg, Louis 13 1971 An application of generalized degree to a class of nonlinear problems. Zbl 0317.35036Nirenberg, Louis 5 1971 Generalized degree and nonlinear problems. Zbl 0267.47034Nirenberg, Louis 2 1971 ...and 45 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,596 Authors 59 Nazarov, Sergeĭ Aleksandrovich 53 Li, YanYan 52 Wei, Juncheng 49 Papageorgiou, Nikolaos S. 45 Berestycki, Henri 43 Brézis, Haïm 43 Miyagaki, Olimpio Hiroshi 41 Zou, Wenming 40 Rădulescu, Vicenţiu D. 39 Hamel, François 39 Schechter, Martin 37 Wang, Lihe 34 Yang, Dachun 33 Kang, Dongsheng 32 Dolbeault, Jean 32 Maz’ya, Vladimir Gilelevich 31 Pacella, Filomena 30 Byeon, Jaeyoung 29 Dancer, Edward Norman 29 Peral Alonso, Ireneo 28 Bao, Jiguang 28 Cao, Daomin 28 Korman, Philip L. 28 Lin, Chang-Shou 28 Nirenberg, Louis 28 Sciunzi, Berardino 28 Shivaji, Ratnasingham 27 Friedman, Avner 27 Li, Congming 27 Peng, Shuangjie 27 Wang, Zhi-Qiang 26 Guedes de Figueiredo, Djairo 26 García-Melián, Jorge 26 Li, Yi 25 Byun, Sun-Sig 25 Trudinger, Neil Sidney 25 Valdinoci, Enrico 24 Do Ó, João M. Bezerra 24 Dong, Hongjie 24 Grossi, Massimo 24 Han, Pigong 24 Ivochkina, Nina Mikhaĭlovna 24 López-Gómez, Julián 24 Ruf, Bernhard 24 Shakhmurov, Veli B. 24 Van Schaftingen, Jean 23 Caffarelli, Luis Ángel 23 Guo, Zongming 23 Niu, Pengcheng 23 Pistoia, Angela 23 Xiao, Jie 23 Yan, Shusen 22 Birindelli, Isabeau 22 Deng, Yinbin 22 Farina, Alberto 22 Mironescu, Petru 22 Ni, Wei-Ming 22 Sirakov, Boyan Slavchev 22 Trèves, François 22 Wang, Xu-Jia 21 Esteban, Maria J. 21 Lu, Guozhen 21 Quaas, Alexander 21 Seregin, Gregory A. 21 Weth, Tobias 20 Alves, Claudianor Oliveira 20 Du, Yihong 20 Li, Dongsheng 20 Musso, Monica 20 Peletier, Lambertus Adrianus 20 Tan, Zhong 19 Gazzola, Filippo 19 Li, Shujie 19 Li, Wan-Tong 19 Lions, Pierre-Louis 19 Mu, Chunlai 19 Ryazanov, Vladimir Il’ich 19 Shi, Junping 19 Wang, Yanqing 19 Willem, Michel 19 Yang, Jianfu 19 Zhong, Xin 18 Bonheure, Denis 18 Del Pino, Manuel A. 18 Kukavica, Igor 18 McKenna, Patrick Joseph 18 Montoro, Luigi 18 Nadirashvili, Nikolai S. 18 Suzuki, Takashi 18 Tang, Xianhua 18 Vitolo, Antonio 18 Wang, Mingxin 17 Capuzzo Dolcetta, Italo 17 Coville, Jerome 17 Ghoussoub, Nassif A. 17 Abreu Goncalves, Jose Valdo 17 Guan, Pengfei 17 Meziani, Abdelhamid 17 Motreanu, Dumitru 17 Ragusa, Maria Alessandra ...and 8,496 more Authors all top 5 Cited in 549 Serials 769 Journal of Differential Equations 668 Journal of Mathematical Analysis and Applications 552 Nonlinear Analysis. 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Quatrième Série 22 Archiv der Mathematik ...and 449 more Serials all top 5 Cited in 61 Fields 8,668 Partial differential equations (35-XX) 1,236 Fluid mechanics (76-XX) 1,032 Operator theory (47-XX) 1,026 Global analysis, analysis on manifolds (58-XX) 878 Differential geometry (53-XX) 731 Functional analysis (46-XX) 639 Calculus of variations and optimal control; optimization (49-XX) 557 Ordinary differential equations (34-XX) 539 Several complex variables and analytic spaces (32-XX) 434 Numerical analysis (65-XX) 396 Harmonic analysis on Euclidean spaces (42-XX) 393 Mechanics of deformable solids (74-XX) 322 Biology and other natural sciences (92-XX) 284 Real functions (26-XX) 233 Dynamical systems and ergodic theory (37-XX) 209 Potential theory (31-XX) 189 Functions of a complex variable (30-XX) 169 Integral equations (45-XX) 152 Statistical mechanics, structure of matter (82-XX) 130 Quantum theory (81-XX) 126 Probability theory and stochastic processes (60-XX) 109 Optics, electromagnetic theory (78-XX) 102 Classical thermodynamics, heat transfer (80-XX) 88 Convex and discrete geometry (52-XX) 83 Relativity and gravitational theory (83-XX) 77 Operations research, mathematical programming (90-XX) 72 Systems theory; control (93-XX) 64 Abstract harmonic analysis (43-XX) 60 Topological groups, Lie groups (22-XX) 59 Manifolds and cell complexes (57-XX) 49 Mechanics of particles and systems (70-XX) 46 Difference and functional equations (39-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Algebraic geometry (14-XX) 42 Measure and integration (28-XX) 42 Algebraic topology (55-XX) 38 Geophysics (86-XX) 35 Approximations and expansions (41-XX) 24 Astronomy and astrophysics (85-XX) 22 General topology (54-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 History and biography (01-XX) 18 Information and communication theory, circuits (94-XX) 17 Integral transforms, operational calculus (44-XX) 15 Geometry (51-XX) 14 Nonassociative rings and algebras (17-XX) 12 Computer science (68-XX) 11 General and overarching topics; collections (00-XX) 10 Statistics (62-XX) 8 Combinatorics (05-XX) 7 Number theory (11-XX) 7 Special functions (33-XX) 5 Associative rings and algebras (16-XX) 5 Group theory and generalizations (20-XX) 4 \(K\)-theory (19-XX) 3 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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