×

Nirenberg, Louis (b. 1925 d. 2020)

Author ID: nirenberg.louis Recent zbMATH articles by "Nirenberg, Louis"
Published as: Nirenberg, Louis; Nirenberg, L.
Homepage: https://math.nyu.edu/~nirenl/
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Awards: Crafoord Prize (1982) · Chern Medal (2010) · Abel Prize (2015)
all top 5

Co-Authors

75 single-authored
21 Berestycki, Henri
18 Caffarelli, Luis Ángel
17 Brézis, Haïm
15 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
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
1 McKean, Henry P. jun.
...and 54 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

Publications by Year

Citations contained in zbMATH Open

156 Publications have been cited 19,099 times in 15,548 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, L.
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
On functions of bounded mean oscillation. Zbl 0102.04302
John, Fritz; Nirenberg, Louis
831
1961
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
814
1964
Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
735
1982
First order interpolation inequalities with weights. Zbl 0563.46024
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
627
1984
Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
619
1981
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.
465
1985
On the method of moving planes and the sliding method. Zbl 0784.35025
Berestycki, H.; Nirenberg, L.
398
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.
367
1994
Topics in nonlinear functional analysis. Notes by R. A. Artino. Zbl 0286.47037
Nirenberg, Louis
325
1974
The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047
Caffarelli, L.; Nirenberg, Louis; Spruck, J.
320
1984
Complex analytic coordinates in almost complex manifolds. Zbl 0079.16102
Newlander, A.; Nirenberg, Louis
288
1957
Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018
Loewner, Charles; Nirenberg, Louis
242
1974
An algebra of pseudo-differential operators. Zbl 0171.35101
Kohn, J. J.; Nirenberg, Louis
240
1965
Remarks on finding critical points. Zbl 0751.58006
Brézis, Haïm; Nirenberg, Louis
230
1991
The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023
Pogorelov, Aleksey Vasil’yevich
227
1978
An extended interpolation inequality. Zbl 0163.29905
Nirenberg, Louis
224
1966
Non-coercive boundary value problems. Zbl 0125.33302
Kohn, J. J.; Nirenberg, Louis
219
1965
The Weyl and Minkowski problems in differential geometry in the large. Zbl 0051.12402
Nirenberg, Louis
209
1953
Remarks on strongly elliptic partial differential equations. Zbl 0067.07602
Nirenberg, Louis
204
1955
Travelling fronts in cylinders. Zbl 0799.35073
Berestycki, Henri; Nirenberg, Louis
191
1992
Properties of solutions of ordinary differential equations in Banach space. Zbl 0117.10001
Agmon, S.; Nirenberg, Louis
190
1963
Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035
Brézis, Haïm; Nirenberg, Louis
189
1978
H\(^ 1\) versus C\(^ 1\) local minimizers. Zbl 0803.35029
Brézis, Haïm; Nirenberg, Louis
189
1993
Interior estimates for elliptic systems of partial differential equations. Zbl 0066.08002
Douglis, Avron; Nirenberg, Louis
186
1955
Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023
Nirenberg, Louis
181
2001
Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010
Brézis, Haïm; Nirenberg, Louis
167
1995
Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513
Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis
162
1997
Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
162
1997
Estimates for elliptic systems from composite material. Zbl 1125.35339
Li, YanYan; Nirenberg, Louis
160
2003
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.
157
1985
Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030
Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L.
146
1994
A remark on Ky Fan’s minimax principle. Zbl 0264.49013
Brézis, Haïm; Nirenberg, Louis; Stampacchia, Guido
144
1972
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
142
1977
Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
137
1995
On spherical image maps whose Jacobians do not change sign. Zbl 0094.16303
Hartman, Philip; Nirenberg, Louis
127
1959
Lectures on linear partial differential equations. Zbl 0267.35001
Nirenberg, Louis
123
1973
Degenerate elliptic-parabolic equations of second order. Zbl 0153.14503
Kohn, J. J.; Nirenberg, Louis
118
1967
An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001
Nirenberg, Louis
116
1972
Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057
Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis
115
1980
On nonlinear elliptic partial differential equations and Hölder continuity. Zbl 0050.09801
Nirenberg, Louis
106
1953
On the analycity of the solutions of linear elliptic systems of partial differential equations. Zbl 0082.09402
Morrey, C. B. jun.; Nirenberg, Louis
104
1957
Forced vibrations for a nonlinear wave equation. Zbl 0378.35040
Brézis, Haïm; Nirenberg, Louis
96
1978
Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
95
1996
A strong maximum principle for parabolic equations. Zbl 0050.09601
Nirenberg, Louis
94
1953
The null spaces of elliptic partial differential operators in R\(^n\). Zbl 0272.35029
Nirenberg, Louis; Walker, Homer F.
90
1973
Solvability of a first order linear partial differential equation. Zbl 0117.06104
Nirenberg, Louis; Trèves, François
89
1963
Variational and topological methods in nonlinear problems. Zbl 0468.47040
Nirenberg, Louis
87
1981
Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028
Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel
86
1988
Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004
Berestycki, H.; Nirenberg, L.
80
1990
Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031
Berestycki, H.; Nirenberg, L.
76
1988
Uniform estimates for regularization of free boundary problems. Zbl 0702.35252
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
75
1990
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
72
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
67
2005
Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027
Caffarelli, L.; Nirenberg, L.; Spruck, J.
67
1986
The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083
Li, Yanyan; Nirenberg, Louis
66
1998
A pseudo-convex domain not admitting a holomorphic support function. Zbl 0248.32013
Kohn, J. J.; Nirenberg, Louis
63
1973
Intrinsic norms on a complex manifold. Zbl 0202.11603
Chern, S. S.; Levine, H. I.; Nirenberg, Louis
59
1969
Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space. Zbl 0147.34603
Agmon, S.; Nirenberg, Louis
59
1967
On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801
Lax, Peter D.; Nirenberg, Louis
56
1966
On local solvability of linear partial differential equations. I: Necessary conditions. Zbl 0191.39103
Nirenberg, Louis; Trèves, François
56
1970
Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017
Brézis, Haïm; Nirenberg, Louis
56
1996
On the existence of deformations of complex analytic structures. Zbl 0088.38004
Kodaira, Kunihiko; Nirenberg, Louis; Spencer, D. C.
50
1958
On local solvability of linear partial differential equations. Part II: Sufficient conditions. Zbl 0208.35902
Nirenberg, Louis; Trèves, François
49
1970
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.
49
1953
Some remarks on singular solutions of nonlinear elliptic equations. III: Viscosity solutions including parabolic operators. Zbl 1279.35044
Caffarelli, Luis; Li, Yanyan; Nirenberg, Louis
47
2013
Symmetry for elliptic equations in a half space. Zbl 0793.35034
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
46
1993
Uniqueness in Cauchy problems for differential equations with constant leading coefficients. Zbl 0077.09402
Nirenberg, Louis
45
1957
Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068
Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis
40
2009
On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications. Zbl 0067.32503
Bers, Lipman; Nirenberg, Louis
40
1955
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
39
1962
A minimization problem with critical exponent and nonzero data. Zbl 0763.46023
Brézis, Haïm; Nirenberg, Louis
37
1989
Topics in nonlinear functional analysis. (Lektsii po nelinejnomu funktsional’nomu analizu). Transl. from the English by N. D. Vvedenskaya. Zbl 0426.47034
Nirenberg, Louis
35
1977
Local boundary regularity of holomorphic mappings. Zbl 0436.32018
Nirenberg, Louis; Webster, S.; Yang, P.
33
1980
On a theorem of P. Nowosad. Zbl 0165.45802
Karlin, S.; Nirenberg, Louis
32
1967
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
30
1978
The Dirichlet problem for the degenerate Monge-Ampère equation. Zbl 0611.35029
Caffarelli, L.; Nirenberg, L.; Spruck, J.
30
1987
Estimates and existence of solutions of elliptic equations. Zbl 0070.32301
Nirenberg, Louis
27
1956
On a question of Hans Lewy. Zbl 0305.35017
Nirenberg, Louis
26
1974
Removable singularities for nonlinear elliptic equations. Zbl 0905.35027
Brézis, Haïm; Nirenberg, Louis
26
1997
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
25
1978
On a generalization of quasi-conformal mappings and its application to elliptic partial differential equations. Zbl 0057.08604
Nirenberg, Louis
24
1954
On elliptic partial differential equations. Zbl 0108.10001
Nirenberg, Louis
24
1960
On linear and non-linear elliptic boundary value problems in the plane. Zbl 0067.32504
Bers, Lipman; Nirenberg, Louis
23
1955
A correction to: On local solvability of linear partial differential equations. II: Sufficient conditions. Zbl 0221.35019
Nirenberg, Louis; Treves, J. F.
22
1971
An application of generalized degree to a class of nonlinear problems. Zbl 0317.35036
Nirenberg, Louis
21
1971
Pseudo-differential operators. Zbl 0206.13902
21
1969
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
21
2012
A proof of the Malgrange preparation theorem. Zbl 0212.10702
Nirenberg, Louis
19
1971
A complex Frobenius theorem. Zbl 0099.37502
Nirenberg, Louis
18
1958
Contributions to analysis. A collection of papers dedicated to Lipman Bers. Zbl 0283.00007
17
1974
Degree and Sobolev spaces. Zbl 0956.46024
Brézis, 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 0820.35056
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
16
1993
Variational methods in nonlinear problems. Zbl 0980.58005
Nirenberg, L.
16
2000
Pseudo-differential operators. Zbl 0218.35075
Nirenberg, Louis
15
1970
Monge-Ampère equations and some associated problems in geometry. Zbl 0335.35045
Nirenberg, Louis
14
1975
Generalized degree and nonlinear problems. Zbl 0267.47034
Nirenberg, Louis
14
1971
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
Felix Browder (1927–2016). Zbl 1406.35004
Brezis, Haïim; Nussbaum, Roger D.; Cohen, Amy; Beals, Richard; Mawhin, Jean; Teman, Roger; Nirenberg, Louis; Berestycki, Henri; Mastrian, Barbara; Chanillo, Sagun; Lebowitz, Joel; Roberts, Fred; Bona, Jerry
1
2018
Ad honorem Charles Fefferman. Zbl 1377.01024
Córdoba, 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 1361.35006
Nirenberg, Louis
1
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
47
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
21
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.
3
2012
On singular solutions of nonlinear elliptic and parabolic equations. Zbl 1226.35028
Nirenberg, Louis
4
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
2
2011
Some remarks on singular solutions of nonlinear elliptic equations. I. Zbl 1215.35068
Caffarelli, Luis; Li, Yan Yan; Nirenberg, Louis
40
2009
Partial results on extending the Hopf Lemma. Zbl 1196.35062
Li, Yan Yan; Nirenberg, Louis
7
2009
The Dirichlet problem for some fully nonlinear elliptic equations. Zbl 1494.35084
Nirenberg, Louis
1
2009
A remark on Ky Fan’s minimax principle. Zbl 1225.49014
Brézis, H.; Nirenberg, L.; Stampacchia, G.
5
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
3
2007
A geometric problem and the Hopf lemma. II. Zbl 1149.53302
Li, YanYan; Nirenberg, Louis
9
2006
A geometric problem and the Hopf lemma. I. Zbl 1113.53003
Li, YanYan; Nirenberg, Louis
7
2006
Generalization of a well-known inequality. Zbl 1284.26021
Li, 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 1062.49021
Li, YanYan; Nirenberg, Louis
67
2005
Regularity in an unusual variational problem. Zbl 1113.49041
Ekeland, Ivar; Nirenberg, Louis
1
2005
The distance function to the boundary and singular set of viscosity solutions of Hamilton-Jacobi equation. Zbl 1387.35106
Nirenberg, L.
1
2005
Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327
Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark
3
2004
Abstract and applied analysis. Proceedings of the international conference, Hanoi, Vietnam, August 13–17, 2002. Zbl 1058.00011
3
2004
Donald C. Spencer (1912–2001). Zbl 1159.01337
Kohn, Joseph J.; Griffiths, Phillip A.; Goldschmidt, Hubert; Bombieri, Enrico; Cenkl, Bohous; Garabedian, Paul; Nirenberg, Louis
1
2004
Estimates for elliptic systems from composite material. Zbl 1125.35339
Li, YanYan; Nirenberg, Louis
160
2003
A convex Darboux theorem. Zbl 1082.58501
Ekeland, Ivar; Nirenberg, Louis
7
2002
Topics in nonlinear functional analysis. Notes by Ralph A. Artino. Revised reprint of the 1974 original. Zbl 0992.47023
Nirenberg, Louis
181
2001
Variational methods in nonlinear problems. Zbl 0980.58005
Nirenberg, L.
16
2000
Degree and Sobolev spaces. Zbl 0956.46024
Brézis, Haïm; Li, Yanyan; Mironescu, Petru; Nirenberg, Louis
16
1999
The Dirichlet problem for singularly perturbed elliptic equations. Zbl 0933.35083
Li, Yanyan; Nirenberg, Louis
66
1998
Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513
Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis
162
1997
Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
162
1997
Removable singularities for nonlinear elliptic equations. Zbl 0905.35027
Brézis, Haïm; Nirenberg, Louis
26
1997
Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
95
1996
Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu). Zbl 0868.58017
Brézis, Haïm; Nirenberg, Louis
56
1996
Degree theory of BMO. I: Compact manifolds without boundaries. Zbl 0852.58010
Brézis, Haïm; Nirenberg, Louis
167
1995
Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
137
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.
367
1994
Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030
Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L.
146
1994
Partial differential equations in the first half of the century. Zbl 0807.01017
Nirenberg, Louis
3
1994
H\(^ 1\) versus C\(^ 1\) local minimizers. Zbl 0803.35029
Brézis, Haïm; Nirenberg, Louis
189
1993
Symmetry for elliptic equations in a half space. Zbl 0793.35034
Berestycki, 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 0820.35056
Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis
16
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
1
1993
Travelling fronts in cylinders. Zbl 0799.35073
Berestycki, Henri; Nirenberg, Louis
191
1992
On the maximum principle. Videotape. Zbl 0790.35001
Nirenberg, Louis
1
1992
On the method of moving planes and the sliding method. Zbl 0784.35025
Berestycki, H.; Nirenberg, L.
398
1991
Remarks on finding critical points. Zbl 0751.58006
Brézis, Haïm; Nirenberg, Louis
230
1991
Asymptotic behaviour via the Harnack inequality. Zbl 0840.35011
Berestycki, H.; Nirenberg, L.
7
1991
Travelling front solutions of semilinear equations in \(n\) dimensions. Zbl 0780.35054
Berestycki, H.; Nirenberg, L.
6
1991
Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004
Berestycki, H.; Nirenberg, L.
80
1990
Uniform estimates for regularization of free boundary problems. Zbl 0702.35252
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L.
75
1990
A minimization problem with critical exponent and nonzero data. Zbl 0763.46023
Brézis, Haïm; Nirenberg, Louis
37
1989
Variational methods in nonlinear problems. Zbl 0679.58021
Nirenberg, L.
7
1989
On fully nonlinear elliptic equations of second order. Zbl 0778.35035
Nirenberg, L.
6
1989
Nonlinear second-order elliptic equations. V: The Dirichlet problem for Weingarten hypersurfaces. Zbl 0672.35028
Caffarelli, Luis; Nirenberg, Louis; Spruck, Joel
86
1988
Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031
Berestycki, H.; Nirenberg, L.
76
1988
On a form of Bernstein’s theorem. Zbl 0668.35028
Caffarelli, L.; Nirenberg, L.; Spruck, J.
10
1988
Fully nonlinear elliptic equations. Zbl 0685.35045
Nirenberg, L.
1
1988
The Dirichlet problem for the degenerate Monge-Ampère equation. Zbl 0611.35029
Caffarelli, L.; Nirenberg, L.; Spruck, J.
30
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.
8
1987
Nonlinear second order elliptic equations. IV. Starshaped compact Weingarten hypersurfaces. Zbl 0672.35027
Caffarelli, L.; Nirenberg, L.; Spruck, J.
67
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.
465
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.
157
1985
Uniqueness in the Cauchy problem for a degenerate elliptic second order equation. Zbl 0572.35043
Nirenberg, Louis
6
1985
First order interpolation inequalities with weights. Zbl 0563.46024
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
627
1984
The Dirichlet problem for nonlinear second-order elliptic equations. I: Monge-Ampère equation. Zbl 0598.35047
Caffarelli, L.; Nirenberg, Louis; Spruck, J.
320
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
2
1983
Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
735
1982
Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
619
1981
Variational and topological methods in nonlinear problems. Zbl 0468.47040
Nirenberg, Louis
87
1981
Comments on nonlinear problems (with an appendix by Lin Changshou). Zbl 0544.58005
Nirenberg, Louis
9
1981
Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. Zbl 0484.35057
Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis
115
1980
Local boundary regularity of holomorphic mappings. Zbl 0436.32018
Nirenberg, Louis; Webster, S.; Yang, P.
33
1980
Symmetry and related properties via the maximum principle. Zbl 0425.35020
Gidas, B.; Ni, Wei-Ming; Nirenberg, L.
1979
Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
8
1979
Non-linear problems in geometry. Conference held at Katata, September 3–8, 1979. Proceedings of the 6th international Taniguchi symposium. Zbl 0433.53002
5
1979
The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023
Pogorelov, Aleksey Vasil’yevich
227
1978
Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Zbl 0386.47035
Brézis, Haïm; Nirenberg, Louis
189
1978
Forced vibrations for a nonlinear wave equation. Zbl 0378.35040
Brézis, Haïm; Nirenberg, Louis
96
1978
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
72
1978
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
30
1978
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
25
1978
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
5
1978
Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090
Kinderlehrer, David; Nirenberg, Louis
4
1978
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
142
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
35
1977
Some first order nonlinear equations on torus. Zbl 0335.35028
Brézis, Haïm; Nirenberg, Louis
4
1977
Image d’une somme d’opérateurs non linéaires et applications. Zbl 0359.47035
Brézis, Haïm; Nirenberg, Louis
3
1977
Regularity of free boundaries. Zbl 0361.35012
Nirenberg, Louis
1
1977
Nonlinear differential equations invariant under certain geometric transformations. Zbl 0357.35034
Nirenberg, Louis
3
1976
Propagation of singularities for linear partial differential equations and reflections at a boundary. Zbl 0335.35081
Nirenberg, Louis
1
1976
Monge-Ampère equations and some associated problems in geometry. Zbl 0335.35045
Nirenberg, Louis
14
1975
Vorlesungen über lineare partielle Differentialgleichungen. Zbl 0311.35001
Nirenberg, Louis
5
1975
On a problem of Hans Lewy. Zbl 0306.35019
Nirenberg, Louis
2
1975
Topics in nonlinear functional analysis. Notes by R. A. Artino. Zbl 0286.47037
Nirenberg, Louis
325
1974
Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018
Loewner, Charles; Nirenberg, Louis
242
1974
On a question of Hans Lewy. Zbl 0305.35017
Nirenberg, Louis
26
1974
Contributions to analysis. A collection of papers dedicated to Lipman Bers. Zbl 0283.00007
17
1974
Lectures on linear partial differential equations. Zbl 0267.35001
Nirenberg, Louis
123
1973
...and 56 more Documents
all top 5

Cited by 11,094 Authors

86 Wei, Juncheng
70 Li, YanYan
69 Tang, Chun-Lei
66 Nazarov, Sergeĭ Aleksandrovich
60 Zou, Wenming
55 Papageorgiou, Nikolaos S.
55 Rădulescu, Vicenţiu D.
55 Yang, Dachun
54 Miyagaki, Olimpio Hiroshi
48 Berestycki, Henri
46 Brézis, Haïm
44 Hamel, François
43 Sciunzi, Berardino
39 Schechter, Martin
39 Zhong, Xin
38 Grossi, Massimo
37 Bao, Jiguang
37 Wang, Lihe
36 Dolbeault, Jean
36 Wang, Zhi-Qiang
35 García-Melián, Jorge
35 Maz’ya, Vladimir Gilelevich
35 Pacella, Filomena
34 Kang, Dongsheng
34 Valdinoci, Enrico
33 Byeon, Jaeyoung
33 Deng, Yinbin
33 Peng, Shuangjie
33 Van Schaftingen, Jean
33 Yang, Minbo
32 Cao, Daomin
32 Do Ó, João M. Bezerra
32 Korman, Philip L.
32 Lin, Chang-Shou
32 Shivaji, Ratnasingham
31 Alves, Claudianor Oliveira
31 Dancer, Edward Norman
31 Dong, Hongjie
31 Li, Congming
31 López-Gómez, Julián
31 Pistoia, Angela
30 Peral Alonso, Ireneo
29 Farina, Alberto
29 Han, Pigong
29 Li, Yi
29 Lu, Guozhen
29 Quaas, Alexander
29 Tang, Xianhua
28 Birindelli, Isabeau
28 Caffarelli, Luis Ángel
28 Figueiredo, Giovany Malcher
28 Guo, Zongming
28 Nirenberg, Louis
28 Wang, Xu-Jia
27 Byun, Sun-Sig
27 Friedman, Avner
27 Ruzhansky, Michael V.
27 Shakhmurov, Veli B.
27 Tan, Zhong
27 Zhang, Yinghui
26 Guedes de Figueiredo, Djairo
26 Niu, Pengcheng
26 Ragusa, Maria Alessandra
26 Wang, Yanqing
26 Xiao, Jie
25 Ivochkina, Nina Mikhaĭlovna
25 Li, Dongsheng
25 Sirakov, Boyan Slavchev
25 Trudinger, Neil Sidney
25 Weth, Tobias
25 Yan, Shusen
24 Du, Yihong
24 Guo, Yujin
24 Liao, Jiafeng
24 Montoro, Luigi
24 Rossi, Julio Daniel
24 Ruf, Bernhard
24 Shi, Junping
24 Su, Jiabao
23 Guo, Yuxia
23 Kukavica, Igor
23 Mironescu, Petru
23 Ryazanov, Vladimir Il’ich
23 Vitolo, Antonio
23 Zhang, Zhitao
22 Del Pino, Manuel A.
22 Musso, Monica
22 Ni, Wei-Ming
22 Trèves, François
22 Wang, Mingxin
22 Yang, Jianfu
22 Zheng, Pan
21 Esteban, Maria J.
21 Furtado, Marcelo Fernandes
21 Ghoussoub, Nassif A.
21 Guan, Pengfei
21 Hounie, Jorge G.
21 Lin, Fang Hua
21 McKenna, Patrick Joseph
21 Mu, Chunlai
...and 10,994 more Authors
all top 5

Cited in 657 Serials

986 Journal of Differential Equations
829 Journal of Mathematical Analysis and Applications
655 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
442 Calculus of Variations and Partial Differential Equations
431 Journal of Functional Analysis
403 Archive for Rational Mechanics and Analysis
285 Communications in Partial Differential Equations
284 Transactions of the American Mathematical Society
277 Nonlinear Analysis. Theory, Methods & Applications
240 Proceedings of the American Mathematical Society
232 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
218 Annali di Matematica Pura ed Applicata. Serie Quarta
216 The Journal of Geometric Analysis
208 Mathematische Annalen
201 Advances in Mathematics
191 Mathematische Zeitschrift
187 Mathematical Methods in the Applied Sciences
182 Communications in Mathematical Physics
180 Discrete and Continuous Dynamical Systems
178 Journal de Mathématiques Pures et Appliquées. Neuvième Série
173 Journal of Mathematical Sciences (New York)
158 Communications on Pure and Applied Analysis
156 Applicable Analysis
149 Journal of Mathematical Physics
134 Communications in Contemporary Mathematics
130 Nonlinear Analysis. Real World Applications
127 ZAMP. Zeitschrift für angewandte Mathematik und Physik
113 Boundary Value Problems
113 Complex Variables and Elliptic Equations
112 Journal d’Analyse Mathématique
109 SIAM Journal on Mathematical Analysis
106 Advanced Nonlinear Studies
104 NoDEA. Nonlinear Differential Equations and Applications
101 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
101 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
94 Manuscripta Mathematica
94 Siberian Mathematical Journal
94 Applied Mathematics Letters
91 Duke Mathematical Journal
88 Comptes Rendus. Mathématique. Académie des Sciences, Paris
85 Mathematische Nachrichten
85 Journal of Mathematical Fluid Mechanics
80 Applied Mathematics and Computation
80 Science China. Mathematics
76 Communications on Pure and Applied Mathematics
76 Mathematical Notes
75 Discrete and Continuous Dynamical Systems. Series B
74 Nonlinearity
74 Inventiones Mathematicae
66 Annales de l’Institut Fourier
66 Advances in Nonlinear Analysis
63 Computers & Mathematics with Applications
58 Bulletin of the American Mathematical Society
57 Acta Mathematica Sinica. English Series
55 Acta Applicandae Mathematicae
55 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
53 Acta Mathematica
52 Abstract and Applied Analysis
51 Journal of Soviet Mathematics
51 Topological Methods in Nonlinear Analysis
48 Journal of Fixed Point Theory and Applications
47 Ukrainian Mathematical Journal
47 Journal of Dynamics and Differential Equations
47 Potential Analysis
46 Physica D
46 Acta Mathematica Scientia. Series B. (English Edition)
45 Results in Mathematics
43 Numerische Mathematik
43 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
43 Journal of the European Mathematical Society (JEMS)
42 Revista Matemática Iberoamericana
41 Israel Journal of Mathematics
41 Bulletin of the American Mathematical Society. New Series
41 Mediterranean Journal of Mathematics
40 Applied Mathematics and Optimization
40 Journal of Computational and Applied Mathematics
40 Rendiconti del Seminario Matematico della Università di Padova
38 Proceedings of the Japan Academy. Series A
38 Tôhoku Mathematical Journal. Second Series
38 Zeitschrift für Analysis und ihre Anwendungen
38 Discrete and Continuous Dynamical Systems. Series S
37 Rocky Mountain Journal of Mathematics
37 Journal für die Reine und Angewandte Mathematik
37 Electronic Journal of Differential Equations (EJDE)
36 Mathematics of Computation
36 Chinese Annals of Mathematics. Series B
35 Milan Journal of Mathematics
35 Analysis & PDE
35 Journal of Function Spaces
34 Journal of Optimization Theory and Applications
33 Annals of Global Analysis and Geometry
33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
33 Journal of Inequalities and Applications
32 Czechoslovak Mathematical Journal
32 St. Petersburg Mathematical Journal
32 Journal of Evolution Equations
31 Bulletin of the Australian Mathematical Society
31 Indiana University Mathematics Journal
31 Differential Geometry and its Applications
30 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
...and 557 more Serials
all top 5

Cited in 61 Fields

11,581 Partial differential equations (35-XX)
1,735 Fluid mechanics (76-XX)
1,306 Operator theory (47-XX)
1,236 Global analysis, analysis on manifolds (58-XX)
1,155 Differential geometry (53-XX)
959 Functional analysis (46-XX)
780 Calculus of variations and optimal control; optimization (49-XX)
677 Several complex variables and analytic spaces (32-XX)
645 Ordinary differential equations (34-XX)
563 Harmonic analysis on Euclidean spaces (42-XX)
560 Numerical analysis (65-XX)
499 Biology and other natural sciences (92-XX)
484 Mechanics of deformable solids (74-XX)
422 Real functions (26-XX)
320 Dynamical systems and ergodic theory (37-XX)
259 Potential theory (31-XX)
241 Functions of a complex variable (30-XX)
226 Integral equations (45-XX)
200 Statistical mechanics, structure of matter (82-XX)
191 Quantum theory (81-XX)
176 Probability theory and stochastic processes (60-XX)
150 Optics, electromagnetic theory (78-XX)
129 Classical thermodynamics, heat transfer (80-XX)
124 Convex and discrete geometry (52-XX)
110 Relativity and gravitational theory (83-XX)
98 Operations research, mathematical programming (90-XX)
93 Systems theory; control (93-XX)
91 Abstract harmonic analysis (43-XX)
81 Topological groups, Lie groups (22-XX)
76 Manifolds and cell complexes (57-XX)
66 Algebraic geometry (14-XX)
64 Measure and integration (28-XX)
64 Mechanics of particles and systems (70-XX)
63 Difference and functional equations (39-XX)
58 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
54 Geophysics (86-XX)
52 Approximations and expansions (41-XX)
52 Algebraic topology (55-XX)
30 General topology (54-XX)
29 Astronomy and astrophysics (85-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
28 Integral transforms, operational calculus (44-XX)
25 History and biography (01-XX)
25 Computer science (68-XX)
23 Nonassociative rings and algebras (17-XX)
22 Information and communication theory, circuits (94-XX)
21 Geometry (51-XX)
17 General and overarching topics; collections (00-XX)
17 Special functions (33-XX)
16 Statistics (62-XX)
15 Number theory (11-XX)
13 Group theory and generalizations (20-XX)
11 Combinatorics (05-XX)
8 Associative rings and algebras (16-XX)
6 Commutative algebra (13-XX)
5 \(K\)-theory (19-XX)
4 Category theory; homological algebra (18-XX)
4 Sequences, series, summability (40-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
1 Order, lattices, ordered algebraic structures (06-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.