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Trudinger, Neil Sidney

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Published as: Trudinger, Neil S.; Trudinger, N. S.; Trudinger, Neil; Trudinger, Neil. S.
Homepage: https://researchers.anu.edu.au/researchers/trudinger-ns
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Serials

11 Bulletin of the Australian Mathematical Society
8 Archive for Rational Mechanics and Analysis
7 Mathematische Zeitschrift
4 Inventiones Mathematicae
4 Communications in Partial Differential Equations
4 Calculus of Variations and Partial Differential Equations
4 Discrete and Continuous Dynamical Systems
3 Communications on Pure and Applied Mathematics
3 Indiana University Mathematics Journal
3 Journal of Differential Equations
3 Journal of Functional Analysis
3 Journal of Global Optimization
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Oberwolfach Reports
3 Bulletin of Mathematical Sciences
2 Acta Mathematica
2 Duke Mathematical Journal
2 Journal für die Reine und Angewandte Mathematik
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Transactions of the American Mathematical Society
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Topological Methods in Nonlinear Analysis
2 Annals of Mathematics. Second Series
2 Bulletin of the American Mathematical Society
2 Journal of Mathematics and Mechanics
2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
2 Pure and Applied Mathematics Quarterly
2 Grundlehren der Mathematischen Wissenschaften
2 Proceedings of the Centre for Mathematical Analysis, Australian National University
1 Studia Mathematica
1 Mathematics of Computation
1 American Journal of Mathematics
1 Canadian Journal of Mathematics
1 Journal of Differential Geometry
1 Manuscripta Mathematica
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Tamkang Journal of Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 IMRN. International Mathematics Research Notices
1 Proceedings of the National Academy of Sciences of the United States of America
1 Bollettino della Unione Matemàtica Italiana. Serie VI. A
1 Journal of Partial Differential Equations
1 New Zealand Journal of Mathematics
1 Potential Analysis
1 Communications in Analysis and Geometry
1 Journal of Mathematical Sciences. University of Tokyo
1 Methods and Applications of Analysis
1 Taiwanese Journal of Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Classics in Mathematics

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 13,682 times in 11,555 Documents Cited by Year
Elliptic partial differential equations of second order. 2nd ed. Zbl 0562.35001
Gilbarg, David; Trudinger, Neil S.
1983
Elliptic partial differential equations of second order. Reprint of the 1998 ed. Zbl 1042.35002
Gilbarg, David; Trudinger, Neil S.
2001
Elliptic partial differential equations of second order. (Ehllipticheskie differentsial’nye uravneniya s chastnymi proizvodnymi vtorogo poryadka). Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. (Ehllipticheskie differentsial’nye uravneniya s chastnymi proizvodnymi vtorogo poryadka.) Zbl 0691.35001
Gilbarg, D.; Trudinger, N. S.
1989
Elliptic partial differential equations of second order. Zbl 0361.35003
Gilbarg, David; Trudinger, Neil S.
1977
On imbeddings into Orlicz spaces and some applications. Zbl 0163.36402
Trudinger, N. S.
611
1967
On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703
Trudinger, N. S.
382
1967
Remarks concerning the conformal deformation of Riemannian structures on compact manifolds. Zbl 0159.23801
Trudinger, N. S.
297
1968
Orlicz-Sobolev spaces and imbedding theorems. Zbl 0216.15702
Donaldson, T. K.; Trudinger, N. S.
152
1971
Linear elliptic operators with measurable coefficients. Zbl 0279.35025
Trudinger, Neil S.
140
1973
On the Dirichlet problem for Hessian equations. Zbl 0887.35061
Trudinger, Neil S.
137
1995
Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035
Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia
133
2005
Pointwise estimates and quasilinear parabolic equations. Zbl 0159.39303
Trudinger, N. S.
121
1968
Hessian measures. II. Zbl 0947.35055
Trudinger, Neil S.; Wang, Xu-Jia
115
1999
The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018
Trudinger, Neil S.
92
1990
The Monge-Ampère equation and its applications. Zbl 1156.35033
Trudinger, Neil S.; Wang, Xu-Jia
89
2008
On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023
Trudinger, Neil S.; Wang, Xu-Jia
84
2002
Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047
Lieberman, Gary M.; Trudinger, Neil S.
82
1986
The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021
Trudinger, Neil S.; Wang, Xu-Jia
76
2000
Hessian measures. I. Zbl 0915.35039
Trudinger, Neil S.; Wang, Xu-Jia
68
1997
Weak solutions of Hessian equations. Zbl 0883.35035
Trudinger, Neil S.
67
1997
On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134
Trudinger, Neil S.; Wang, Xu-Jia
62
2009
Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046
Trudinger, Neil S.; Wang, Xu-Jia
61
2008
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
61
1984
Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations. Zbl 0453.35028
Trudinger, Neil S.
60
1980
Fully nonlinear, uniformly elliptic equations under natural structure conditions. Zbl 0518.35036
Trudinger, Neil S.
55
1983
The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027
Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E.
53
1986
The Yamabe problem for higher order curvatures. Zbl 1133.53035
Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia
52
2007
Hessian measures. III. Zbl 1119.35325
Trudinger, Neil S.; Wang, Xu-Jia
47
2002
On the Monge mass transfer problem. Zbl 1010.49030
Trudinger, Neil S.; Wang, Xu-Jia
46
2001
On the regularity of generalized solutions of linear, non-uniformly elliptic equations. Zbl 0218.35035
Trudinger, N. S.
46
1971
On some inequalities for elementary symmetric functions. Zbl 0855.26006
Lin, Mi; Trudinger, Neil S.
45
1994
Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007
Trudinger, Neil S.
44
1988
On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442
Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia
39
1999
On new isoperimetric inequalities and symmetrization. Zbl 0883.52006
Trudinger, Neil S.
39
1997
The Dirichlet problem for the equation of prescribed Gauss curvature. Zbl 0524.35047
Trudinger, Neil S.; Urbas, John I. E.
38
1983
The affine Plateau problem. Zbl 1229.53049
Trudinger, Neil S.; Wang, Xu-Jia
38
2005
On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038
Trudinger, Neil S.; Wang, Xu-Jia
37
2009
Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026
Trudinger, Neil S.
34
1988
Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001
Trudinger, Neil S.
30
1994
Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142
Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia
30
2010
Discrete methods for fully nonlinear elliptic equations. Zbl 0745.65058
Kuo, Hung-Ju; Trudinger, Neil S.
30
1992
The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418
Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia
30
2004
On the sharpness of a limiting case of the Sobolev imbedding theorem. Zbl 0205.12801
Hempel, J. A.; Morris, G. R.; Trudinger, N. S.
30
1970
Affine complete locally convex hypersurfaces. Zbl 1071.53008
Trudinger, Neil S.; Wang, Xu-Jia
29
2002
Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation. Zbl 0593.35046
Lions, Pierre-Louis; Trudinger, N. S.
29
1986
Recent developments in elliptic partial differential equations of Monge–Ampère type. Zbl 1130.35058
Trudinger, Neil S.
27
2006
Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014
Luo, Yousong; Trudinger, Neil S.
26
1991
On second derivative estimates for equations of Monge-Ampère type. Zbl 0557.35054
Trudinger, Neil S.; Urbas, John I. E.
25
1984
A Poincaré type inequality for Hessian integrals. Zbl 0927.58013
Trudinger, Neil S.; Wang, Xu-Jia
24
1998
Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005
Kuo, Hung-Ju; Trudinger, Neil S.
24
1990
On the local theory of prescribed Jacobian equations. Zbl 1279.35052
Trudinger, Neil S.
23
2014
Gradient estimates and mean curvature. Zbl 0253.53003
Trudinger, Neil S.
22
1973
Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients. Zbl 0379.35022
Trudinger, Neil S.
21
1977
On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028
Trudinger, Neil S.
21
1987
On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023
Jiang, Feida; Trudinger, Neil S.
20
2014
On the Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131
Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping
20
2014
An imbedding theorem for H\(^\circ\)(G,\(\Omega\)) spaces. Zbl 0247.46052
Trudinger, Neil S.
18
1974
On the twice differentiability of viscosity solutions of nonlinear elliptic equations. Zbl 0706.35031
Trudinger, Neil S.
18
1989
On locally convex hypersurfaces with boundary. Zbl 1020.53002
Trudinger, Neil S.; Wang, Xu-Jia
17
2002
Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058
Jiang, Feida; Trudinger, Neil S.
17
2017
Quasilinear elliptic equations with signed measure. Zbl 1154.35351
Trudinger, Neil S.; Wang, Xu-Jia
16
2009
On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317
Liu, Jiakun; Trudinger, Neil S.
16
2010
Positive difference operators on general meshes. Zbl 0859.39009
Kuo, Hung-Ju; Trudinger, Neil S.
15
1996
On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027
Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping
15
2015
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327
Trudinger, Neil S.; Wang, Xu-Jia
15
2009
A priori bounds and necessary conditions for solvability of prescribed curvature equations. Zbl 0703.35070
Trudinger, Neil S.
15
1990
A form of Alexandrov-Fenchel inequality. Zbl 1230.52020
Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua
15
2010
Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003
Trudinger, Neil S.; Wang, Xu-Jia
13
2002
The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033
Trudinger, Neil S.; Wang, Xu-Jia
13
2010
The boundary gradient estimate for quasilinear elliptic and parabolic differential equations. Zbl 0236.35022
Trudinger, Neil S.
12
1972
Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116
Jiang, Feida; Trudinger, Neil S.
12
2018
The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016
Lin, Mi; Trudinger, Neil S.
11
1994
On the comparison principle for quasilinear divergence structure equations. Zbl 0311.35046
Trudinger, Neil S.
11
1974
A new proof of the interior gradient bound for the minimal surface equation in n dimensions. Zbl 0231.53007
Trudinger, Neil S.
11
1972
Harnack inequalities for nonuniformly elliptic divergence structure equations. Zbl 0501.35012
Trudinger, Neil S.
10
1981
Regularity of solutions of fully nonlinear elliptic equations. Zbl 0559.35030
Trudinger, Neil S.
10
1984
On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064
Jiang, Feida; Trudinger, Neil S.; Xiang, Ni
10
2016
Local estimates for parabolic difference operators. Zbl 0846.39007
Kuo, Hung-Ju; Trudinger, Neil S.
9
1995
Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089
Kuo, Hung-Ju; Trudinger, Neil S.
9
1998
A note on the discrete Aleksandrov-Bakelman maximum principle. Zbl 0963.65107
Kuo, Hung-Ju; Trudinger, Neil S.
9
2000
On the discrete maximum principle for parabolic difference operators. Zbl 0787.65059
Kuo, Hung-Ju; Trudinger, N. S.
9
1993
On an interpolation inequality and its applications to nonlinear elliptic equations. Zbl 0579.35029
Trudinger, Neil S.
8
1985
On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099
Jiang, Feida; Trudinger, Neil S.
8
2018
On the classical solvability of near field reflector problems. Zbl 1322.35133
Trudinger, Neil; Liu, Jiakun
8
2016
On the positivity of weak supersolutions of non-uniformly elliptic equations. Zbl 0415.35029
Trudinger, Neil S.
7
1978
New maximum principles for linear elliptic equations. Zbl 1171.35030
Kuo, Hung-Ju; Trudinger, Neil S.
6
2007
Quasilinear second order elliptic equations with Venttsel boundary conditions. Zbl 0823.35059
Luo, Yousong; Trudinger, Neil S.
6
1994
On the analyticity of generalized minimal surfaces. Zbl 0231.35014
Trudinger, Neil S.
6
1971
On the Dirichlet problem for quasilinear uniformly elliptic equations in n variables. Zbl 0165.12502
Trudinger, N. S.
6
1967
Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070
Jiang, Feida; Trudinger, Neil S.
6
2019
On asymptotic behaviour and \(W^{2, p}\) regularity of potentials in optimal transportation. Zbl 1309.35183
Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia
5
2015
The Dirichlet problem for the prescibed curvature quotient equations with general boundary values. Zbl 0938.35060
Ivochkina, Nina M.; Lin, Mi; Trudinger, Neil S.
5
1996
Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
5
2006
Generalized solutions of quasilinear, differential inequalities. I: Elliptic operators. Zbl 0235.35013
Trudinger, Neil S.
5
1971
On regularity and existence of viscosity solutions of nonlinear second order, elliptic equations. Zbl 0698.35056
Trudinger, Neil S.
5
1989
The \(k\)-Yamabe problem. Zbl 1382.53013
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
5
2012
On Hessian measures for non-commuting vector fields. Zbl 1172.35395
Trudinger, Neil S.
4
2006
Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008
Sheng, Weimin; Trudinger, Neil; Wang, Xujia
4
2004
A note on global regularity in optimal transportion. Zbl 1283.35051
Trudinger, Neil S.
4
2013
Lipschitz continuous solutions of elliptic equations of the form \({\mathcal A} (Du)D^ 2u = 0\). Zbl 0174.15801
Trudinger, N. S.
4
1969
Weak formulation of the MTW condition and convexity properties of potentials. Zbl 07402088
Loeper, Grégoire; Trudinger, Neil S.
1
2021
On the Dirichlet problem for general augmented Hessian equations. Zbl 1441.35136
Jiang, Feida; Trudinger, Neil S.
3
2020
From optimal transportation to conformal geometry. Zbl 1447.35157
Trudinger, Neil S.
1
2020
Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070
Jiang, Feida; Trudinger, Neil S.
6
2019
Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116
Jiang, Feida; Trudinger, Neil S.
12
2018
On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099
Jiang, Feida; Trudinger, Neil S.
8
2018
Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058
Jiang, Feida; Trudinger, Neil S.
17
2017
On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064
Jiang, Feida; Trudinger, Neil S.; Xiang, Ni
10
2016
On the classical solvability of near field reflector problems. Zbl 1322.35133
Trudinger, Neil; Liu, Jiakun
8
2016
On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027
Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping
15
2015
On asymptotic behaviour and \(W^{2, p}\) regularity of potentials in optimal transportation. Zbl 1309.35183
Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia
5
2015
On the local theory of prescribed Jacobian equations. Zbl 1279.35052
Trudinger, Neil S.
23
2014
On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023
Jiang, Feida; Trudinger, Neil S.
20
2014
On the Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131
Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping
20
2014
A note on global regularity in optimal transportion. Zbl 1283.35051
Trudinger, Neil S.
4
2013
Hessian measures on the Heisenberg group. Zbl 1282.26016
Trudinger, Neil S.; Zhang, Wei
4
2013
The \(k\)-Yamabe problem. Zbl 1382.53013
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
5
2012
Prescribed Weingarten curvature equations. Zbl 1317.53095
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
3
2012
The mean curvature measure. Zbl 1246.35199
Dai, Qiuyi; Trudinger, Neil S.; Wang, Xu-Jia
3
2012
Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142
Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia
30
2010
On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317
Liu, Jiakun; Trudinger, Neil S.
16
2010
A form of Alexandrov-Fenchel inequality. Zbl 1230.52020
Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua
15
2010
The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033
Trudinger, Neil S.; Wang, Xu-Jia
13
2010
On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134
Trudinger, Neil S.; Wang, Xu-Jia
62
2009
On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038
Trudinger, Neil S.; Wang, Xu-Jia
37
2009
Quasilinear elliptic equations with signed measure. Zbl 1154.35351
Trudinger, Neil S.; Wang, Xu-Jia
16
2009
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327
Trudinger, Neil S.; Wang, Xu-Jia
15
2009
The Monge-Ampère equation and its applications. Zbl 1156.35033
Trudinger, Neil S.; Wang, Xu-Jia
89
2008
Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046
Trudinger, Neil S.; Wang, Xu-Jia
61
2008
Preface to a collection of refereed papers devoted to the memory of Sergio Campanato and also of Guido Stampacchia. Zbl 1136.01312
Maugeri, Antonino; Venkatesha Murthy, M. K.; Trudinger, Neil S.
2
2008
Special issue: Variational analysis and partial differential equations in memory of Sergio Campanato and Guido Stampacchia. Zbl 1143.49002
1
2008
On the maximum principle for linear parabolic equations. Zbl 1139.35034
Kuo, Hung-Ju; Trudinger, Neil S.
1
2008
The Yamabe problem for higher order curvatures. Zbl 1133.53035
Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia
52
2007
New maximum principles for linear elliptic equations. Zbl 1171.35030
Kuo, Hung-Ju; Trudinger, Neil S.
6
2007
Recent developments in elliptic partial differential equations of Monge–Ampère type. Zbl 1130.35058
Trudinger, Neil S.
27
2006
Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
5
2006
On Hessian measures for non-commuting vector fields. Zbl 1172.35395
Trudinger, Neil S.
4
2006
Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035
Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia
133
2005
The affine Plateau problem. Zbl 1229.53049
Trudinger, Neil S.; Wang, Xu-Jia
38
2005
Estimates for solutions of fully nonlinear discrete schemes. Zbl 1075.65134
Kuo, Hung-Ju; Trudinger, Neil S.
2
2005
An Alexandrov type theorem for \(k\)-convex functions. Zbl 1082.26010
Chaudhuri, Nirmalendu; Trudinger, Neil S.
1
2005
The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418
Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia
30
2004
Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008
Sheng, Weimin; Trudinger, Neil; Wang, Xujia
4
2004
The Chern conjecture in affine geometry. Zbl 1328.53011
Trudinger, Neil S.
1
2004
On the affine diameter of closed convex hypersurfaces. Zbl 1055.53006
Sheng, Weimin; Trudinger, Neil S.
1
2003
On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023
Trudinger, Neil S.; Wang, Xu-Jia
84
2002
Hessian measures. III. Zbl 1119.35325
Trudinger, Neil S.; Wang, Xu-Jia
47
2002
Affine complete locally convex hypersurfaces. Zbl 1071.53008
Trudinger, Neil S.; Wang, Xu-Jia
29
2002
On locally convex hypersurfaces with boundary. Zbl 1020.53002
Trudinger, Neil S.; Wang, Xu-Jia
17
2002
Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003
Trudinger, Neil S.; Wang, Xu-Jia
13
2002
Elliptic partial differential equations of second order. Reprint of the 1998 ed. Zbl 1042.35002
Gilbarg, David; Trudinger, Neil S.
2001
On the Monge mass transfer problem. Zbl 1010.49030
Trudinger, Neil S.; Wang, Xu-Jia
46
2001
Glimpses of nonlinear partial differential equations in the twentieth century. A priori estimates and the Bernstein problem. Zbl 1003.35002
Trudinger, Neil S.
2
2001
The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021
Trudinger, Neil S.; Wang, Xu-Jia
76
2000
A note on the discrete Aleksandrov-Bakelman maximum principle. Zbl 0963.65107
Kuo, Hung-Ju; Trudinger, Neil S.
9
2000
Hessian measures. II. Zbl 0947.35055
Trudinger, Neil S.; Wang, Xu-Jia
115
1999
On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442
Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia
39
1999
A Poincaré type inequality for Hessian integrals. Zbl 0927.58013
Trudinger, Neil S.; Wang, Xu-Jia
24
1998
Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089
Kuo, Hung-Ju; Trudinger, Neil S.
9
1998
Hessian measures. I. Zbl 0915.35039
Trudinger, Neil S.; Wang, Xu-Jia
68
1997
Weak solutions of Hessian equations. Zbl 0883.35035
Trudinger, Neil S.
67
1997
On new isoperimetric inequalities and symmetrization. Zbl 0883.52006
Trudinger, Neil S.
39
1997
Positive difference operators on general meshes. Zbl 0859.39009
Kuo, Hung-Ju; Trudinger, Neil S.
15
1996
The Dirichlet problem for the prescibed curvature quotient equations with general boundary values. Zbl 0938.35060
Ivochkina, Nina M.; Lin, Mi; Trudinger, Neil S.
5
1996
Maximum principles for difference operators. Zbl 0843.39015
Kuo, Hung-Ju; Trudinger, Neil S.
2
1996
Isoperimetric inequalities and nonlinear elliptic equations. Zbl 0882.35045
Trudinger, N. S.
2
1996
On the Dirichlet problem for Hessian equations. Zbl 0887.35061
Trudinger, Neil S.
137
1995
Local estimates for parabolic difference operators. Zbl 0846.39007
Kuo, Hung-Ju; Trudinger, Neil S.
9
1995
On some inequalities for elementary symmetric functions. Zbl 0855.26006
Lin, Mi; Trudinger, Neil S.
45
1994
Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001
Trudinger, Neil S.
30
1994
The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016
Lin, Mi; Trudinger, Neil S.
11
1994
Quasilinear second order elliptic equations with Venttsel boundary conditions. Zbl 0823.35059
Luo, Yousong; Trudinger, Neil S.
6
1994
Maximum principles for curvature quotient equations. Zbl 0828.35020
Trudinger, Neil S.
1
1994
On the discrete maximum principle for parabolic difference operators. Zbl 0787.65059
Kuo, Hung-Ju; Trudinger, N. S.
9
1993
Discrete methods for fully nonlinear elliptic equations. Zbl 0745.65058
Kuo, Hung-Ju; Trudinger, Neil S.
30
1992
Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014
Luo, Yousong; Trudinger, Neil S.
26
1991
The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018
Trudinger, Neil S.
92
1990
Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005
Kuo, Hung-Ju; Trudinger, Neil S.
24
1990
A priori bounds and necessary conditions for solvability of prescribed curvature equations. Zbl 0703.35070
Trudinger, Neil S.
15
1990
A priori bounds for graphs with prescribed curvature. Zbl 0714.53008
Trudinger, Neil S.
1
1990
Elliptic partial differential equations of second order. (Ehllipticheskie differentsial’nye uravneniya s chastnymi proizvodnymi vtorogo poryadka). Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. (Ehllipticheskie differentsial’nye uravneniya s chastnymi proizvodnymi vtorogo poryadka.) Zbl 0691.35001
Gilbarg, D.; Trudinger, N. S.
1989
On the twice differentiability of viscosity solutions of nonlinear elliptic equations. Zbl 0706.35031
Trudinger, Neil S.
18
1989
On regularity and existence of viscosity solutions of nonlinear second order, elliptic equations. Zbl 0698.35056
Trudinger, Neil S.
5
1989
Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007
Trudinger, Neil S.
44
1988
Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026
Trudinger, Neil S.
34
1988
On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028
Trudinger, Neil S.
21
1987
Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047
Lieberman, Gary M.; Trudinger, Neil S.
82
1986
The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027
Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E.
53
1986
Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation. Zbl 0593.35046
Lions, Pierre-Louis; Trudinger, N. S.
29
1986
A new approach to the Schauder estimates for linear elliptic equations. Zbl 0641.35023
Trudinger, Neil S.
3
1986
Classical boundary value problems for Monge-Ampère type equations. Zbl 0695.35075
Trudinger, N. S.
3
1986
The Neumann problem for equations of Monge-Ampère type. Zbl 0617.35050
Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E.
2
1986
Graphs with prescribed curvature. Zbl 0601.35036
Trudinger, Neil. S.
1
1986
On an interpolation inequality and its applications to nonlinear elliptic equations. Zbl 0579.35029
Trudinger, Neil S.
8
1985
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
61
1984
On second derivative estimates for equations of Monge-Ampère type. Zbl 0557.35054
Trudinger, Neil S.; Urbas, John I. E.
25
1984
Regularity of solutions of fully nonlinear elliptic equations. Zbl 0559.35030
Trudinger, Neil S.
10
1984
Boundary value problems for fully nonlinear elliptic equations. Zbl 0578.35025
Trudinger, Neil S.
3
1984
Elliptic partial differential equations of second order. 2nd ed. Zbl 0562.35001
Gilbarg, David; Trudinger, Neil S.
1983
Fully nonlinear, uniformly elliptic equations under natural structure conditions. Zbl 0518.35036
Trudinger, Neil S.
55
1983
...and 28 more Documents
all top 5

Cited by 9,098 Authors

69 Trudinger, Neil Sidney
46 Do Ó, João M. Bezerra
44 Lu, Guozhen
42 Wei, Juncheng
41 Lieberman, Gary M.
38 Alves, Claudianor Oliveira
37 Rădulescu, Vicenţiu D.
37 Wang, Xu-Jia
34 García-Melián, Jorge
34 Li, YanYan
34 Yang, Yunyan
33 Véron, Laurent
32 Dancer, Edward Norman
31 Pistoia, Angela
30 Byeon, Jaeyoung
30 Mingione, Giuseppe
30 Zhang, Zhijun
29 Chipot, Michel
28 Cianchi, Andrea
28 Figueiredo, Giovany Malcher
28 Wang, Lihe
27 Caffarelli, Luis Ángel
26 Papageorgiou, Nikolaos S.
25 Krylov, Nicolaĭ Vladimirovich
25 Quaas, Alexander
25 Wang, Zhi-Qiang
24 Bao, Jiguang
24 de Souza, Manassés
24 Drábek, Pavel
24 Rossi, Julio Daniel
24 Valdinoci, Enrico
23 Du, Lili
23 Du, Yihong
23 Lanza de Cristoforis, Massimo
23 Lions, Pierre-Louis
22 Figalli, Alessio
22 Ivochkina, Nina Mikhaĭlovna
22 Musolino, Paolo
21 Li, Dongsheng
21 Ruf, Bernhard
21 Sweers, Guido H.
20 Anderson, Michael T.
20 Chabrowski, Jan H.
20 Chen, Gui-Qiang G.
20 Fuchs, Martin
20 Kuusi, Tuomo
20 López Camino, Rafael
20 Sciunzi, Berardino
19 Feldman, Mikhail
19 Feng, Xiaobing
19 Jiang, Feida
19 Lam, Nguyen
19 Nguyễn Văn Hoàng
19 Novaga, Matteo
19 Porru, Giovanni
19 Rigoli, Marco
18 Gutiérrez, Cristian E.
18 Lou, Yuan
18 Medeiros, Everaldo S.
18 Ni, Wei-Ming
18 Nochetto, Ricardo Horacio
18 Severo, Uberlandio Batista
18 Vitolo, Antonio
18 Winkler, Michael
18 Xu, Xiangsheng
17 Choi, Yung-Sze
17 Emamizadeh, Behrouz
17 Escher, Joachim
17 Lee, Ki-Ahm
17 Liu, Jiakun
17 da Silva Montenegro, Marcelo
17 Neilan, Michael
17 Palagachev, Dian K.
17 Sirakov, Boyan Slavchev
17 Vazquez, Juan Luis
17 Yi, Fahuai
17 Ziemer, William Paul
16 Byun, Sun-Sig
16 Chen, Shuxing
16 Dávila, Juan
16 DiBenedetto, Emmanuele
16 Dong, Hongjie
16 Guo, Zongming
16 Maz’ya, Vladimir Gilelevich
16 McCann, Robert J.
16 Miyagaki, Olimpio Hiroshi
16 Nadirashvili, Nikolai S.
16 Nguyen, Luc
16 Pan, Xingbin
16 Verbitsky, Igor E.
16 Xin, Zhouping
16 Yeh, Li-Ming
15 Alessandrini, Giovanni
15 Carl, Siegfried
15 Ciraolo, Giulio
15 Kim, Eun Heui
15 Krutitskii, Pavel A.
15 Le, Nam Q.
15 Micheletti, Anna Maria
15 Mohammed, Ahmed
...and 8,998 more Authors
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Cited in 601 Serials

755 Journal of Differential Equations
632 Journal of Mathematical Analysis and Applications
553 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
477 Calculus of Variations and Partial Differential Equations
289 Journal of Functional Analysis
286 Archive for Rational Mechanics and Analysis
275 Communications in Partial Differential Equations
250 Transactions of the American Mathematical Society
188 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
177 Proceedings of the American Mathematical Society
173 The Journal of Geometric Analysis
171 Advances in Mathematics
162 Nonlinear Analysis. Theory, Methods & Applications
145 Mathematische Annalen
141 Communications in Mathematical Physics
141 Annali di Matematica Pura ed Applicata. Serie Quarta
128 Journal de Mathématiques Pures et Appliquées. Neuvième Série
125 SIAM Journal on Mathematical Analysis
124 Mathematische Zeitschrift
111 Discrete and Continuous Dynamical Systems
106 Journal of Mathematical Sciences (New York)
102 Communications on Pure and Applied Analysis
100 Manuscripta Mathematica
99 Nonlinear Analysis. Real World Applications
89 Potential Analysis
88 Communications in Contemporary Mathematics
86 ZAMP. Zeitschrift für angewandte Mathematik und Physik
83 NoDEA. Nonlinear Differential Equations and Applications
81 Duke Mathematical Journal
78 Communications on Pure and Applied Mathematics
78 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
72 Applicable Analysis
72 Journal of Mathematical Physics
71 Journal of Computational and Applied Mathematics
70 Mathematical Methods in the Applied Sciences
69 Applied Mathematics Letters
62 Applied Mathematics and Computation
61 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
61 Advanced Nonlinear Studies
60 Journal d’Analyse Mathématique
59 Computers & Mathematics with Applications
58 Applied Mathematics and Optimization
55 Numerische Mathematik
55 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
55 Boundary Value Problems
54 Acta Mathematica Sinica. English Series
54 Comptes Rendus. Mathématique. Académie des Sciences, Paris
53 Inventiones Mathematicae
53 Annals of Global Analysis and Geometry
52 Differential Equations
48 Bulletin of the Australian Mathematical Society
48 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
47 Journal of Computational Physics
47 Mathematics of Computation
47 Science China. Mathematics
44 Discrete and Continuous Dynamical Systems. Series B
42 Mathematical Notes
42 Journal of the European Mathematical Society (JEMS)
42 Journal of Evolution Equations
41 The Annals of Probability
41 Stochastic Processes and their Applications
39 Complex Variables and Elliptic Equations
39 Advances in Nonlinear Analysis
38 Numerical Functional Analysis and Optimization
38 Revista Matemática Iberoamericana
37 Journal für die Reine und Angewandte Mathematik
36 Results in Mathematics
36 Zeitschrift für Analysis und ihre Anwendungen
33 Computer Methods in Applied Mechanics and Engineering
33 Chinese Annals of Mathematics. Series B
33 Abstract and Applied Analysis
32 Mathematische Nachrichten
32 Journal of Scientific Computing
32 Differential Geometry and its Applications
31 Applied Numerical Mathematics
31 Acta Mathematicae Applicatae Sinica. English Series
30 SIAM Journal on Control and Optimization
30 SIAM Journal on Numerical Analysis
30 Siberian Mathematical Journal
30 SIAM Journal on Applied Mathematics
30 Topological Methods in Nonlinear Analysis
29 Journal of Inequalities and Applications
28 Journal of Geometry and Physics
28 Annales de l’Institut Fourier
28 Probability Theory and Related Fields
28 Milan Journal of Mathematics
27 Israel Journal of Mathematics
27 Rocky Mountain Journal of Mathematics
27 Geometriae Dedicata
27 Physica D
26 Acta Applicandae Mathematicae
26 Annales Henri Poincaré
26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
26 Discrete and Continuous Dynamical Systems. Series S
25 Journal of the American Mathematical Society
24 Acta Mathematica
23 Rendiconti del Seminario Matematico della Università di Padova
23 Numerical Methods for Partial Differential Equations
23 The Annals of Applied Probability
23 St. Petersburg Mathematical Journal
...and 501 more Serials
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Cited in 58 Fields

8,833 Partial differential equations (35-XX)
1,358 Differential geometry (53-XX)
1,124 Calculus of variations and optimal control; optimization (49-XX)
963 Global analysis, analysis on manifolds (58-XX)
912 Fluid mechanics (76-XX)
846 Numerical analysis (65-XX)
702 Functional analysis (46-XX)
636 Operator theory (47-XX)
456 Probability theory and stochastic processes (60-XX)
453 Biology and other natural sciences (92-XX)
396 Potential theory (31-XX)
343 Mechanics of deformable solids (74-XX)
306 Real functions (26-XX)
260 Several complex variables and analytic spaces (32-XX)
253 Statistical mechanics, structure of matter (82-XX)
229 Ordinary differential equations (34-XX)
211 Optics, electromagnetic theory (78-XX)
201 Quantum theory (81-XX)
174 Harmonic analysis on Euclidean spaces (42-XX)
163 Dynamical systems and ergodic theory (37-XX)
153 Systems theory; control (93-XX)
152 Functions of a complex variable (30-XX)
138 Integral equations (45-XX)
135 Relativity and gravitational theory (83-XX)
119 Convex and discrete geometry (52-XX)
114 Classical thermodynamics, heat transfer (80-XX)
102 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
81 Measure and integration (28-XX)
78 Operations research, mathematical programming (90-XX)
62 Manifolds and cell complexes (57-XX)
55 Geophysics (86-XX)
47 Algebraic geometry (14-XX)
42 Mechanics of particles and systems (70-XX)
40 Approximations and expansions (41-XX)
36 Computer science (68-XX)
31 Information and communication theory, circuits (94-XX)
30 Difference and functional equations (39-XX)
30 Statistics (62-XX)
29 Abstract harmonic analysis (43-XX)
28 Topological groups, Lie groups (22-XX)
22 Astronomy and astrophysics (85-XX)
20 General topology (54-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
14 Geometry (51-XX)
14 Algebraic topology (55-XX)
11 Special functions (33-XX)
11 Integral transforms, operational calculus (44-XX)
10 General and overarching topics; collections (00-XX)
10 History and biography (01-XX)
10 Number theory (11-XX)
7 Combinatorics (05-XX)
4 Nonassociative rings and algebras (17-XX)
3 Category theory; homological algebra (18-XX)
3 Group theory and generalizations (20-XX)
2 Mathematical logic and foundations (03-XX)
2 Sequences, series, summability (40-XX)
1 \(K\)-theory (19-XX)
1 Mathematics education (97-XX)

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