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Trudinger, Neil Sidney

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Author ID: trudinger.neil-s Recent zbMATH articles by "Trudinger, Neil Sidney"
Published as: Trudinger, N. S.; Trudinger, Neil; Trudinger, Neil S.; Trudinger, Neil. S.
Homepage: https://researchers.anu.edu.au/researchers/trudinger-ns
External Links: MGP · Wikidata · dblp · GND · MacTutor
Documents Indexed: 139 Publications since 1967, including 7 Books
all top 5

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 Potential Analysis
1 Communications in Analysis and Geometry
1 Journal of Mathematical Sciences. University of Tokyo
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

125 Publications have been cited 14,114 times in 10,647 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. Zbl 0361.35003
Gilbarg, David; Trudinger, Neil S.
1977
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. Zbl 0691.35001
Gilbarg, D.; Trudinger, N. S.
1989
On imbeddings into Orlicz spaces and some applications. Zbl 0163.36402
Trudinger, N. S.
531
1967
On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703
Trudinger, N. S.
355
1967
Remarks concerning the conformal deformation of Riemannian structures on compact manifolds. Zbl 0159.23801
Trudinger, N. S.
265
1968
Orlicz-Sobolev spaces and imbedding theorems. Zbl 0216.15702
Donaldson, T. K.; Trudinger, N. S.
144
1971
Linear elliptic operators with measurable coefficients. Zbl 0279.35025
Trudinger, Neil S.
130
1973
On the Dirichlet problem for Hessian equations. Zbl 0887.35061
Trudinger, Neil S.
119
1995
Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035
Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia
117
2005
Pointwise estimates and quasilinear parabolic equations. Zbl 0159.39303
Trudinger, N. S.
111
1968
Hessian measures. II. Zbl 0947.35055
Trudinger, Neil S.; Wang, Xu-Jia
109
1999
The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018
Trudinger, Neil S.
85
1990
On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023
Trudinger, Neil S.; Wang, Xu-Jia
78
2002
The Monge-Ampère equation and its applications. Zbl 1156.35033
Trudinger, Neil S.; Wang, Xu-Jia
77
2008
Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047
Lieberman, Gary M.; Trudinger, Neil S.
74
1986
The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021
Trudinger, Neil S.; Wang, Xu-Jia
72
2000
Hessian measures. I. Zbl 0915.35039
Trudinger, Neil S.; Wang, Xu-Jia
64
1997
Weak solutions of Hessian equations. Zbl 0883.35035
Trudinger, Neil S.
63
1997
Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations. Zbl 0453.35028
Trudinger, Neil S.
58
1980
On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134
Trudinger, Neil S.; Wang, Xu-Jia
57
2009
Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046
Trudinger, Neil S.; Wang, Xu-Jia
53
2008
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
53
1984
Fully nonlinear, uniformly elliptic equations under natural structure conditions. Zbl 0518.35036
Trudinger, Neil S.
52
1983
The Yamabe problem for higher order curvatures. Zbl 1133.53035
Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia
47
2007
Hessian measures. III. Zbl 1119.35325
Trudinger, Neil S.; Wang, Xu-Jia
45
2002
The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027
Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E.
45
1986
On the regularity of generalized solutions of linear, non-uniformly elliptic equations. Zbl 0218.35035
Trudinger, N. S.
44
1971
On the Monge mass transfer problem. Zbl 1010.49030
Trudinger, Neil S.; Wang, Xu-Jia
43
2001
Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007
Trudinger, Neil S.
42
1988
On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038
Trudinger, Neil S.; Wang, Xu-Jia
36
2009
The affine Plateau problem. Zbl 1229.53049
Trudinger, Neil S.; Wang, Xu-Jia
36
2005
On new isoperimetric inequalities and symmetrization. Zbl 0883.52006
Trudinger, Neil S.
36
1997
On some inequalities for elementary symmetric functions. Zbl 0855.26006
Lin, Mi; Trudinger, Neil S.
35
1994
On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442
Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia
34
1999
The Dirichlet problem for the equation of prescribed Gauss curvature. Zbl 0524.35047
Trudinger, Neil S.; Urbas, John I. E.
34
1983
Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026
Trudinger, Neil S.
33
1988
The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418
Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia
30
2004
Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation. Zbl 0593.35046
Lions, Pierre-Louis; Trudinger, N. S.
29
1986
Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142
Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia
28
2010
Discrete methods for fully nonlinear elliptic equations. Zbl 0745.65058
Kuo, Hung-Ju; Trudinger, Neil S.
28
1992
On the sharpness of a limiting case of the Sobolev imbedding theorem. Zbl 0205.12801
Hempel, J. A.; Morris, G. R.; Trudinger, N. S.
28
1970
Affine complete locally convex hypersurfaces. Zbl 1071.53008
Trudinger, Neil S.; Wang, Xu-Jia
27
2002
Recent developments in elliptic partial differential equations of Monge–Ampère type. Zbl 1130.35058
Trudinger, Neil S.
25
2006
Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001
Trudinger, Neil S.
25
1994
A Poincaré type inequality for Hessian integrals. Zbl 0927.58013
Trudinger, Neil S.; Wang, Xu-Jia
23
1998
Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014
Luo, Yousong; Trudinger, Neil S.
23
1991
Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005
Kuo, Hung-Ju; Trudinger, Neil S.
21
1990
On second derivative estimates for equations of Monge-Ampère type. Zbl 0557.35054
Trudinger, Neil S.; Urbas, John I. E.
21
1984
Gradient estimates and mean curvature. Zbl 0253.53003
Trudinger, Neil S.
21
1973
Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients. Zbl 0379.35022
Trudinger, Neil S.
20
1977
An imbedding theorem for H\(^\circ\)(G,\(\Omega\)) spaces. Zbl 0247.46052
Trudinger, Neil S.
19
1974
On the Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131
Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping
18
2014
On the local theory of prescribed Jacobian equations. Zbl 1279.35052
Trudinger, Neil S.
18
2014
On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028
Trudinger, Neil S.
18
1987
On locally convex hypersurfaces with boundary. Zbl 1020.53002
Trudinger, Neil S.; Wang, Xu-Jia
17
2002
On the twice differentiability of viscosity solutions of nonlinear elliptic equations. Zbl 0706.35031
Trudinger, Neil S.
17
1989
On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023
Jiang, Feida; Trudinger, Neil S.
15
2014
Quasilinear elliptic equations with signed measure. Zbl 1154.35351
Trudinger, Neil S.; Wang, Xu-Jia
15
2009
Positive difference operators on general meshes. Zbl 0859.39009
Kuo, Hung-Ju; Trudinger, Neil S.
15
1996
On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317
Liu, Jiakun; Trudinger, Neil S.
14
2010
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327
Trudinger, Neil S.; Wang, Xu-Jia
14
2009
A priori bounds and necessary conditions for solvability of prescribed curvature equations. Zbl 0703.35070
Trudinger, Neil S.
14
1990
On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027
Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping
12
2015
The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033
Trudinger, Neil S.; Wang, Xu-Jia
12
2010
Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003
Trudinger, Neil S.; Wang, Xu-Jia
12
2002
The boundary gradient estimate for quasilinear elliptic and parabolic differential equations. Zbl 0236.35022
Trudinger, Neil S.
12
1972
A new proof of the interior gradient bound for the minimal surface equation in n dimensions. Zbl 0231.53007
Trudinger, Neil S.
11
1972
A form of Alexandrov-Fenchel inequality. Zbl 1230.52020
Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua
10
2010
Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058
Jiang, Feida; Trudinger, Neil S.
9
2017
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 regularity and existence of viscosity solutions of nonlinear second order, elliptic equations. Zbl 0698.35056
Trudinger, Neil S.
9
1989
Regularity of solutions of fully nonlinear elliptic equations. Zbl 0559.35030
Trudinger, Neil S.
9
1984
Harnack inequalities for nonuniformly elliptic divergence structure equations. Zbl 0501.35012
Trudinger, Neil S.
9
1981
On the comparison principle for quasilinear divergence structure equations. Zbl 0311.35046
Trudinger, Neil S.
9
1974
Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116
Jiang, Feida; Trudinger, Neil S.
8
2018
The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016
Lin, Mi; Trudinger, Neil S.
8
1994
On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064
Jiang, Feida; Trudinger, Neil S.; Xiang, Ni
7
2016
On the classical solvability of near field reflector problems. Zbl 1322.35133
Trudinger, Neil; Liu, Jiakun
7
2016
Local estimates for parabolic difference operators. Zbl 0846.39007
Kuo, Hung-Ju; Trudinger, Neil S.
7
1995
Quasilinear second order elliptic equations with Venttsel boundary conditions. Zbl 0823.35059
Luo, Yousong; Trudinger, Neil S.
7
1994
On an interpolation inequality and its applications to nonlinear elliptic equations. Zbl 0579.35029
Trudinger, Neil S.
7
1985
New maximum principles for linear elliptic equations. Zbl 1171.35030
Kuo, Hung-Ju; Trudinger, Neil S.
6
2007
Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089
Kuo, Hung-Ju; Trudinger, Neil S.
6
1998
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
On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099
Jiang, Feida; Trudinger, Neil S.
5
2018
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 positivity of weak supersolutions of non-uniformly elliptic equations. Zbl 0415.35029
Trudinger, Neil S.
5
1978
Generalized solutions of quasilinear, differential inequalities. I: Elliptic operators. Zbl 0235.35013
Trudinger, Neil S.
5
1971
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
On Hessian measures for non-commuting vector fields. Zbl 1172.35395
Trudinger, Neil S.
4
2006
Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
4
2006
The Dirichlet problem for the prescibed curvature quotient equations with general boundary values. Zbl 0938.35060
Ivochkina, Nina M.; Lin, Mi; Trudinger, Neil S.
4
1996
Lipschitz continuous solutions of elliptic equations of the form \({\mathcal A} (Du)D^ 2u = 0\). Zbl 0174.15801
Trudinger, N. S.
4
1969
Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070
Jiang, Feida; Trudinger, Neil S.
3
2019
The mean curvature measure. Zbl 1246.35199
Dai, Qiuyi; Trudinger, Neil S.; Wang, Xu-Jia
3
2012
Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070
Jiang, Feida; Trudinger, Neil S.
3
2019
Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116
Jiang, Feida; Trudinger, Neil S.
8
2018
On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099
Jiang, Feida; Trudinger, Neil S.
5
2018
Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058
Jiang, Feida; Trudinger, Neil S.
9
2017
On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064
Jiang, Feida; Trudinger, Neil S.; Xiang, Ni
7
2016
On the classical solvability of near field reflector problems. Zbl 1322.35133
Trudinger, Neil; Liu, Jiakun
7
2016
On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027
Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping
12
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 Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131
Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping
18
2014
On the local theory of prescribed Jacobian equations. Zbl 1279.35052
Trudinger, Neil S.
18
2014
On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023
Jiang, Feida; Trudinger, Neil S.
15
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 mean curvature measure. Zbl 1246.35199
Dai, Qiuyi; Trudinger, Neil S.; Wang, Xu-Jia
3
2012
Prescribed Weingarten curvature equations. Zbl 1317.53095
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
2
2012
The \(k\)-Yamabe problem. Zbl 1382.53013
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
2
2012
Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142
Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia
28
2010
On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317
Liu, Jiakun; Trudinger, Neil S.
14
2010
The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033
Trudinger, Neil S.; Wang, Xu-Jia
12
2010
A form of Alexandrov-Fenchel inequality. Zbl 1230.52020
Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua
10
2010
On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134
Trudinger, Neil S.; Wang, Xu-Jia
57
2009
On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038
Trudinger, Neil S.; Wang, Xu-Jia
36
2009
Quasilinear elliptic equations with signed measure. Zbl 1154.35351
Trudinger, Neil S.; Wang, Xu-Jia
15
2009
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327
Trudinger, Neil S.; Wang, Xu-Jia
14
2009
The Monge-Ampère equation and its applications. Zbl 1156.35033
Trudinger, Neil S.; Wang, Xu-Jia
77
2008
Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046
Trudinger, Neil S.; Wang, Xu-Jia
53
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
On the maximum principle for linear parabolic equations. Zbl 1139.35034
Kuo, Hung-Ju; Trudinger, Neil S.
1
2008
Special issue: Variational analysis and partial differential equations in memory of Sergio Campanato and Guido Stampacchia. Zbl 1143.49002
Maugeri, Antonino (ed.); Venkatesha Murthy, M. K. (ed.); Trudinger, Neil S. (ed.)
1
2008
The Yamabe problem for higher order curvatures. Zbl 1133.53035
Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia
47
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.
25
2006
On Hessian measures for non-commuting vector fields. Zbl 1172.35395
Trudinger, Neil S.
4
2006
Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
4
2006
Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035
Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia
117
2005
The affine Plateau problem. Zbl 1229.53049
Trudinger, Neil S.; Wang, Xu-Jia
36
2005
Estimates for solutions of fully nonlinear discrete schemes. Zbl 1075.65134
Kuo, Hung-Ju; Trudinger, Neil S.
1
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
3
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
78
2002
Hessian measures. III. Zbl 1119.35325
Trudinger, Neil S.; Wang, Xu-Jia
45
2002
Affine complete locally convex hypersurfaces. Zbl 1071.53008
Trudinger, Neil S.; Wang, Xu-Jia
27
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
12
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
43
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
72
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
109
1999
On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442
Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia
34
1999
A Poincaré type inequality for Hessian integrals. Zbl 0927.58013
Trudinger, Neil S.; Wang, Xu-Jia
23
1998
Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089
Kuo, Hung-Ju; Trudinger, Neil S.
6
1998
Hessian measures. I. Zbl 0915.35039
Trudinger, Neil S.; Wang, Xu-Jia
64
1997
Weak solutions of Hessian equations. Zbl 0883.35035
Trudinger, Neil S.
63
1997
On new isoperimetric inequalities and symmetrization. Zbl 0883.52006
Trudinger, Neil S.
36
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.
4
1996
Isoperimetric inequalities and nonlinear elliptic equations. Zbl 0882.35045
Trudinger, N. S.
2
1996
Maximum principles for difference operators. Zbl 0843.39015
Kuo, Hung-Ju; Trudinger, Neil S.
2
1996
On the Dirichlet problem for Hessian equations. Zbl 0887.35061
Trudinger, Neil S.
119
1995
Local estimates for parabolic difference operators. Zbl 0846.39007
Kuo, Hung-Ju; Trudinger, Neil S.
7
1995
On some inequalities for elementary symmetric functions. Zbl 0855.26006
Lin, Mi; Trudinger, Neil S.
35
1994
Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001
Trudinger, Neil S.
25
1994
The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016
Lin, Mi; Trudinger, Neil S.
8
1994
Quasilinear second order elliptic equations with Venttsel boundary conditions. Zbl 0823.35059
Luo, Yousong; Trudinger, Neil S.
7
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.
28
1992
Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014
Luo, Yousong; Trudinger, Neil S.
23
1991
The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018
Trudinger, Neil S.
85
1990
Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005
Kuo, Hung-Ju; Trudinger, Neil S.
21
1990
A priori bounds and necessary conditions for solvability of prescribed curvature equations. Zbl 0703.35070
Trudinger, Neil S.
14
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. 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.
17
1989
On regularity and existence of viscosity solutions of nonlinear second order, elliptic equations. Zbl 0698.35056
Trudinger, Neil S.
9
1989
Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007
Trudinger, Neil S.
42
1988
Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026
Trudinger, Neil S.
33
1988
On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028
Trudinger, Neil S.
18
1987
Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047
Lieberman, Gary M.; Trudinger, Neil S.
74
1986
The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027
Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E.
45
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
The Neumann problem for equations of Monge-Ampère type. Zbl 0617.35050
Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E.
3
1986
Classical boundary value problems for Monge-Ampère type equations. Zbl 0695.35075
Trudinger, N. S.
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.
7
1985
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
53
1984
On second derivative estimates for equations of Monge-Ampère type. Zbl 0557.35054
Trudinger, Neil S.; Urbas, John I. E.
21
1984
Regularity of solutions of fully nonlinear elliptic equations. Zbl 0559.35030
Trudinger, Neil S.
9
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.
52
1983
The Dirichlet problem for the equation of prescribed Gauss curvature. Zbl 0524.35047
Trudinger, Neil S.; Urbas, John I. E.
34
1983
Elliptic equations in non-divergence form. Zbl 0555.35040
Trudinger, Neil S.
2
1982
Harnack inequalities for nonuniformly elliptic divergence structure equations. Zbl 0501.35012
Trudinger, Neil S.
9
1981
...and 25 more Documents
all top 5

Cited by 8,728 Authors

68 Trudinger, Neil Sidney
44 Do Ó, João M. Bezerra
42 Lieberman, Gary M.
41 Wei, Juncheng
38 Li, YanYan
36 Lu, Guozhen
34 García-Melián, Jorge
33 Alves, Claudianor Oliveira
33 Wang, Xu-Jia
32 Dancer, Edward Norman
31 Yang, Yunyan
30 Byeon, Jaeyoung
30 Véron, Laurent
30 Zhang, Zhijun
29 Mingione, Giuseppe
29 Rădulescu, Vicenţiu D.
28 Chipot, Michel
28 Cianchi, Andrea
28 Pistoia, Angela
27 Wang, Lihe
27 Wang, Zhi-Qiang
26 Krylov, Nicolaĭ Vladimirovich
26 Lou, Yuan
26 Quaas, Alexander
25 Caffarelli, Luis Ángel
24 Drábek, Pavel
24 Figueiredo, Giovany Malcher
24 Lions, Pierre-Louis
23 de Souza, Manassés
23 Du, Yihong
23 Rossi, Julio Daniel
22 Bao, Jiguang
22 Du, Lili
22 Figalli, Alessio
22 Lanza de Cristoforis, Massimo
22 Ruf, Bernhard
21 Musolino, Paolo
21 Valdinoci, Enrico
20 Chabrowski, Jan H.
20 Ivochkina, Nina Mikhaĭlovna
20 Kuusi, Tuomo
20 Li, Dongsheng
20 Sciunzi, Berardino
20 Sweers, Guido H.
19 Anderson, Michael T.
19 Feldman, Mikhail
19 Feng, Xiaobing
19 Ni, Wei-Ming
19 Vitolo, Antonio
18 Chen, Gui-Qiang G.
18 Fuchs, Martin
18 Nguyễn Văn Hoàng
18 Nochetto, Ricardo Horacio
18 Rigoli, Marco
17 Carl, Siegfried
17 Choi, Yung-Sze
17 Emamizadeh, Behrouz
17 Escher, Joachim
17 Guo, Zongming
17 Gutiérrez, Cristian E.
17 Lam, Nguyen
17 Neilan, Michael
17 Palagachev, Dian K.
17 Porru, Giovanni
17 Sirakov, Boyan Slavchev
17 Yi, Fahuai
17 Ziemer, William Paul
16 Chen, Shuxing
16 Dávila, Juan
16 DiBenedetto, Emmanuele
16 Maz’ya, Vladimir Gilelevich
16 McCann, Robert J.
16 Medeiros, Everaldo S.
16 da Silva Montenegro, Marcelo
16 Nadirashvili, Nikolai S.
16 Novaga, Matteo
16 Pan, Xingbin
16 Shahgholian, Henrik
16 Vazquez, Juan Luis
16 Verbitsky, Igor E.
16 Xu, Xiangsheng
16 Yeh, Li-Ming
15 Alessandrini, Giovanni
15 Jiang, Feida
15 Kim, Eun Heui
15 Krutitskii, Pavel A.
15 Lee, Ki-Ahm
15 Liu, Jiakun
15 Lopez Camino, Rafael
15 Miyagaki, Olimpio Hiroshi
15 Nguyen, Luc
15 Sabina-de-Lis, José Claudio
15 Severo, Uberlandio Batista
15 Winkler, Michael
15 Xin, Zhouping
15 Zou, Wenming
14 Allegretto, Walter
14 Barles, Guy
14 Černý, Robert
14 Dalla Riva, Matteo
...and 8,628 more Authors
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Cited in 555 Serials

726 Journal of Differential Equations
607 Journal of Mathematical Analysis and Applications
549 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
416 Calculus of Variations and Partial Differential Equations
278 Journal of Functional Analysis
270 Archive for Rational Mechanics and Analysis
267 Communications in Partial Differential Equations
251 Transactions of the American Mathematical Society
188 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
173 Proceedings of the American Mathematical Society
173 Nonlinear Analysis. Theory, Methods & Applications
157 Advances in Mathematics
135 Communications in Mathematical Physics
135 Mathematische Annalen
135 The Journal of Geometric Analysis
133 Annali di Matematica Pura ed Applicata. Serie Quarta
118 Mathematische Zeitschrift
118 Journal de Mathématiques Pures et Appliquées. Neuvième Série
106 SIAM Journal on Mathematical Analysis
103 Discrete and Continuous Dynamical Systems
101 Journal of Mathematical Sciences (New York)
98 Nonlinear Analysis. Real World Applications
97 Manuscripta Mathematica
87 Communications on Pure and Applied Analysis
84 Potential Analysis
79 Duke Mathematical Journal
78 Communications on Pure and Applied Mathematics
78 ZAMP. Zeitschrift für angewandte Mathematik und Physik
78 Communications in Contemporary Mathematics
77 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
76 NoDEA. Nonlinear Differential Equations and Applications
72 Journal of Mathematical Physics
72 Journal of Computational and Applied Mathematics
71 Applicable Analysis
70 Mathematical Methods in the Applied Sciences
63 Applied Mathematics and Computation
61 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
58 Journal d’Analyse Mathématique
58 Applied Mathematics Letters
57 Computers & Mathematics with Applications
55 Numerische Mathematik
54 Comptes Rendus. Mathématique. Académie des Sciences, Paris
51 Inventiones Mathematicae
50 Annals of Global Analysis and Geometry
49 Acta Mathematica Sinica. English Series
49 Advanced Nonlinear Studies
48 Bulletin of the Australian Mathematical Society
48 Differential Equations
47 Mathematics of Computation
46 Applied Mathematics and Optimization
46 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
43 Stochastic Processes and their Applications
43 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
42 Journal of Computational Physics
42 Boundary Value Problems
39 Mathematical Notes
39 Journal of the European Mathematical Society (JEMS)
39 Science China. Mathematics
38 Numerical Functional Analysis and Optimization
38 Discrete and Continuous Dynamical Systems. Series B
37 Journal für die Reine und Angewandte Mathematik
36 The Annals of Probability
35 Revista Matemática Iberoamericana
34 Computer Methods in Applied Mechanics and Engineering
34 Journal of Evolution Equations
33 Zeitschrift für Analysis und ihre Anwendungen
33 Abstract and Applied Analysis
33 Complex Variables and Elliptic Equations
32 Mathematische Nachrichten
31 Chinese Annals of Mathematics. Series B
31 Journal of Scientific Computing
31 Differential Geometry and its Applications
30 Siberian Mathematical Journal
30 Advances in Nonlinear Analysis
29 Journal of Geometry and Physics
29 Acta Mathematicae Applicatae Sinica. English Series
28 Annales de l’Institut Fourier
28 Results in Mathematics
27 Israel Journal of Mathematics
26 Rocky Mountain Journal of Mathematics
26 Physica D
26 Applied Numerical Mathematics
26 Probability Theory and Related Fields
26 SIAM Journal on Applied Mathematics
26 Milan Journal of Mathematics
25 SIAM Journal on Control and Optimization
25 SIAM Journal on Numerical Analysis
24 Acta Mathematica
24 Acta Applicandae Mathematicae
24 Journal of the American Mathematical Society
23 Geometriae Dedicata
23 Rendiconti del Seminario Matematico della Università di Padova
23 Numerical Methods for Partial Differential Equations
22 The Annals of Applied Probability
22 Bulletin des Sciences Mathématiques
22 Journal of Inequalities and Applications
21 Japan Journal of Industrial and Applied Mathematics
21 Topological Methods in Nonlinear Analysis
21 Mediterranean Journal of Mathematics
21 Journal of Fixed Point Theory and Applications
...and 455 more Serials
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Cited in 60 Fields

8,134 Partial differential equations (35-XX)
1,222 Differential geometry (53-XX)
1,047 Calculus of variations and optimal control; optimization (49-XX)
901 Global analysis, analysis on manifolds (58-XX)
866 Fluid mechanics (76-XX)
778 Numerical analysis (65-XX)
640 Functional analysis (46-XX)
601 Operator theory (47-XX)
416 Probability theory and stochastic processes (60-XX)
398 Biology and other natural sciences (92-XX)
363 Potential theory (31-XX)
317 Mechanics of deformable solids (74-XX)
292 Real functions (26-XX)
237 Statistical mechanics, structure of matter (82-XX)
232 Several complex variables and analytic spaces (32-XX)
225 Ordinary differential equations (34-XX)
196 Optics, electromagnetic theory (78-XX)
184 Quantum theory (81-XX)
155 Harmonic analysis on Euclidean spaces (42-XX)
148 Dynamical systems and ergodic theory (37-XX)
147 Systems theory; control (93-XX)
134 Functions of a complex variable (30-XX)
129 Integral equations (45-XX)
119 Relativity and gravitational theory (83-XX)
106 Classical thermodynamics, heat transfer (80-XX)
100 Convex and discrete geometry (52-XX)
92 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
74 Measure and integration (28-XX)
67 Operations research, mathematical programming (90-XX)
56 Manifolds and cell complexes (57-XX)
52 Geophysics (86-XX)
43 Algebraic geometry (14-XX)
40 Approximations and expansions (41-XX)
35 Mechanics of particles and systems (70-XX)
32 Computer science (68-XX)
28 Difference and functional equations (39-XX)
28 Information and communication theory, circuits (94-XX)
27 Statistics (62-XX)
24 Topological groups, Lie groups (22-XX)
23 Abstract harmonic analysis (43-XX)
21 Astronomy and astrophysics (85-XX)
18 General topology (54-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
14 Algebraic topology (55-XX)
11 Special functions (33-XX)
11 Integral transforms, operational calculus (44-XX)
11 Geometry (51-XX)
10 Number theory (11-XX)
9 General and overarching topics; collections (00-XX)
8 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Nonassociative rings and algebras (17-XX)
3 Category theory; homological algebra (18-XX)
2 Mathematical logic and foundations (03-XX)
2 Group theory and generalizations (20-XX)
2 Sequences, series, summability (40-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Mathematics education (97-XX)

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