Edit Profile (opens in new tab) Nirenberg, Louis Compute Distance To: Compute Author ID: nirenberg.louis Published as: Nirenberg, Louis; Nirenberg, L. Further Spellings: Ниренберг Луис 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: 183 Publications since 1953, including 7 Books 11 Contributions as Editor · 6 Further Contributions Biographic References: 20 Publications Co-Authors: 99 Co-Authors with 120 Joint Publications 3,577 Co-Co-Authors all top 5 Co-Authors 74 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 5 Lax, Peter David 5 Varadhan, S. R. Srinivasa 4 Douglis, Avron 3 Atiyah, Michael Francis 3 Capuzzo Dolcetta, Italo 3 Kohn, Robert Vita 3 Raussen, Martin 3 Skau, Christian Fredrik 2 Bers, Lipman 2 Bertsch, Michiel 2 Browder, Felix Earl 2 Deligne, Pierre René 2 Ekeland, Ivar 2 Gidas, Basilis 2 Kuhn, Harold William 2 Mironescu, Petru 2 Nash, John Forbes jun. 2 Ni, Wei-Ming 2 Peletier, Lambertus Adrianus 2 Sarnak, Peter Clive 2 Sinaĭ, Yakov Grigor’evich 2 Spencer, Donald Clayton 2 Stampacchia, Guido 2 Véron, Laurent 2 Weisfeld, Morris 2 Wiles, Andrew John 1 Ahlfors, Lars Valerian 1 Anastasio, Sal 1 Artino, Ralph A. 1 Beals, Richard W. 1 Bojarski, Bogdan 1 Boldrighini, Carlo 1 Bombieri, Enrico 1 Bona, Jerry Lloyd 1 Bourguignon, Jean-Pierre 1 Bunimovich, Leonid Abramovich 1 Carleson, Lennart 1 Cellarosi, Francesco 1 Cenkl, Bohous 1 Chang, Sun-Yung Alice 1 Chanillo, Sagun 1 Cheng, Shiu-Yuen 1 Chern, Shiing-Shen 1 Ching, Wai-Mee 1 Cohen, Albert 1 Cohen, Amy 1 Córdoba Barba, Antonio Juan 1 Cordoba, Diego 1 Coron, Jean-Michel 1 Cushman, Richard H. 1 De Lellis, Camillo 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 Gromov, Mikhael Leonidovich 1 Guillemin, Victor W. 1 Gurevich, B. M. 1 Hartman, Philip 1 Heckman, Gert 1 Hitchin, Nigel James 1 Holden, Helge 1 Illusie, Luc 1 Inoue, Atsushi 1 John, Fritz 1 Karlin, Samuel 1 Kazdan, Jerry L. 1 Khanin, Konstantin M. 1 Klartag, Bo’az 1 Kodaira, Kunihiko 1 Koiso, Norihito 1 Kolk, Johan A. C. 1 Kotake, Takeshi 1 Kra, Irwin 1 Lebowitz, Joel Louis 1 Lemaire, Luc 1 Levine, Harold I. 1 Li, Dong 1 Lin, Chang-Shou 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. ...and 53 more Co-Authors all top 5 Serials 43 Communications on Pure and Applied Mathematics 8 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 European Mathematical Society Newsletter 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 CIME Summer Schools 1 Springer Collected Works in Mathematics 1 CTM. Classical Topics in Mathematics 1 The Abel Prize all top 5 Fields 107 Partial differential equations (35-XX) 25 Operator theory (47-XX) 22 History and biography (01-XX) 19 Global analysis, analysis on manifolds (58-XX) 12 Differential geometry (53-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 General and overarching topics; collections (00-XX) 6 Functional analysis (46-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 4 Algebraic topology (55-XX) 4 Fluid mechanics (76-XX) 3 Real functions (26-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 147 Publications have been cited 15,519 times in 12,664 Documents Cited by ▼ Year ▼ Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029Brézis, Haïm; Nirenberg, Louis 1,400 1983 Symmetry and related properties via the maximum principle. Zbl 0425.35020Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 1,319 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 1,272 1959 On elliptic partial differential equations. Zbl 0088.07601Nirenberg, Louis 745 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 710 1964 On functions of bounded mean oscillation. Zbl 0102.04302John, Fritz; Nirenberg, Louis 696 1961 Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067Caffarelli, L.; Kohn, R.; Nirenberg, Louis 610 1982 First order interpolation inequalities with weights. Zbl 0563.46024Caffarelli, L.; Kohn, R.; Nirenberg, Louis 503 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. 364 1985 On the method of moving planes and the sliding method. Zbl 0784.35025Berestycki, H.; Nirenberg, L. 329 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. 299 1994 Topics in nonlinear functional analysis. Notes by R. A. Artino. Zbl 0286.47037Nirenberg, Louis 255 1974 The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047Caffarelli, L.; Nirenberg, Louis; Spruck, J. 253 1984 Complex analytic coordinates in almost complex manifolds. Zbl 0079.16102Newlander, A.; Nirenberg, Louis 246 1957 Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 226 1981 Remarks on finding critical points. Zbl 0751.58006Brézis, Haïm; Nirenberg, Louis 207 1991 Non-coercive boundary value problems. Zbl 0125.33302Kohn, J. J.; Nirenberg, Louis 203 1965 An algebra of pseudo-differential operators. Zbl 0171.35101Kohn, J. J.; Nirenberg, Louis 195 1965 Remarks on strongly elliptic partial differential equations. Zbl 0067.07602Nirenberg, Louis 194 1955 Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035Brézis, Haïm; Nirenberg, Louis 180 1978 Properties of solutions of ordinary differential equations in Banach space. Zbl 0117.10001Agmon, S.; Nirenberg, Louis 176 1963 The Weyl and Minkowski problems in differential geometry in the large. Zbl 0051.12402Nirenberg, Louis 172 1953 Interior estimates for elliptic systems of partial differential equations. Zbl 0066.08002Douglis, Avron; Nirenberg, Louis 170 1955 An extended interpolation inequality. Zbl 0163.29905Nirenberg, Louis 162 1966 Travelling fronts in cylinders. Zbl 0799.35073Berestycki, Henri; Nirenberg, Louis 161 1992 H\(^ 1\) versus C\(^ 1\) local minimizers. Zbl 0803.35029Brézis, Haïm; Nirenberg, Louis 156 1993 Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023Nirenberg, Louis 137 2001 Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis 134 1997 Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010Brézis, Haïm; Nirenberg, Louis 131 1995 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 129 1994 A remark on Ky Fan’s minimax principle. Zbl 0264.49013Brézis, Haïm; Nirenberg, Louis; Stampacchia, Guido 128 1972 Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 128 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. 125 1985 Estimates for elliptic systems from composite material. Zbl 1125.35339Li, YanYan; Nirenberg, Louis 123 2003 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 120 1995 Regularity in free boundary problems. Zbl 0352.35023Kinderlehrer, D.; Nirenberg, Louis 117 1977 On spherical image maps whose Jacobians do not change sign. Zbl 0094.16303Hartman, Philip; Nirenberg, Louis 114 1959 Degenerate elliptic-parabolic equations of second order. Zbl 0153.14503Kohn, J. J.; Nirenberg, Louis 109 1967 Lectures on linear partial differential equations. Zbl 0267.35001Nirenberg, Louis 105 1973 An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001Nirenberg, Louis 103 1972 Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis 100 1980 On the analycity of the solutions of linear elliptic systems of partial differential equations. Zbl 0082.09402Morrey, C. B. jun.; Nirenberg, Louis 99 1957 On nonlinear elliptic partial differential equations and Hölder continuity. Zbl 0050.09801Nirenberg, Louis 94 1953 Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 86 1996 Forced vibrations for a nonlinear wave equation. Zbl 0378.35040Brézis, Haïm; Nirenberg, Louis 86 1978 The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023Pogorelov, Aleksey Vasil’yevich 86 1978 A strong maximum principle for parabolic equations. Zbl 0050.09601Nirenberg, Louis 85 1953 The null spaces of elliptic partial differential operators in R\(^n\). Zbl 0272.35029Nirenberg, Louis; Walker, Homer F. 83 1973 Variational and topological methods in nonlinear problems. Zbl 0468.47040Nirenberg, Louis 82 1981 Solvability of a first order linear partial differential equation. Zbl 0117.06104Nirenberg, Louis; Trèves, François 77 1963 Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018Loewner, Charles; Nirenberg, Louis 75 1974 Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel 71 1988 Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031Berestycki, H.; Nirenberg, L. 60 1988 A pseudo-convex domain not admitting a holomorphic support function. Zbl 0248.32013Kohn, J. J.; Nirenberg, Louis 59 1973 Regularity in elliptic free boundary problems. I. Zbl 0402.35045Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 59 1978 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 56 2005 The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083Li, Yanyan; Nirenberg, Louis 55 1998 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. 51 1990 On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801Lax, Peter D.; Nirenberg, Louis 50 1966 On local solvability of linear partial differential equations. I: Necessary conditions. Zbl 0191.39103Nirenberg, Louis; Trèves, François 50 1970 Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space. Zbl 0147.34603Agmon, S.; Nirenberg, Louis 50 1967 Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017Brézis, Haïm; Nirenberg, Louis 48 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. 46 1953 On the existence of deformations of complex analytic structures. Zbl 0088.38004Kodaira, Kunihiko; Nirenberg, Louis; Spencer, D. C. 45 1958 Intrinsic norms on a complex manifold. Zbl 0202.11603Chern, S. S.; Levine, H. I.; Nirenberg, Louis 44 1969 On local solvability of linear partial differential equations. Part II: Sufficient conditions. Zbl 0208.35902Nirenberg, Louis; Trèves, François 44 1970 Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027Caffarelli, L.; Nirenberg, L.; Spruck, J. 42 1986 Symmetry for elliptic equations in a half space. Zbl 0793.35034Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 42 1993 Uniqueness in Cauchy problems for differential equations with constant leading coefficients. Zbl 0077.09402Nirenberg, Louis 41 1957 Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis 36 2013 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 A minimization problem with critical exponent and nonzero data. Zbl 0763.46023Brézis, Haïm; Nirenberg, Louis 32 1989 Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis 32 2009 On a theorem of P. Nowosad. Zbl 0165.45802Karlin, S.; Nirenberg, Louis 29 1967 Estimates and existence of solutions of elliptic equations. Zbl 0070.32301Nirenberg, Louis 28 1956 The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060Kinderlehrer, David; Nirenberg, Louis 27 1978 The Dirichlet problem for the degenerate Monge-Ampère equation. Zbl 0611.35029Caffarelli, L.; Nirenberg, L.; Spruck, J. 26 1987 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 Removable singularities for nonlinear elliptic equations. Zbl 0905.35027Brézis, Haïm; Nirenberg, Louis 23 1997 Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045Kinderlehrer, David; Nirenberg, Louis 23 1978 On a question of Hans Lewy. Zbl 0305.35017Nirenberg, Louis 22 1974 On a generalization of quasi-conformal mappings and its application to elliptic partial differential equations. Zbl 0057.08604Nirenberg, Louis 20 1954 On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications. Zbl 0067.32503Bers, Lipman; Nirenberg, Louis 19 1955 Some remarks on singular solutions of nonlinear elliptic equations. II: Symmetry and monotonicity via moving planes. Zbl 1325.35044Caffarelli, Luis; Li, YanYan; Nirenberg, Louis 18 2012 A correction to: On local solvability of linear partial differential equations. II: Sufficient conditions. Zbl 0221.35019Nirenberg, Louis; Treves, J. F. 18 1971 Degree and Sobolev spaces. Zbl 0956.46024Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis 15 1999 Variational methods in nonlinear problems. Zbl 0980.58005Nirenberg, L. 15 2000 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 15 1993 A proof of the Malgrange preparation theorem. Zbl 0212.10702Nirenberg, Louis 13 1971 A complex Frobenius theorem. Zbl 0099.37502Nirenberg, Louis 12 1958 Pseudo-differential operators. Zbl 0218.35075Nirenberg, Louis 9 1970 On linear and non-linear elliptic boundary value problems in the plane. Zbl 0067.32504Bers, Lipman; Nirenberg, Louis 9 1955 On a form of Bernstein’s theorem. Zbl 0668.35028Caffarelli, L.; Nirenberg, L.; Spruck, J. 8 1988 Comments on nonlinear problems (with an appendix by Lin Changshou). Zbl 0544.58005Nirenberg, Louis 8 1981 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 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 Uniqueness in the Cauchy problem for a degenerate elliptic second order equation. Zbl 0572.35043Nirenberg, Louis 6 1985 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 36 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 18 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 3 2011 Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067Atiyah, 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 32 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. 4 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 1126.00013 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 56 2005 Regularity in an unusual variational problem. Zbl 1113.49041Ekeland, Ivar; Nirenberg, Louis 1 2005 The distance function to the boundary and singular set of viscosity solutions of Hamilton-Jacobi equation. Zbl 1387.35106Nirenberg, L. 1 2005 Abstract and applied analysis. Proceedings of the international conference, Hanoi, Vietnam, August 13–17, 2002. Zbl 1058.00011 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 123 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 137 2001 Variational methods in nonlinear problems. Zbl 0980.58005Nirenberg, L. 15 2000 Degree and Sobolev spaces. Zbl 0956.46024Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis 15 1999 The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083Li, Yanyan; Nirenberg, Louis 55 1998 Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis 134 1997 Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 128 1997 Removable singularities for nonlinear elliptic equations. Zbl 0905.35027Brézis, Haïm; Nirenberg, Louis 23 1997 Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 86 1996 Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017Brézis, Haïm; Nirenberg, Louis 48 1996 Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010Brézis, Haïm; Nirenberg, Louis 131 1995 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 120 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. 299 1994 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 129 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 156 1993 Symmetry for elliptic equations in a half space. Zbl 0793.35034Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 42 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 15 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 161 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. 329 1991 Remarks on finding critical points. Zbl 0751.58006Brézis, Haïm; Nirenberg, Louis 207 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. 51 1990 A minimization problem with critical exponent and nonzero data. Zbl 0763.46023Brézis, Haïm; Nirenberg, Louis 32 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 71 1988 Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031Berestycki, H.; Nirenberg, L. 60 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. 26 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. 42 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. 364 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. 125 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 503 1984 The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047Caffarelli, L.; Nirenberg, Louis; Spruck, J. 253 1984 Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029Brézis, Haïm; Nirenberg, Louis 1,400 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 610 1982 Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 226 1981 Variational and topological methods in nonlinear problems. Zbl 0468.47040Nirenberg, Louis 82 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 100 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 1,319 1979 Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 7 1979 Non-linear problems in geometry. Conference held at Katata, September 3–8, 1979. Proceedings of the 6th international Taniguchi symposium. Zbl 0433.53002 1 1979 Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035Brézis, Haïm; Nirenberg, Louis 180 1978 Forced vibrations for a nonlinear wave equation. Zbl 0378.35040Brézis, Haïm; Nirenberg, Louis 86 1978 The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023Pogorelov, Aleksey Vasil’yevich 86 1978 Regularity in elliptic free boundary problems. I. Zbl 0402.35045Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 59 1978 The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060Kinderlehrer, David; Nirenberg, Louis 27 1978 Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045Kinderlehrer, David; Nirenberg, Louis 23 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 117 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 4 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 255 1974 Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018Loewner, Charles; Nirenberg, Louis 75 1974 On a question of Hans Lewy. Zbl 0305.35017Nirenberg, Louis 22 1974 Contributions to analysis. A collection of papers dedicated to Lipman Bers. Zbl 0283.00007 1 1974 Lectures on linear partial differential equations. Zbl 0267.35001Nirenberg, Louis 105 1973 The null spaces of elliptic partial differential operators in R\(^n\). Zbl 0272.35029Nirenberg, Louis; Walker, Homer F. 83 1973 A pseudo-convex domain not admitting a holomorphic support function. Zbl 0248.32013Kohn, J. J.; Nirenberg, Louis 59 1973 A remark on Ky Fan’s minimax principle. Zbl 0264.49013Brézis, Haïm; Nirenberg, Louis; Stampacchia, Guido 128 1972 An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001Nirenberg, Louis 103 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 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,143 Authors 59 Nazarov, Sergeĭ Aleksandrovich 53 Li, YanYan 53 Wei, Juncheng 50 Papageorgiou, Nikolaos S. 47 Miyagaki, Olimpio Hiroshi 46 Rădulescu, Vicenţiu D. 45 Berestycki, Henri 44 Zou, Wenming 43 Brézis, Haïm 40 Hamel, François 39 Schechter, Martin 37 Wang, Lihe 37 Yang, Dachun 34 Kang, Dongsheng 33 Dolbeault, Jean 33 Maz’ya, Vladimir Gilelevich 32 Pacella, Filomena 31 Byeon, Jaeyoung 31 Sciunzi, Berardino 30 Grossi, Massimo 30 Shivaji, Ratnasingham 29 Bao, Jiguang 29 Cao, Daomin 29 Dancer, Edward Norman 29 Peral Alonso, Ireneo 28 Farina, Alberto 28 Korman, Philip L. 28 Li, Congming 28 Lin, Chang-Shou 28 Nirenberg, Louis 28 Peng, Shuangjie 28 Valdinoci, Enrico 28 Wang, Zhi-Qiang 27 Byun, Sun-Sig 27 Friedman, Avner 26 Guedes de Figueiredo, Djairo 26 Do Ó, João M. Bezerra 26 Dong, Hongjie 26 García-Melián, Jorge 26 Li, Yi 26 López-Gómez, Julián 26 Shakhmurov, Veli B. 26 Van Schaftingen, Jean 25 Birindelli, Isabeau 25 Han, Pigong 25 Ivochkina, Nina Mikhaĭlovna 25 Niu, Pengcheng 25 Pistoia, Angela 25 Trudinger, Neil Sidney 25 Wang, Xu-Jia 24 Caffarelli, Luis Ángel 24 Guo, Zongming 24 Ruf, Bernhard 24 Yan, Shusen 23 Lu, Guozhen 23 Mironescu, Petru 23 Seregin, Gregory A. 23 Tan, Zhong 23 Xiao, Jie 23 Zhong, Xin 22 Alves, Claudianor Oliveira 22 Deng, Yinbin 22 Ni, Wei-Ming 22 Quaas, Alexander 22 Sirakov, Boyan Slavchev 22 Trèves, François 22 Weth, Tobias 21 Du, Yihong 21 Esteban, Maria J. 21 Kukavica, Igor 21 Li, Dongsheng 21 Tang, Xianhua 21 Wang, Yanqing 21 Yang, Minbo 20 Guo, Yuxia 20 Montoro, Luigi 20 Mu, Chunlai 20 Musso, Monica 20 Peletier, Lambertus Adrianus 20 Ragusa, Maria Alessandra 20 Ryazanov, Vladimir Il’ich 20 Shi, Junping 20 Vitolo, Antonio 19 Bonheure, Denis 19 Capuzzo Dolcetta, Italo 19 Gazzola, Filippo 19 Li, Shujie 19 Li, Wan-Tong 19 Lions, Pierre-Louis 19 Nadirashvili, Nikolai S. 19 Willem, Michel 19 Yang, Jianfu 18 Chen, Wenxiong 18 Del Pino, Manuel A. 18 Furtado, Marcelo Fernandes 18 Ghoussoub, Nassif A. 18 Huang, Yisheng 18 McKenna, Patrick Joseph 18 Rossi, Julio Daniel 18 Suzuki, Takashi ...and 9,043 more Authors all top 5 Cited in 577 Serials 799 Journal of Differential Equations 696 Journal of Mathematical Analysis and Applications 571 Nonlinear Analysis. 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(English Edition) 29 Proceedings of the Japan Academy 28 Arkiv för Matematik 28 Journal of Evolution Equations 28 Mediterranean Journal of Mathematics 26 Czechoslovak Mathematical Journal 26 Differential Geometry and its Applications 25 Integral Equations and Operator Theory 25 Journal of Elasticity ...and 477 more Serials all top 5 Cited in 61 Fields 9,317 Partial differential equations (35-XX) 1,349 Fluid mechanics (76-XX) 1,085 Operator theory (47-XX) 1,061 Global analysis, analysis on manifolds (58-XX) 939 Differential geometry (53-XX) 780 Functional analysis (46-XX) 680 Calculus of variations and optimal control; optimization (49-XX) 568 Several complex variables and analytic spaces (32-XX) 567 Ordinary differential equations (34-XX) 460 Numerical analysis (65-XX) 432 Harmonic analysis on Euclidean spaces (42-XX) 411 Mechanics of deformable solids (74-XX) 367 Biology and other natural sciences (92-XX) 301 Real functions (26-XX) 244 Dynamical systems and ergodic theory (37-XX) 222 Potential theory (31-XX) 196 Functions of a complex variable (30-XX) 182 Integral equations (45-XX) 161 Statistical mechanics, structure of matter (82-XX) 139 Quantum theory (81-XX) 133 Probability theory and stochastic processes (60-XX) 113 Optics, electromagnetic theory (78-XX) 104 Classical thermodynamics, heat transfer (80-XX) 99 Convex and discrete geometry (52-XX) 89 Relativity and gravitational theory (83-XX) 84 Operations research, mathematical programming (90-XX) 77 Systems theory; control (93-XX) 71 Abstract harmonic analysis (43-XX) 62 Manifolds and cell complexes (57-XX) 61 Topological groups, Lie groups (22-XX) 53 Mechanics of particles and systems (70-XX) 48 Measure and integration (28-XX) 48 Difference and functional equations (39-XX) 47 Algebraic geometry (14-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Algebraic topology (55-XX) 40 Geophysics (86-XX) 36 Approximations and expansions (41-XX) 25 Astronomy and astrophysics (85-XX) 23 General topology (54-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 19 History and biography (01-XX) 19 Integral transforms, operational calculus (44-XX) 17 Information and communication theory, circuits (94-XX) 16 Geometry (51-XX) 15 Nonassociative rings and algebras (17-XX) 13 General and overarching topics; collections (00-XX) 13 Statistics (62-XX) 13 Computer science (68-XX) 9 Number theory (11-XX) 8 Combinatorics (05-XX) 8 Special functions (33-XX) 7 Group theory and generalizations (20-XX) 5 Associative rings and algebras (16-XX) 5 \(K\)-theory (19-XX) 4 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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