## Nirenberg, Louis

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 0541.35029
Brézis, Haïm; Nirenberg, Louis
1983
Symmetry and related properties via the maximum principle. Zbl 0425.35020
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1979
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Zbl 0093.10401
Agmon, S.; Douglis, A.; Nirenberg, Louis
1959
On elliptic partial differential equations. Zbl 0088.07601
Nirenberg, Louis
1959
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II. Zbl 0123.28706
Agmon, S.; Douglis, A.; Nirenberg, Louis
1964
On functions of bounded mean oscillation. Zbl 0102.04302
John, Fritz; Nirenberg, Louis
1961
Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
1982
First order interpolation inequalities with weights. Zbl 0563.46024
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
1984
The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian. Zbl 0654.35031
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1985
On the method of moving planes and the sliding method. Zbl 0784.35025
Berestycki, H.; Nirenberg, L.
1991
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
1994
Topics in nonlinear functional analysis. Notes by R. A. Artino. Zbl 0286.47037
Nirenberg, Louis
1974
The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047
Caffarelli, L.; Nirenberg, Louis; Spruck, J.
1984
Complex analytic coordinates in almost complex manifolds. Zbl 0079.16102
Newlander, A.; Nirenberg, Louis
1957
Symmetry of positive solutions of nonlinear elliptic equations in $$\mathbb R^n$$. Zbl 0469.35052
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1981
Remarks on finding critical points. Zbl 0751.58006
Brézis, Haïm; Nirenberg, Louis
1991
Non-coercive boundary value problems. Zbl 0125.33302
Kohn, J. J.; Nirenberg, Louis
1965
An algebra of pseudo-differential operators. Zbl 0171.35101
Kohn, J. J.; Nirenberg, Louis
1965
Remarks on strongly elliptic partial differential equations. Zbl 0067.07602
Nirenberg, Louis
1955
Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035
Brézis, Haïm; Nirenberg, Louis
1978
Properties of solutions of ordinary differential equations in Banach space. Zbl 0117.10001
Agmon, S.; Nirenberg, Louis
1963
The Weyl and Minkowski problems in differential geometry in the large. Zbl 0051.12402
Nirenberg, Louis
1953
Interior estimates for elliptic systems of partial differential equations. Zbl 0066.08002
Douglis, Avron; Nirenberg, Louis
1955
An extended interpolation inequality. Zbl 0163.29905
Nirenberg, Louis
1966
Travelling fronts in cylinders. Zbl 0799.35073
Berestycki, Henri; Nirenberg, Louis
1992
H$$^ 1$$ versus C$$^ 1$$ local minimizers. Zbl 0803.35029
Brézis, Haïm; Nirenberg, Louis
1993
Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023
Nirenberg, Louis
2001
Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513
Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis
1997
Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010
Brézis, Haïm; Nirenberg, Louis
1995
Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030
Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L.
1994
A remark on Ky Fan’s minimax principle. Zbl 0264.49013
Brézis, Haïm; Nirenberg, Louis; Stampacchia, Guido
1972
Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
1997
The Dirichlet problem for nonlinear second-order elliptic equations. II: Complex Monge-Ampère, and uniformly elliptic, equations. Zbl 0598.35048
Caffarelli, L.; Kohn, J. J.; Nirenberg, Louis; Spruck, J.
1985
Estimates for elliptic systems from composite material. Zbl 1125.35339
Li, YanYan; Nirenberg, Louis
2003
Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
1995
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
1977
On spherical image maps whose Jacobians do not change sign. Zbl 0094.16303
Hartman, Philip; Nirenberg, Louis
1959
Degenerate elliptic-parabolic equations of second order. Zbl 0153.14503
Kohn, J. J.; Nirenberg, Louis
1967
Lectures on linear partial differential equations. Zbl 0267.35001
Nirenberg, Louis
1973
An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001
Nirenberg, Louis
1972
Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057
Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis
1980
On the analycity of the solutions of linear elliptic systems of partial differential equations. Zbl 0082.09402
Morrey, C. B. jun.; Nirenberg, Louis
1957
On nonlinear elliptic partial differential equations and Hölder continuity. Zbl 0050.09801
Nirenberg, Louis
1953
Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
1996
Forced vibrations for a nonlinear wave equation. Zbl 0378.35040
Brézis, Haïm; Nirenberg, Louis
1978
The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023
Pogorelov, Aleksey Vasil’yevich
1978
A strong maximum principle for parabolic equations. Zbl 0050.09601
Nirenberg, Louis
1953
The null spaces of elliptic partial differential operators in R$$^n$$. Zbl 0272.35029
Nirenberg, Louis; Walker, Homer F.
1973
Variational and topological methods in nonlinear problems. Zbl 0468.47040
Nirenberg, Louis
1981
Solvability of a first order linear partial differential equation. Zbl 0117.06104
Nirenberg, Louis; Trèves, François
1963
Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018
Loewner, Charles; Nirenberg, Louis
1974
Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028
Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel
1988
Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031
Berestycki, H.; Nirenberg, L.
1988
A pseudo-convex domain not admitting a holomorphic support function. Zbl 0248.32013
Kohn, J. J.; Nirenberg, Louis
1973
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
1978
The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations. Zbl 1062.49021
Li, YanYan; Nirenberg, Louis
2005
The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083
Li, Yanyan; Nirenberg, Louis
1998
Uniform estimates for regularization of free boundary problems. Zbl 0702.35252
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
1990
Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004
Berestycki, H.; Nirenberg, L.
1990
On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801
Lax, Peter D.; Nirenberg, Louis
1966
On local solvability of linear partial differential equations. I: Necessary conditions. Zbl 0191.39103
Nirenberg, Louis; Trèves, François
1970
Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space. Zbl 0147.34603
Agmon, S.; Nirenberg, Louis
1967
Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017
Brézis, Haïm; Nirenberg, Louis
1996
A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptic-hyperbolic type. Zbl 0090.07401
Agmon, S.; Nirenberg, Louis; Protter, M. H.
1953
On the existence of deformations of complex analytic structures. Zbl 0088.38004
Kodaira, Kunihiko; Nirenberg, Louis; Spencer, D. C.
1958
Intrinsic norms on a complex manifold. Zbl 0202.11603
Chern, S. S.; Levine, H. I.; Nirenberg, Louis
1969
On local solvability of linear partial differential equations. Part II: Sufficient conditions. Zbl 0208.35902
Nirenberg, Louis; Trèves, François
1970
Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1986
Symmetry for elliptic equations in a half space. Zbl 0793.35034
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
1993
Uniqueness in Cauchy problems for differential equations with constant leading coefficients. Zbl 0077.09402
Nirenberg, Louis
1957
Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044
Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis
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 0104.32305
Agmon, S.; Douglis, A.; Nirenberg, Louis
1962
Local boundary regularity of holomorphic mappings. Zbl 0436.32018
Nirenberg, Louis; Webster, S.; Yang, P.
1980
A minimization problem with critical exponent and nonzero data. Zbl 0763.46023
Brézis, Haïm; Nirenberg, Louis
1989
Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068
Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis
2009
On a theorem of P. Nowosad. Zbl 0165.45802
Karlin, S.; Nirenberg, Louis
1967
Estimates and existence of solutions of elliptic equations. Zbl 0070.32301
Nirenberg, Louis
1956
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
1978
The Dirichlet problem for the degenerate Monge-Ampère equation. Zbl 0611.35029
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1987
Topics in nonlinear functional analysis. (Lektsii po nelinejnomu funktsional’nomu analizu). Transl. from the English by N. D. Vvedenskaya. Zbl 0426.47034
Nirenberg, Louis
1977
Removable singularities for nonlinear elliptic equations. Zbl 0905.35027
Brézis, Haïm; Nirenberg, Louis
1997
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
1978
On a question of Hans Lewy. Zbl 0305.35017
Nirenberg, Louis
1974
On a generalization of quasi-conformal mappings and its application to elliptic partial differential equations. Zbl 0057.08604
Nirenberg, Louis
1954
On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications. Zbl 0067.32503
Bers, Lipman; Nirenberg, Louis
1955
Some remarks on singular solutions of nonlinear elliptic equations. II: Symmetry and monotonicity via moving planes. Zbl 1325.35044
Caffarelli, Luis; Li, YanYan; Nirenberg, Louis
2012
A correction to: On local solvability of linear partial differential equations. II: Sufficient conditions. Zbl 0221.35019
Nirenberg, Louis; Treves, J. F.
1971
Degree and Sobolev spaces. Zbl 0956.46024
Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis
1999
Variational methods in nonlinear problems. Zbl 0980.58005
Nirenberg, L.
2000
Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
1993
A proof of the Malgrange preparation theorem. Zbl 0212.10702
Nirenberg, Louis
1971
A complex Frobenius theorem. Zbl 0099.37502
Nirenberg, Louis
1958
Pseudo-differential operators. Zbl 0218.35075
Nirenberg, Louis
1970
On linear and non-linear elliptic boundary value problems in the plane. Zbl 0067.32504
Bers, Lipman; Nirenberg, Louis
1955
On a form of Bernstein’s theorem. Zbl 0668.35028
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1988
Comments on nonlinear problems (with an appendix by Lin Changshou). Zbl 0544.58005
Nirenberg, Louis
1981
Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
1979
Asymptotic behaviour via the Harnack inequality. Zbl 0840.35011
Berestycki, H.; Nirenberg, L.
1991
Correction to: The Dirichlet problem for nonlinear second-order elliptic equations. I. Monge-Ampère equation. Zbl 0641.35025
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1987
Uniqueness in the Cauchy problem for a degenerate elliptic second order equation. Zbl 0572.35043
Nirenberg, Louis
1985
Felix Browder (1927–2016). Zbl 1406.35004
Brezis, Haïim; Nussbaum, Roger D.; Cohen, Amy; Beals, Richard; Mawhin, Jean; Teman, Roger; Nirenberg, Louis; Berestycki, Henri; Mastrian, Barbara; Chanillo, Sagun; Lebowitz, Joel; Roberts, Fred; Bona, Jerry
2018
Lipman Bers and partial differential equations. Zbl 1361.35006
Nirenberg, Louis
2015
Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044
Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis
2013
Some remarks on singular solutions of nonlinear elliptic equations. II: Symmetry and monotonicity via moving planes. Zbl 1325.35044
Caffarelli, Luis; Li, YanYan; Nirenberg, Louis
2012
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 1316.35217
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
2012
On singular solutions of nonlinear elliptic and parabolic equations. Zbl 1226.35028
Nirenberg, Louis
2011
Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067
Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes
2011
Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068
Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis
2009
Partial results on extending the Hopf Lemma. Zbl 1196.35062
Li, Yan Yan; Nirenberg, Louis
2009
A remark on Ky Fan’s minimax principle. Zbl 1225.49014
Brézis, H.; Nirenberg, L.; Stampacchia, G.
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
2007
A geometric problem and the Hopf lemma. II. Zbl 1149.53302
Li, YanYan; Nirenberg, Louis
2006
A geometric problem and the Hopf lemma. I. Zbl 1113.53003
Li, YanYan; Nirenberg, Louis
2006
Generalization of a well-known inequality. Zbl 1284.26021
Li, YanYan; Nirenberg, Louis
2006
The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations. Zbl 1062.49021
Li, YanYan; Nirenberg, Louis
2005
Regularity in an unusual variational problem. Zbl 1113.49041
Ekeland, Ivar; Nirenberg, Louis
2005
The distance function to the boundary and singular set of viscosity solutions of Hamilton-Jacobi equation. Zbl 1387.35106
Nirenberg, L.
2005
Abstract and applied analysis. Proceedings of the international conference, Hanoi, Vietnam, August 13–17, 2002. Zbl 1058.00011
2004
Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327
Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural&rsquo;tseva, Nina; Vishik, Mark
2004
Estimates for elliptic systems from composite material. Zbl 1125.35339
Li, YanYan; Nirenberg, Louis
2003
A convex Darboux theorem. Zbl 1082.58501
Ekeland, Ivar; Nirenberg, Louis
2002
Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023
Nirenberg, Louis
2001
Variational methods in nonlinear problems. Zbl 0980.58005
Nirenberg, L.
2000
Degree and Sobolev spaces. Zbl 0956.46024
Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis
1999
The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083
Li, Yanyan; Nirenberg, Louis
1998
Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513
Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis
1997
Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
1997
Removable singularities for nonlinear elliptic equations. Zbl 0905.35027
Brézis, Haïm; Nirenberg, Louis
1997
Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
1996
Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017
Brézis, Haïm; Nirenberg, Louis
1996
Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010
Brézis, Haïm; Nirenberg, Louis
1995
Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
1995
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
1994
Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030
Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L.
1994
Partial differential equations in the first half of the century. Zbl 0807.01017
Nirenberg, Louis
1994
H$$^ 1$$ versus C$$^ 1$$ local minimizers. Zbl 0803.35029
Brézis, Haïm; Nirenberg, Louis
1993
Symmetry for elliptic equations in a half space. Zbl 0793.35034
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
1993
Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
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 0798.35038
Berestycki, Henri; Nirenberg, Louis; Varadhan, Srinivasa
1993
Travelling fronts in cylinders. Zbl 0799.35073
Berestycki, Henri; Nirenberg, Louis
1992
On the maximum principle. Videotape. Zbl 0790.35001
Nirenberg, Louis
1992
On the method of moving planes and the sliding method. Zbl 0784.35025
Berestycki, H.; Nirenberg, L.
1991
Remarks on finding critical points. Zbl 0751.58006
Brézis, Haïm; Nirenberg, Louis
1991
Asymptotic behaviour via the Harnack inequality. Zbl 0840.35011
Berestycki, H.; Nirenberg, L.
1991
Travelling front solutions of semilinear equations in $$n$$ dimensions. Zbl 0780.35054
Berestycki, H.; Nirenberg, L.
1991
Uniform estimates for regularization of free boundary problems. Zbl 0702.35252
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
1990
Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004
Berestycki, H.; Nirenberg, L.
1990
A minimization problem with critical exponent and nonzero data. Zbl 0763.46023
Brézis, Haïm; Nirenberg, Louis
1989
On fully nonlinear elliptic equations of second order. Zbl 0778.35035
Nirenberg, L.
1989
Variational methods in nonlinear problems. Zbl 0679.58021
Nirenberg, L.
1989
Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028
Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel
1988
Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031
Berestycki, H.; Nirenberg, L.
1988
On a form of Bernstein’s theorem. Zbl 0668.35028
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1988
Fully nonlinear elliptic equations. Zbl 0685.35045
Nirenberg, L.
1988
The Dirichlet problem for the degenerate Monge-Ampère equation. Zbl 0611.35029
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1987
Correction to: The Dirichlet problem for nonlinear second-order elliptic equations. I. Monge-Ampère equation. Zbl 0641.35025
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1987
Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1986
The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian. Zbl 0654.35031
Caffarelli, L.; Nirenberg, L.; Spruck, J.
1985
The Dirichlet problem for nonlinear second-order elliptic equations. II: Complex Monge-Ampère, and uniformly elliptic, equations. Zbl 0598.35048
Caffarelli, L.; Kohn, J. J.; Nirenberg, Louis; Spruck, J.
1985
Uniqueness in the Cauchy problem for a degenerate elliptic second order equation. Zbl 0572.35043
Nirenberg, Louis
1985
First order interpolation inequalities with weights. Zbl 0563.46024
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
1984
The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047
Caffarelli, L.; Nirenberg, Louis; Spruck, J.
1984
Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0541.35029
Brézis, Haïm; Nirenberg, Louis
1983
Variational and topological methods in nonlinear problems. Zbl 0524.47041
Nirenberg, Louis
1983
Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
1982
Symmetry of positive solutions of nonlinear elliptic equations in $$\mathbb R^n$$. Zbl 0469.35052
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1981
Variational and topological methods in nonlinear problems. Zbl 0468.47040
Nirenberg, Louis
1981
Comments on nonlinear problems (with an appendix by Lin Changshou). Zbl 0544.58005
Nirenberg, Louis
1981
Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057
Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis
1980
Local boundary regularity of holomorphic mappings. Zbl 0436.32018
Nirenberg, Louis; Webster, S.; Yang, P.
1980
Symmetry and related properties via the maximum principle. Zbl 0425.35020
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1979
Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
1979
Non-linear problems in geometry. Conference held at Katata, September 3–8, 1979. Proceedings of the 6th international Taniguchi symposium. Zbl 0433.53002
1979
Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035
Brézis, Haïm; Nirenberg, Louis
1978
Forced vibrations for a nonlinear wave equation. Zbl 0378.35040
Brézis, Haïm; Nirenberg, Louis
1978
The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023
Pogorelov, Aleksey Vasil&rsquo;yevich
1978
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
1978
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
1978
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
1978
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
1978
Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090
Kinderlehrer, David; Nirenberg, Louis
1978
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
1977
Topics in nonlinear functional analysis. (Lektsii po nelinejnomu funktsional’nomu analizu). Transl. from the English by N. D. Vvedenskaya. Zbl 0426.47034
Nirenberg, Louis
1977
Some first order nonlinear equations on torus. Zbl 0335.35028
Brézis, Haïm; Nirenberg, Louis
1977
Image d’une somme d’opérateurs non linéaires et applications. Zbl 0359.47035
Brézis, Haïm; Nirenberg, Louis
1977
Regularity of free boundaries. Zbl 0361.35012
Nirenberg, Louis
1977
Nonlinear differential equations invariant under certain geometric transformations. Zbl 0357.35034
Nirenberg, Louis
1976
Propagation of singularities for linear partial differential equtions and reflections at a boundary. Zbl 0335.35081
Nirenberg, Louis
1976
Monge-Ampère equations and some associated problems in geometry. Zbl 0335.35045
Nirenberg, Louis
1975
Topics in nonlinear functional analysis. Notes by R. A. Artino. Zbl 0286.47037
Nirenberg, Louis
1974
Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018
Loewner, Charles; Nirenberg, Louis
1974
On a question of Hans Lewy. Zbl 0305.35017
Nirenberg, Louis
1974
Contributions to analysis. A collection of papers dedicated to Lipman Bers. Zbl 0283.00007
1974
Lectures on linear partial differential equations. Zbl 0267.35001
Nirenberg, Louis
1973
The null spaces of elliptic partial differential operators in R$$^n$$. Zbl 0272.35029
Nirenberg, Louis; Walker, Homer F.
1973
A pseudo-convex domain not admitting a holomorphic support function. Zbl 0248.32013
Kohn, J. J.; Nirenberg, Louis
1973
A remark on Ky Fan’s minimax principle. Zbl 0264.49013
Brézis, Haïm; Nirenberg, Louis; Stampacchia, Guido
1972
An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001
Nirenberg, Louis
1972
A correction to: On local solvability of linear partial differential equations. II: Sufficient conditions. Zbl 0221.35019
Nirenberg, Louis; Treves, J. F.
1971
A proof of the Malgrange preparation theorem. Zbl 0212.10702
Nirenberg, Louis
1971
...and 47 more Documents
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
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### Cited in 577 Serials

 799 Journal of Differential Equations 696 Journal of Mathematical Analysis and Applications 571 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 382 Archive for Rational Mechanics and Analysis 363 Calculus of Variations and Partial Differential Equations 347 Journal of Functional Analysis 284 Communications in Partial Differential Equations 271 Transactions of the American Mathematical Society 256 Nonlinear Analysis. Theory, Methods & Applications 219 Proceedings of the American Mathematical Society 192 Annali di Matematica Pura ed Applicata. Serie Quarta 190 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 182 Mathematische Annalen 177 Mathematische Zeitschrift 170 Communications in Mathematical Physics 160 Advances in Mathematics 155 Journal of Mathematical Sciences (New York) 147 The Journal of Geometric Analysis 147 Discrete and Continuous Dynamical Systems 145 Journal de Mathématiques Pures et Appliquées. Neuvième Série 126 Applicable Analysis 123 Communications on Pure and Applied Analysis 110 Communications in Contemporary Mathematics 107 Journal of Mathematical Physics 102 ZAMP. Zeitschrift für angewandte Mathematik und Physik 101 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 97 Journal d’Analyse Mathématique 97 Nonlinear Analysis. Real World Applications 94 Siberian Mathematical Journal 90 Duke Mathematical Journal 90 Manuscripta Mathematica 88 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 88 Boundary Value Problems 85 Advanced Nonlinear Studies 85 Complex Variables and Elliptic Equations 79 NoDEA. Nonlinear Differential Equations and Applications 78 Mathematical Methods in the Applied Sciences 78 Applied Mathematics Letters 77 Comptes Rendus. Mathématique. Académie des Sciences, Paris 75 Mathematical Notes 75 SIAM Journal on Mathematical Analysis 73 Inventiones Mathematicae 68 Journal of Mathematical Fluid Mechanics 68 Science China. Mathematics 65 Annales de l’Institut Fourier 64 Applied Mathematics and Computation 58 Communications on Pure and Applied Mathematics 58 Bulletin of the American Mathematical Society 56 Computers & Mathematics with Applications 55 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 53 Acta Mathematica 51 Journal of Soviet Mathematics 49 Abstract and Applied Analysis 49 Acta Mathematica Sinica. English Series 48 Advances in Nonlinear Analysis 46 Mathematische Nachrichten 46 Acta Applicandae Mathematicae 44 Discrete and Continuous Dynamical Systems. Series B 42 Numerische Mathematik 41 Ukrainian Mathematical Journal 40 Rendiconti del Seminario Matematico della Università di Padova 39 Bulletin of the American Mathematical Society. New Series 38 Proceedings of the Japan Academy. Series A 38 Topological Methods in Nonlinear Analysis 38 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 38 Journal of the European Mathematical Society (JEMS) 38 Journal of Fixed Point Theory and Applications 36 Israel Journal of Mathematics 36 Nonlinearity 36 Mathematics of Computation 36 Tôhoku Mathematical Journal. Second Series 36 Journal of Dynamics and Differential Equations 35 Journal of Computational and Applied Mathematics 35 Zeitschrift für Analysis und ihre Anwendungen 34 Journal of Optimization Theory and Applications 33 Chinese Annals of Mathematics. Series B 33 Physica D 33 Journal of Inequalities and Applications 32 Rocky Mountain Journal of Mathematics 32 Results in Mathematics 32 Potential Analysis 32 Milan Journal of Mathematics 31 Applied Mathematics and Optimization 31 Revista Matemática Iberoamericana 31 Journal of Function Spaces 30 Bulletin of the Australian Mathematical Society 30 Journal für die Reine und Angewandte Mathematik 30 Annals of Global Analysis and Geometry 30 St. Petersburg Mathematical Journal 29 Publications of the Research Institute for Mathematical Sciences, Kyoto University 29 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 29 Acta Mathematica Scientia. Series B. (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
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### 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)

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