## Trudinger, Neil Sidney

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 Author ID: trudinger.neil-s Published as: Trudinger, Neil S.; Trudinger, N. S.; Trudinger, Neil; Trudinger, Neil. S. more...less Homepage: https://researchers.anu.edu.au/researchers/trudinger-ns External Links: MacTutor · MGP · Wikidata · Google Scholar · dblp · GND · IdRef
 Documents Indexed: 134 Publications since 1967, including 4 Books 7 Contributions as Editor Co-Authors: 33 Co-Authors with 86 Joint Publications 1,336 Co-Co-Authors
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### Co-Authors

 55 single-authored 29 Wang, Xu-Jia 13 Kuo, Hung-Ju 10 Jiang, Feida 6 Sheng, Weimin 4 Gilbarg, David 4 Liu, Jiakun 4 Urbas, John Ivan Eugene 3 Ilmanen, Thomas 3 Lin, Mi 3 Lions, Pierre-Louis 3 Schatzle, Reiner 2 Guan, Pengfei 2 Ivochkina, Nina Mikhaĭlovna 2 Luo, Yousong 2 Ma, Xi-Nan 2 Maugeri, Antonino 2 Murthy, M. K. Venkatesha 2 Simon, Leon Melvin 2 Yang, Xiaoping 2 Zhang, Wei 1 Chaudhuri, Nirmalendu 1 Coulhon, Thierry 1 Dai, Qiuyi 1 DiBenedetto, Emmanuele 1 Donaldson, Thomas K. 1 Gushchin, Anatoliĭ Konstantinovich 1 Hempel, Joachim A. 1 Lieberman, Gary M. 1 Loeper, Grégoire 1 Price, P. F. 1 Vespri, Vincenzo Riccardo 1 Weiss, Georg Sebastian 1 Xiang, Ni 1 Zhu, Xiaohua
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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
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### Fields

 109 Partial differential equations (35-XX) 31 Differential geometry (53-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 General and overarching topics; collections (00-XX) 8 Numerical analysis (65-XX) 7 Measure and integration (28-XX) 6 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 4 Potential theory (31-XX) 4 Operations research, mathematical programming (90-XX) 3 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX)

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