Edit Profile (opens in new tab) Nirenberg, Louis (b. 1925 d. 2020) Co-Author Distance 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: 184 Publications since 1953, including 7 Books 11 Contributions as Editor · 6 Further Contributions Biographic References: 21 Publications Co-Authors: 100 Co-Authors with 120 Joint Publications 3,692 Co-Co-Authors all top 5 Co-Authors 75 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 Davis, Martin David 1 De Lellis, Camillo 1 Douglas, Ronald George 1 Fisher, Joseph A. 1 Foiaș, Ciprian 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, Boris 1 Hartman, Philip 1 Heckman, Gert 1 Hitchin, Nigel 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 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 108 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 152 Publications have been cited 16,897 times in 13,825 Documents Cited by ▼ Year ▼ Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029Brézis, Haïm; Nirenberg, Louis 1,530 1983 Symmetry and related properties via the maximum principle. Zbl 0425.35020Gidas, B.; Ni, Wei-Ming; Nirenberg, L. 1,419 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 1,347 1959 On elliptic partial differential equations. Zbl 0088.07601Nirenberg, Louis 890 1959 On functions of bounded mean oscillation. Zbl 0102.04302John, Fritz; Nirenberg, Louis 763 1961 Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II. Zbl 0123.28706Agmon, S.; Douglis, A.; Nirenberg, Louis 761 1964 Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067Caffarelli, L.; Kohn, R.; Nirenberg, Louis 669 1982 First order interpolation inequalities with weights. Zbl 0563.46024Caffarelli, L.; Kohn, R.; Nirenberg, Louis 559 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. 423 1985 On the method of moving planes and the sliding method. Zbl 0784.35025Berestycki, H.; Nirenberg, L. 364 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. 342 1994 Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 295 1981 The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047Caffarelli, L.; Nirenberg, Louis; Spruck, J. 283 1984 Topics in nonlinear functional analysis. Notes by R. A. Artino. Zbl 0286.47037Nirenberg, Louis 281 1974 Complex analytic coordinates in almost complex manifolds. Zbl 0079.16102Newlander, A.; Nirenberg, Louis 267 1957 Remarks on finding critical points. Zbl 0751.58006Brézis, Haïm; Nirenberg, Louis 219 1991 An algebra of pseudo-differential operators. Zbl 0171.35101Kohn, J. J.; Nirenberg, Louis 218 1965 Non-coercive boundary value problems. Zbl 0125.33302Kohn, J. J.; Nirenberg, Louis 207 1965 Remarks on strongly elliptic partial differential equations. Zbl 0067.07602Nirenberg, Louis 198 1955 An extended interpolation inequality. Zbl 0163.29905Nirenberg, Louis 190 1966 Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035Brézis, Haïm; Nirenberg, Louis 188 1978 The Weyl and Minkowski problems in differential geometry in the large. Zbl 0051.12402Nirenberg, Louis 188 1953 Properties of solutions of ordinary differential equations in Banach space. Zbl 0117.10001Agmon, S.; Nirenberg, Louis 182 1963 H\(^ 1\) versus C\(^ 1\) local minimizers. Zbl 0803.35029Brézis, Haïm; Nirenberg, Louis 176 1993 Interior estimates for elliptic systems of partial differential equations. Zbl 0066.08002Douglis, Avron; Nirenberg, Louis 176 1955 Travelling fronts in cylinders. Zbl 0799.35073Berestycki, Henri; Nirenberg, Louis 175 1992 Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023Nirenberg, Louis 153 2001 Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010Brézis, Haïm; Nirenberg, Louis 149 1995 Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis 149 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. 147 1985 Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 142 1997 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 139 1994 Estimates for elliptic systems from composite material. Zbl 1125.35339Li, YanYan; Nirenberg, Louis 138 2003 A remark on Ky Fan’s minimax principle. Zbl 0264.49013Brézis, Haïm; Nirenberg, Louis; Stampacchia, Guido 138 1972 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 127 1995 Regularity in free boundary problems. Zbl 0352.35023Kinderlehrer, D.; Nirenberg, Louis 127 1977 On spherical image maps whose Jacobians do not change sign. Zbl 0094.16303Hartman, Philip; Nirenberg, Louis 121 1959 Degenerate elliptic-parabolic equations of second order. Zbl 0153.14503Kohn, J. J.; Nirenberg, Louis 113 1967 An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001Nirenberg, Louis 110 1972 Lectures on linear partial differential equations. Zbl 0267.35001Nirenberg, Louis 107 1973 Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis 106 1980 On the analycity of the solutions of linear elliptic systems of partial differential equations. Zbl 0082.09402Morrey, C. B. jun.; Nirenberg, Louis 103 1957 On nonlinear elliptic partial differential equations and Hölder continuity. Zbl 0050.09801Nirenberg, Louis 98 1953 The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023Pogorelov, Aleksey Vasil’yevich 97 1978 Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018Loewner, Charles; Nirenberg, Louis 97 1974 Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 90 1996 The null spaces of elliptic partial differential operators in R\(^n\). Zbl 0272.35029Nirenberg, Louis; Walker, Homer F. 89 1973 Forced vibrations for a nonlinear wave equation. Zbl 0378.35040Brézis, Haïm; Nirenberg, Louis 88 1978 A strong maximum principle for parabolic equations. Zbl 0050.09601Nirenberg, Louis 87 1953 Variational and topological methods in nonlinear problems. Zbl 0468.47040Nirenberg, Louis 85 1981 Solvability of a first order linear partial differential equation. Zbl 0117.06104Nirenberg, Louis; Trèves, François 83 1963 Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel 76 1988 Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031Berestycki, H.; Nirenberg, L. 67 1988 Regularity in elliptic free boundary problems. I. Zbl 0402.35045Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 66 1978 Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004Berestycki, H.; Nirenberg, L. 63 1990 A pseudo-convex domain not admitting a holomorphic support function. Zbl 0248.32013Kohn, J. J.; Nirenberg, Louis 60 1973 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 60 2005 Uniform estimates for regularization of free boundary problems. Zbl 0702.35252Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 59 1990 The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083Li, Yanyan; Nirenberg, Louis 58 1998 Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space. Zbl 0147.34603Agmon, S.; Nirenberg, Louis 55 1967 Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017Brézis, Haïm; Nirenberg, Louis 52 1996 On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801Lax, Peter D.; Nirenberg, Louis 52 1966 On local solvability of linear partial differential equations. I: Necessary conditions. Zbl 0191.39103Nirenberg, Louis; Trèves, François 52 1970 Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027Caffarelli, L.; Nirenberg, L.; Spruck, J. 49 1986 Intrinsic norms on a complex manifold. Zbl 0202.11603Chern, S. S.; Levine, H. I.; Nirenberg, Louis 49 1969 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. 49 1953 Symmetry for elliptic equations in a half space. Zbl 0793.35034Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 46 1993 On the existence of deformations of complex analytic structures. Zbl 0088.38004Kodaira, Kunihiko; Nirenberg, Louis; Spencer, D. C. 46 1958 On local solvability of linear partial differential equations. Part II: Sufficient conditions. Zbl 0208.35902Nirenberg, Louis; Trèves, François 45 1970 Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis 44 2013 Uniqueness in Cauchy problems for differential equations with constant leading coefficients. Zbl 0077.09402Nirenberg, Louis 42 1957 Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis 38 2009 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 36 1962 A minimization problem with critical exponent and nonzero data. Zbl 0763.46023Brézis, Haïm; Nirenberg, Louis 35 1989 Local boundary regularity of holomorphic mappings. Zbl 0436.32018Nirenberg, Louis; Webster, S.; Yang, P. 33 1980 On a theorem of P. Nowosad. Zbl 0165.45802Karlin, S.; Nirenberg, Louis 30 1967 The Dirichlet problem for the degenerate Monge-Ampère equation. Zbl 0611.35029Caffarelli, L.; Nirenberg, L.; Spruck, J. 29 1987 The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060Kinderlehrer, David; Nirenberg, Louis 29 1978 Estimates and existence of solutions of elliptic equations. Zbl 0070.32301Nirenberg, Louis 28 1956 Removable singularities for nonlinear elliptic equations. Zbl 0905.35027Brézis, Haïm; Nirenberg, Louis 27 1997 Topics in nonlinear functional analysis. (Lektsii po nelinejnomu funktsional’nomu analizu). Transl. from the English by N. D. Vvedenskaya. Zbl 0426.47034Nirenberg, Louis 27 1977 On a question of Hans Lewy. Zbl 0305.35017Nirenberg, Louis 25 1974 Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045Kinderlehrer, David; Nirenberg, Louis 24 1978 On a generalization of quasi-conformal mappings and its application to elliptic partial differential equations. Zbl 0057.08604Nirenberg, Louis 23 1954 A correction to: On local solvability of linear partial differential equations. II: Sufficient conditions. Zbl 0221.35019Nirenberg, Louis; Treves, J. F. 21 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 20 2012 On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications. Zbl 0067.32503Bers, Lipman; Nirenberg, Louis 19 1955 Variational methods in nonlinear problems. Zbl 0980.58005Nirenberg, L. 16 2000 Degree and Sobolev spaces. Zbl 0956.46024Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis 16 1999 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 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 Pseudo-differential operators. Zbl 0218.35075Nirenberg, Louis 8 1970 Comments on nonlinear problems (with an appendix by Lin Changshou). Zbl 0544.58005Nirenberg, Louis 8 1981 Correction to: The Dirichlet problem for nonlinear second-order elliptic equations. I. Monge-Ampère equation. Zbl 0641.35025Caffarelli, L.; Nirenberg, L.; Spruck, J. 7 1987 Asymptotic behaviour via the Harnack inequality. Zbl 0840.35011Berestycki, H.; Nirenberg, L. 7 1991 Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 7 1979 On fully nonlinear elliptic equations of second order. Zbl 0778.35035Nirenberg, L. 6 1989 The Abel Prize 2013–2017. Zbl 1419.01001 1 2019 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 Ad honorem Charles Fefferman. Zbl 1377.01024Córdoba, Antonio; Stein, Elias; Tao, Terence; Nirenberg, Louis; Kohn, Joseph J.; Chang, Sun-Yung Alice; Graham, C. Robin; Córdoba, Diego; Klartag, Bo’az; Fröhlich, Jürg; Seco, Luis; Weinstein, Michael 2 2017 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 44 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 20 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 4 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 2 2011 Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis 38 2009 Partial results on extending the Hopf Lemma. Zbl 1196.35062Li, Yan Yan; Nirenberg, Louis 5 2009 The Dirichlet problem for some fully nonlinear elliptic equations. Zbl 1494.35084Nirenberg, Louis 1 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 6 2006 Generalization of a well-known inequality. Zbl 1284.26021Li, YanYan; Nirenberg, Louis 4 2006 A geometric problem and the Hopf lemma. I. Zbl 1113.53003Li, YanYan; Nirenberg, Louis 4 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 60 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 3 2004 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark 3 2004 Estimates for elliptic systems from composite material. Zbl 1125.35339Li, YanYan; Nirenberg, Louis 138 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 153 2001 Variational methods in nonlinear problems. Zbl 0980.58005Nirenberg, L. 16 2000 Degree and Sobolev spaces. Zbl 0956.46024Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis 16 1999 The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083Li, Yanyan; Nirenberg, Louis 58 1998 Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis 149 1997 Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 142 1997 Removable singularities for nonlinear elliptic equations. Zbl 0905.35027Brézis, Haïm; Nirenberg, Louis 27 1997 Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 90 1996 Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017Brézis, Haïm; Nirenberg, Louis 52 1996 Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010Brézis, Haïm; Nirenberg, Louis 149 1995 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 127 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. 342 1994 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 139 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 176 1993 Symmetry for elliptic equations in a half space. Zbl 0793.35034Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 46 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 175 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. 364 1991 Remarks on finding critical points. Zbl 0751.58006Brézis, Haïm; Nirenberg, Louis 219 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 Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004Berestycki, H.; Nirenberg, L. 63 1990 Uniform estimates for regularization of free boundary problems. Zbl 0702.35252Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 59 1990 A minimization problem with critical exponent and nonzero data. Zbl 0763.46023Brézis, Haïm; Nirenberg, Louis 35 1989 On fully nonlinear elliptic equations of second order. Zbl 0778.35035Nirenberg, L. 6 1989 Variational methods in nonlinear problems. Zbl 0679.58021Nirenberg, L. 5 1989 Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel 76 1988 Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031Berestycki, H.; Nirenberg, L. 67 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. 29 1987 Correction to: The Dirichlet problem for nonlinear second-order elliptic equations. I. Monge-Ampère equation. Zbl 0641.35025Caffarelli, L.; Nirenberg, L.; Spruck, J. 7 1987 Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027Caffarelli, L.; Nirenberg, L.; Spruck, J. 49 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. 423 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. 147 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 559 1984 The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047Caffarelli, L.; Nirenberg, Louis; Spruck, J. 283 1984 Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029Brézis, Haïm; Nirenberg, Louis 1,530 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 669 1982 Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 295 1981 Variational and topological methods in nonlinear problems. Zbl 0468.47040Nirenberg, Louis 85 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 106 1980 Local boundary regularity of holomorphic mappings. Zbl 0436.32018Nirenberg, Louis; Webster, S.; Yang, P. 33 1980 Symmetry and related properties via the maximum principle. Zbl 0425.35020Gidas, B.; Ni, Wei-Ming; Nirenberg, L. 1,419 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 188 1978 The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023Pogorelov, Aleksey Vasil’yevich 97 1978 Forced vibrations for a nonlinear wave equation. Zbl 0378.35040Brézis, Haïm; Nirenberg, Louis 88 1978 Regularity in elliptic free boundary problems. I. Zbl 0402.35045Kinderlehrer, D.; Nirenberg, Louis; Spruck, J. 66 1978 The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060Kinderlehrer, David; Nirenberg, Louis 29 1978 Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045Kinderlehrer, David; Nirenberg, Louis 24 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 127 1977 Topics in nonlinear functional analysis. (Lektsii po nelinejnomu funktsional’nomu analizu). Transl. from the English by N. D. Vvedenskaya. Zbl 0426.47034Nirenberg, Louis 27 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 equations 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 Vorlesungen über lineare partielle Differentialgleichungen. Zbl 0311.35001Nirenberg, Louis 1 1975 Topics in nonlinear functional analysis. Notes by R. A. Artino. Zbl 0286.47037Nirenberg, Louis 281 1974 Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018Loewner, Charles; Nirenberg, Louis 97 1974 On a question of Hans Lewy. Zbl 0305.35017Nirenberg, Louis 25 1974 Contributions to analysis. A collection of papers dedicated to Lipman Bers. Zbl 0283.00007 2 1974 Lectures on linear partial differential equations. Zbl 0267.35001Nirenberg, Louis 107 1973 The null spaces of elliptic partial differential operators in R\(^n\). Zbl 0272.35029Nirenberg, Louis; Walker, Homer F. 89 1973 A pseudo-convex domain not admitting a holomorphic support function. Zbl 0248.32013Kohn, J. J.; Nirenberg, Louis 60 1973 ...and 52 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,014 Authors 63 Nazarov, Sergeĭ Aleksandrovich 63 Wei, Juncheng 61 Tang, Chun-Lei 53 Li, YanYan 53 Zou, Wenming 50 Papageorgiou, Nikolaos S. 48 Miyagaki, Olimpio Hiroshi 48 Rădulescu, Vicenţiu D. 47 Berestycki, Henri 45 Yang, Dachun 43 Brézis, Haïm 43 Hamel, François 39 Schechter, Martin 38 Sciunzi, Berardino 37 Wang, Lihe 35 Maz’ya, Vladimir Gilelevich 34 Kang, Dongsheng 33 Bao, Jiguang 33 Dolbeault, Jean 33 Grossi, Massimo 33 Pacella, Filomena 33 Wang, Zhi-Qiang 33 Zhong, Xin 31 Byeon, Jaeyoung 31 Shivaji, Ratnasingham 30 Li, Congming 30 Lin, Chang-Shou 30 Peral Alonso, Ireneo 30 Valdinoci, Enrico 30 Van Schaftingen, Jean 29 Cao, Daomin 29 Dancer, Edward Norman 29 Farina, Alberto 29 López-Gómez, Julián 29 Peng, Shuangjie 28 Dong, Hongjie 28 Korman, Philip L. 28 Nirenberg, Louis 28 Pistoia, Angela 28 Yang, Minbo 27 Birindelli, Isabeau 27 Byun, Sun-Sig 27 Do Ó, João M. 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(English Edition) 32 Applied Mathematics and Optimization 32 Journal of Inequalities and Applications 31 Bulletin of the Australian Mathematical Society 30 Czechoslovak Mathematical Journal 30 Annals of Global Analysis and Geometry 30 St. Petersburg Mathematical Journal 29 Publications of the Research Institute for Mathematical Sciences, Kyoto University 29 Journal of Evolution Equations 29 Proceedings of the Japan Academy 28 Arkiv för Matematik 28 Differential Geometry and its Applications 28 Electronic Journal of Differential Equations (EJDE) 28 Journal of Pseudo-Differential Operators and Applications ...and 513 more Serials all top 5 Cited in 61 Fields 10,234 Partial differential equations (35-XX) 1,502 Fluid mechanics (76-XX) 1,173 Operator theory (47-XX) 1,139 Global analysis, analysis on manifolds (58-XX) 1,044 Differential geometry (53-XX) 859 Functional analysis (46-XX) 723 Calculus of variations and optimal control; optimization (49-XX) 618 Several complex variables and analytic spaces (32-XX) 591 Ordinary differential equations (34-XX) 505 Harmonic analysis on Euclidean spaces (42-XX) 493 Numerical analysis (65-XX) 440 Mechanics of deformable solids (74-XX) 423 Biology and other natural sciences (92-XX) 358 Real functions (26-XX) 278 Dynamical systems and ergodic theory (37-XX) 239 Potential theory (31-XX) 212 Functions of a complex variable (30-XX) 201 Integral equations (45-XX) 174 Statistical mechanics, structure of matter (82-XX) 155 Probability theory and stochastic processes (60-XX) 152 Quantum theory (81-XX) 131 Optics, electromagnetic theory (78-XX) 118 Classical thermodynamics, heat transfer (80-XX) 106 Convex and discrete geometry (52-XX) 97 Relativity and gravitational theory (83-XX) 93 Operations research, mathematical programming (90-XX) 82 Systems theory; control (93-XX) 78 Abstract harmonic analysis (43-XX) 68 Topological groups, Lie groups (22-XX) 67 Manifolds and cell complexes (57-XX) 57 Mechanics of particles and systems (70-XX) 55 Algebraic geometry (14-XX) 54 Measure and integration (28-XX) 54 Difference and functional equations (39-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 46 Algebraic topology (55-XX) 44 Geophysics (86-XX) 42 Approximations and expansions (41-XX) 26 Astronomy and astrophysics (85-XX) 25 History and biography (01-XX) 25 General topology (54-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 22 Integral transforms, operational calculus (44-XX) 20 Nonassociative rings and algebras (17-XX) 20 Geometry (51-XX) 19 Information and communication theory, circuits (94-XX) 17 Computer science (68-XX) 15 General and overarching topics; collections (00-XX) 13 Statistics (62-XX) 11 Special functions (33-XX) 10 Combinatorics (05-XX) 10 Number theory (11-XX) 10 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) 3 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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