Edit Profile (opens in new tab) Trudinger, Neil Sidney Co-Author Distance 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: 140 Publications since 1967, including 4 Books and 4 Additional arXiv Preprints 7 Contributions as Editor Biographic References: 1 Publication Co-Authors: 33 Co-Authors with 89 Joint Publications 747 Co-Co-Authors all top 5 Co-Authors 58 single-authored 29 Wang, Xu-Jia 13 Kuo, Hung-Ju 11 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 Chaudhuri, Nirmalendu 2 Guan, Pengfei 2 Ivochkina, Nina Mikhaĭlovna 2 Loeper, Grégoire 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 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 Price, P. F. 1 Vespri, Vincenzo Riccardo 1 Weiss, Georg Sebastian 1 Xiang, Ni 1 Zhu, Xiaohua 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 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 Advanced Nonlinear Studies 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mathematics in Engineering 1 Classics in Mathematics all top 5 Fields 113 Partial differential equations (35-XX) 32 Differential geometry (53-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 10 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) 6 Convex and discrete geometry (52-XX) 6 Operations research, mathematical programming (90-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 5 Optics, electromagnetic theory (78-XX) 4 Potential theory (31-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 17,724 times in 14,903 Documents Cited by ▼ Year ▼ Elliptic partial differential equations of second order. Reprint of the 1998 ed. Zbl 1042.35002 Gilbarg, David; Trudinger, Neil S. 3,882 2001 Elliptic partial differential equations of second order. 2nd ed. Zbl 0562.35001 Gilbarg, David; Trudinger, Neil S. 3,592 1983 Elliptic partial differential equations of second order. Zbl 0361.35003 Gilbarg, David; Trudinger, Neil S. 2,277 1977 Elliptic partial differential equations of second order. Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. (Эллиптические дифференциальные уравнения с частными производными второго порядка.) Zbl 0691.35001 Gilbarg, D.; Trudinger, N. S. 2,144 1989 On imbeddings into Orlicz spaces and some applications. Zbl 0163.36402 Trudinger, N. S. 848 1967 On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703 Trudinger, N. S. 473 1967 Remarks concerning the conformal deformation of Riemannian structures on compact manifolds. Zbl 0159.23801 Trudinger, N. S. 389 1968 Orlicz-Sobolev spaces and imbedding theorems. Zbl 0216.15702 Donaldson, T. K.; Trudinger, N. S. 189 1971 Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035 Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia 179 2005 Linear elliptic operators with measurable coefficients. Zbl 0279.35025 Trudinger, Neil S. 177 1973 On the Dirichlet problem for Hessian equations. Zbl 0887.35061 Trudinger, Neil S. 173 1995 The Monge-Ampère equation and its applications. Zbl 1156.35033 Trudinger, Neil S.; Wang, Xu-Jia 156 2008 Hessian measures. II. Zbl 0947.35055 Trudinger, Neil S.; Wang, Xu-Jia 150 1999 Pointwise estimates and quasilinear parabolic equations. Zbl 0159.39303 Trudinger, N. S. 150 1968 The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018 Trudinger, Neil S. 115 1990 On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023 Trudinger, Neil S.; Wang, Xu-Jia 114 2002 Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047 Lieberman, Gary M.; Trudinger, Neil S. 96 1986 The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021 Trudinger, Neil S.; Wang, Xu-Jia 91 2000 Hessian measures. I. Zbl 0915.35039 Trudinger, Neil S.; Wang, Xu-Jia 91 1997 Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012 DiBenedetto, E.; Trudinger, Neil S. 87 1984 On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134 Trudinger, Neil S.; Wang, Xu-Jia 83 2009 Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046 Trudinger, Neil S.; Wang, Xu-Jia 82 2008 Weak solutions of Hessian equations. Zbl 0883.35035 Trudinger, Neil S. 78 1997 On some inequalities for elementary symmetric functions. Zbl 0855.26006 Lin, Mi; Trudinger, Neil S. 68 1994 The Yamabe problem for higher order curvatures. Zbl 1133.53035 Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia 67 2007 Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations. Zbl 0453.35028 Trudinger, Neil S. 65 1980 Fully nonlinear, uniformly elliptic equations under natural structure conditions. Zbl 0518.35036 Trudinger, Neil S. 65 1983 On the regularity of generalized solutions of linear, non-uniformly elliptic equations. Zbl 0218.35035 Trudinger, N. S. 65 1971 The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027 Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E. 63 1986 On the Monge mass transfer problem. Zbl 1010.49030 Trudinger, Neil S.; Wang, Xu-Jia 53 2001 Hessian measures. III. Zbl 1119.35325 Trudinger, Neil S.; Wang, Xu-Jia 53 2002 Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007 Trudinger, Neil S. 52 1988 The affine Plateau problem. Zbl 1229.53049 Trudinger, Neil S.; Wang, Xu-Jia 50 2005 The Dirichlet problem for the equation of prescribed Gauss curvature. Zbl 0524.35047 Trudinger, Neil S.; Urbas, John I. E. 46 1983 On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442 Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia 46 1999 The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418 Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia 44 2004 On new isoperimetric inequalities and symmetrization. Zbl 0883.52006 Trudinger, Neil S. 43 1997 Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001 Trudinger, Neil S. 43 1994 On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038 Trudinger, Neil S.; Wang, Xu-Jia 42 2009 Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026 Trudinger, Neil S. 41 1988 On the Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131 Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 36 2014 Recent developments in elliptic partial differential equations of Monge–Ampère type. Zbl 1130.35058 Trudinger, Neil S. 36 2006 On the local theory of prescribed Jacobian equations. Zbl 1279.35052 Trudinger, Neil S. 35 2014 Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142 Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 35 2010 Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058 Jiang, Feida; Trudinger, Neil S. 35 2017 Discrete methods for fully nonlinear elliptic equations. Zbl 0745.65058 Kuo, Hung-Ju; Trudinger, Neil S. 34 1992 Affine complete locally convex hypersurfaces. Zbl 1071.53008 Trudinger, Neil S.; Wang, Xu-Jia 34 2002 Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation. Zbl 0593.35046 Lions, Pierre-Louis; Trudinger, N. S. 33 1986 On the sharpness of a limiting case of the Sobolev imbedding theorem. Zbl 0205.12801 Hempel, J. A.; Morris, G. R.; Trudinger, N. S. 33 1970 Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014 Luo, Yousong; Trudinger, Neil S. 31 1991 On second derivative estimates for equations of Monge-Ampère type. Zbl 0557.35054 Trudinger, Neil S.; Urbas, John I. E. 30 1984 On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023 Jiang, Feida; Trudinger, Neil S. 28 2014 An imbedding theorem for H\(^\circ\)(G,\(\Omega\)) spaces. Zbl 0247.46052 Trudinger, Neil S. 28 1974 Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005 Kuo, Hung-Ju; Trudinger, Neil S. 27 1990 Gradient estimates and mean curvature. Zbl 0253.53003 Trudinger, Neil S. 27 1973 Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116 Jiang, Feida; Trudinger, Neil S. 27 2018 On locally convex hypersurfaces with boundary. Zbl 1020.53002 Trudinger, Neil S.; Wang, Xu-Jia 26 2002 A Poincaré type inequality for Hessian integrals. Zbl 0927.58013 Trudinger, Neil S.; Wang, Xu-Jia 26 1998 On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028 Trudinger, Neil S. 25 1987 On regularity and existence of viscosity solutions of nonlinear second order, elliptic equations. Zbl 0698.35056 Trudinger, Neil S. 23 1989 Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients. Zbl 0379.35022 Trudinger, Neil S. 23 1977 On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027 Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 22 2015 On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317 Liu, Jiakun; Trudinger, Neil S. 20 2010 On the twice differentiability of viscosity solutions of nonlinear elliptic equations. Zbl 0706.35031 Trudinger, Neil S. 19 1989 On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327 Trudinger, Neil S.; Wang, Xu-Jia 19 2009 Positive difference operators on general meshes. Zbl 0859.39009 Kuo, Hung-Ju; Trudinger, Neil S. 18 1996 A form of Alexandrov-Fenchel inequality. Zbl 1230.52020 Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua 18 2010 Quasilinear elliptic equations with signed measure. Zbl 1154.35351 Trudinger, Neil S.; Wang, Xu-Jia 17 2009 Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070 Jiang, Feida; Trudinger, Neil S. 17 2019 On the Dirichlet problem for general augmented Hessian equations. Zbl 1441.35136 Jiang, Feida; Trudinger, Neil S. 17 2020 A priori bounds and necessary conditions for solvability of prescribed curvature equations. Zbl 0703.35070 Trudinger, Neil S. 15 1990 On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099 Jiang, Feida; Trudinger, Neil S. 15 2018 The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016 Lin, Mi; Trudinger, Neil S. 15 1994 The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033 Trudinger, Neil S.; Wang, Xu-Jia 15 2010 Harnack inequalities for nonuniformly elliptic divergence structure equations. Zbl 0501.35012 Trudinger, Neil S. 14 1981 A new proof of the interior gradient bound for the minimal surface equation in n dimensions. Zbl 0231.53007 Trudinger, Neil S. 14 1972 Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003 Trudinger, Neil S.; Wang, Xu-Jia 14 2002 The boundary gradient estimate for quasilinear elliptic and parabolic differential equations. Zbl 0236.35022 Trudinger, Neil S. 13 1972 On the comparison principle for quasilinear divergence structure equations. Zbl 0311.35046 Trudinger, Neil S. 12 1974 Regularity of solutions of fully nonlinear elliptic equations. Zbl 0559.35030 Trudinger, Neil S. 12 1984 On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064 Jiang, Feida; Trudinger, Neil S.; Xiang, Ni 11 2016 Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089 Kuo, Hung-Ju; Trudinger, Neil S. 11 1998 On the classical solvability of near field reflector problems. Zbl 1322.35133 Trudinger, Neil; Liu, Jiakun 11 2016 On the discrete maximum principle for parabolic difference operators. Zbl 0787.65059 Kuo, Hung-Ju; Trudinger, N. S. 10 1993 A note on the discrete Aleksandrov-Bakelman maximum principle. Zbl 0963.65107 Kuo, Hung-Ju; Trudinger, Neil S. 10 2000 New maximum principles for linear elliptic equations. Zbl 1171.35030 Kuo, Hung-Ju; Trudinger, Neil S. 10 2007 A new approach to the Schauder estimates for linear elliptic equations. Zbl 0641.35023 Trudinger, Neil S. 9 1986 Local estimates for parabolic difference operators. Zbl 0846.39007 Kuo, Hung-Ju; Trudinger, Neil S. 9 1995 On an interpolation inequality and its applications to nonlinear elliptic equations. Zbl 0579.35029 Trudinger, Neil S. 8 1985 The Dirichlet problem for the prescibed curvature quotient equations with general boundary values. Zbl 0938.35060 Ivochkina, Nina M.; Lin, Mi; Trudinger, Neil S. 8 1996 From optimal transportation to conformal geometry. Zbl 1447.35157 Trudinger, Neil S. 8 2020 On the positivity of weak supersolutions of non-uniformly elliptic equations. Zbl 0415.35029 Trudinger, Neil S. 7 1978 Boundary value problems for fully nonlinear elliptic equations. Zbl 0578.35025 Trudinger, Neil S. 7 1984 On the Dirichlet problem for quasilinear uniformly elliptic equations in n variables. Zbl 0165.12502 Trudinger, N. S. 7 1967 Quasilinear second order elliptic equations with Venttsel boundary conditions. Zbl 0823.35059 Luo, Yousong; Trudinger, Neil S. 7 1994 Weak formulation of the MTW condition and convexity properties of potentials. Zbl 1511.35159 Loeper, Grégoire; Trudinger, Neil S. 7 2021 Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008 Sheng, Weimin; Trudinger, Neil; Wang, Xujia 7 2004 On the analyticity of generalized minimal surfaces. Zbl 0231.35014 Trudinger, Neil S. 6 1971 Prescribed Weingarten curvature equations. Zbl 1317.53095 Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 6 2012 On asymptotic behaviour and \(W^{2, p}\) regularity of potentials in optimal transportation. Zbl 1309.35183 Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 6 2015 A note on second derivative estimates for Monge-Ampère-type equations. Zbl 1517.35116 Trudinger, Neil S. 2 2023 Weak formulation of the MTW condition and convexity properties of potentials. Zbl 1511.35159 Loeper, Grégoire; Trudinger, Neil S. 7 2021 On the local theory of prescribed Jacobian equations revisited. Zbl 1512.90039 Trudinger, Neil S. 6 2021 The Neumann problem for Monge-Ampère type equations revisited. Zbl 1489.35156 Jiang, Feida; Trudinger, Neil S. 1 2021 On the Dirichlet problem for general augmented Hessian equations. Zbl 1441.35136 Jiang, Feida; Trudinger, Neil S. 17 2020 From optimal transportation to conformal geometry. Zbl 1447.35157 Trudinger, Neil S. 8 2020 Remarks on the Pucci conjecture. Zbl 1440.35069 Trudinger, Neil 1 2020 Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070 Jiang, Feida; Trudinger, Neil S. 17 2019 Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116 Jiang, Feida; Trudinger, Neil S. 27 2018 On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099 Jiang, Feida; Trudinger, Neil S. 15 2018 Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058 Jiang, Feida; Trudinger, Neil S. 35 2017 On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064 Jiang, Feida; Trudinger, Neil S.; Xiang, Ni 11 2016 On the classical solvability of near field reflector problems. Zbl 1322.35133 Trudinger, Neil; Liu, Jiakun 11 2016 On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027 Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 22 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 6 2015 On the Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131 Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 36 2014 On the local theory of prescribed Jacobian equations. Zbl 1279.35052 Trudinger, Neil S. 35 2014 On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023 Jiang, Feida; Trudinger, Neil S. 28 2014 Weak continuity of the complex \(k\)-Hessian operators with respect to local uniform convergence. Zbl 1296.32016 Trudinger, Neil S.; Zhang, Wei 1 2014 A note on global regularity in optimal transportion. Zbl 1283.35051 Trudinger, Neil S. 5 2013 Hessian measures on the Heisenberg group. Zbl 1282.26016 Trudinger, Neil S.; Zhang, Wei 4 2013 Prescribed Weingarten curvature equations. Zbl 1317.53095 Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 6 2012 The \(k\)-Yamabe problem. Zbl 1382.53013 Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 6 2012 The mean curvature measure. Zbl 1246.35199 Dai, Qiuyi; Trudinger, Neil S.; Wang, Xu-Jia 5 2012 Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142 Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 35 2010 On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317 Liu, Jiakun; Trudinger, Neil S. 20 2010 A form of Alexandrov-Fenchel inequality. Zbl 1230.52020 Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua 18 2010 The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033 Trudinger, Neil S.; Wang, Xu-Jia 15 2010 On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134 Trudinger, Neil S.; Wang, Xu-Jia 83 2009 On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038 Trudinger, Neil S.; Wang, Xu-Jia 42 2009 On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327 Trudinger, Neil S.; Wang, Xu-Jia 19 2009 Quasilinear elliptic equations with signed measure. Zbl 1154.35351 Trudinger, Neil S.; Wang, Xu-Jia 17 2009 The Monge-Ampère equation and its applications. Zbl 1156.35033 Trudinger, Neil S.; Wang, Xu-Jia 156 2008 Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046 Trudinger, Neil S.; Wang, Xu-Jia 82 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 67 2007 New maximum principles for linear elliptic equations. Zbl 1171.35030 Kuo, Hung-Ju; Trudinger, Neil S. 10 2007 Recent developments in elliptic partial differential equations of Monge–Ampère type. Zbl 1130.35058 Trudinger, Neil S. 36 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 179 2005 The affine Plateau problem. Zbl 1229.53049 Trudinger, Neil S.; Wang, Xu-Jia 50 2005 An Alexandrov type theorem for \(k\)-convex functions. Zbl 1082.26010 Chaudhuri, Nirmalendu; Trudinger, Neil S. 2 2005 Estimates for solutions of fully nonlinear discrete schemes. Zbl 1075.65134 Kuo, Hung-Ju; Trudinger, Neil S. 2 2005 The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418 Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia 44 2004 Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008 Sheng, Weimin; Trudinger, Neil; Wang, Xujia 7 2004 The Chern conjecture in affine geometry. Zbl 1328.53011 Trudinger, Neil S. 2 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 114 2002 Hessian measures. III. Zbl 1119.35325 Trudinger, Neil S.; Wang, Xu-Jia 53 2002 Affine complete locally convex hypersurfaces. Zbl 1071.53008 Trudinger, Neil S.; Wang, Xu-Jia 34 2002 On locally convex hypersurfaces with boundary. Zbl 1020.53002 Trudinger, Neil S.; Wang, Xu-Jia 26 2002 Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003 Trudinger, Neil S.; Wang, Xu-Jia 14 2002 Elliptic partial differential equations of second order. Reprint of the 1998 ed. Zbl 1042.35002 Gilbarg, David; Trudinger, Neil S. 3,882 2001 On the Monge mass transfer problem. Zbl 1010.49030 Trudinger, Neil S.; Wang, Xu-Jia 53 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 91 2000 A note on the discrete Aleksandrov-Bakelman maximum principle. Zbl 0963.65107 Kuo, Hung-Ju; Trudinger, Neil S. 10 2000 Hessian measures. II. Zbl 0947.35055 Trudinger, Neil S.; Wang, Xu-Jia 150 1999 On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442 Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia 46 1999 A Poincaré type inequality for Hessian integrals. Zbl 0927.58013 Trudinger, Neil S.; Wang, Xu-Jia 26 1998 Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089 Kuo, Hung-Ju; Trudinger, Neil S. 11 1998 Hessian measures. I. Zbl 0915.35039 Trudinger, Neil S.; Wang, Xu-Jia 91 1997 Weak solutions of Hessian equations. Zbl 0883.35035 Trudinger, Neil S. 78 1997 On new isoperimetric inequalities and symmetrization. Zbl 0883.52006 Trudinger, Neil S. 43 1997 Positive difference operators on general meshes. Zbl 0859.39009 Kuo, Hung-Ju; Trudinger, Neil S. 18 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. 8 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. 173 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. 68 1994 Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001 Trudinger, Neil S. 43 1994 The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016 Lin, Mi; Trudinger, Neil S. 15 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. 10 1993 Discrete methods for fully nonlinear elliptic equations. Zbl 0745.65058 Kuo, Hung-Ju; Trudinger, Neil S. 34 1992 Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014 Luo, Yousong; Trudinger, Neil S. 31 1991 The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018 Trudinger, Neil S. 115 1990 Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005 Kuo, Hung-Ju; Trudinger, Neil S. 27 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. 2 1990 Elliptic partial differential equations of second order. Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. (Эллиптические дифференциальные уравнения с частными производными второго порядка.) Zbl 0691.35001 Gilbarg, D.; Trudinger, N. S. 2,144 1989 On regularity and existence of viscosity solutions of nonlinear second order, elliptic equations. Zbl 0698.35056 Trudinger, Neil S. 23 1989 On the twice differentiability of viscosity solutions of nonlinear elliptic equations. Zbl 0706.35031 Trudinger, Neil S. 19 1989 Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007 Trudinger, Neil S. 52 1988 Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026 Trudinger, Neil S. 41 1988 On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028 Trudinger, Neil S. 25 1987 Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047 Lieberman, Gary M.; Trudinger, Neil S. 96 1986 The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027 Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E. 63 1986 Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation. Zbl 0593.35046 Lions, Pierre-Louis; Trudinger, N. S. 33 1986 A new approach to the Schauder estimates for linear elliptic equations. Zbl 0641.35023 Trudinger, Neil S. 9 1986 The Neumann problem for equations of Monge-Ampère type. Zbl 0617.35050 Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E. 4 1986 Classical boundary value problems for Monge-Ampère type equations. Zbl 0695.35075 Trudinger, N. S. 4 1986 Geometry and partial differential equations. Miniconference held in Canberra, Australia, August 1-3, 1985. Zbl 0583.00013 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 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,387 Authors 71 Trudinger, Neil Sidney 61 Rădulescu, Vicenţiu D. 59 Do Ó, João M. Bezerra 58 Lu, Guozhen 57 Alves, Claudianor Oliveira 50 Wei, Juncheng 48 Papageorgiou, Nikolaos S. 44 Li, YanYan 43 Lieberman, Gary M. 42 Wang, Xu-Jia 40 Musolino, Paolo 40 Véron, Laurent 37 Yang, Yunyan 36 Wang, Zhi-Qiang 35 Bao, Jiguang 35 Figueiredo, Giovany Malcher 35 García-Melián, Jorge 34 Byeon, Jaeyoung 33 Dancer, Edward Norman 33 Mingione, Giuseppe 33 Valdinoci, Enrico 33 Zhang, Zhijun 32 Cianchi, Andrea 32 Pistoia, Angela 32 Wang, Lihe 31 Chipot, Michel 30 Caffarelli, Luis Ángel 30 Sciunzi, Berardino 30 Souto de Medeiros, Everaldo 28 Krylov, Nicolaĭ Vladimirovich 28 Lou, Yuan 27 Drábek, Pavel 27 Quaas, Alexander 27 Tang, Chun-Lei 27 Winkler, Michael 27 Xu, Xiangsheng 26 Du, Lili 26 López Camino, Rafael 26 Ruf, Bernhard 25 Lanza de Cristoforis, Massimo 25 Rossi, Julio Daniel 24 Dalla Riva, Matteo 24 Figalli, Alessio 24 Fuchs, Martin 24 Li, Dongsheng 24 Lions, Pierre-Louis 24 da Silva Montenegro, Marcelo 24 Severo, Uberlandio Batista 24 Sweers, Guido H. 23 Byun, Sun-Sig 23 Chen, Gui-Qiang G. 23 Ciraolo, Giulio 23 Du, Yihong 23 Feng, Xiaobing 23 Jiang, Feida 23 Vitolo, Antonio 23 Zhu, Maochun 22 Chen, Lu 22 Escher, Joachim 22 Ivochkina, Nina Mikhaĭlovna 22 Lee, Ki-Ahm 22 Pan, Xingbin 22 Porru, Giovanni 22 Shahgholian, Henrik 22 Xin, Zhouping 22 Zou, Wenming 21 Boccardo, Lucio 21 Guo, Yujin 21 Kuusi, Tuomo 21 Le, Nam Q. 21 Miyagaki, Olimpio Hiroshi 21 Nguyễn Văn Hoàng 21 Palagachev, Dian K. 21 Rigoli, Marco 21 Surnachëv, Mikhaĭl Dmitrievich 20 Alkhutov, Yuriy Alexandrovich 20 Anderson, Michael T. 20 Chabrowski, Jan H. 20 Feldman, Mikhail 20 Ghergu, Marius 20 Ho, Pak Tung 20 Liu, Jiakun 20 Mohammed, Ahmed 20 Nguyen, Luc 20 Nochetto, Ricardo Horacio 20 Novaga, Matteo 20 Sirakov, Boyan Slavchev 20 Ubilla, Pedro 20 Verbitsky, Igor E. 20 Yamamoto, Masahiro 20 Zhang, Jianjun 20 Zhang, Zhitao 19 Bonheure, Denis 19 Feng, Meiqiang 19 Gutiérrez, Cristian E. 19 Il’yasov, Yavdat Shavkatovich 19 Lam, Nguyen 19 Malchiodi, Andrea 19 Maz’ya, Vladimir Gilelevich 19 Ni, Wei-Ming ...and 11,287 more Authors all top 5 Cited in 672 Serials 899 Journal of Differential Equations 749 Journal of Mathematical Analysis and Applications 643 Nonlinear Analysis. 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Académie des Sciences, Paris 59 Journal of Computational Physics 58 Inventiones Mathematicae 56 Differential Equations 56 Science China. Mathematics 52 Journal für die Reine und Angewandte Mathematik 52 Revista Matemática Iberoamericana 51 Mathematics of Computation 51 Journal of Scientific Computing 51 Stochastic Processes and their Applications 50 Bulletin of the Australian Mathematical Society 49 Topological Methods in Nonlinear Analysis 47 Journal of Evolution Equations 46 Computer Methods in Applied Mechanics and Engineering 46 Nonlinearity 46 Results in Mathematics 46 Journal of the European Mathematical Society (JEMS) 45 Mathematical Notes 45 SIAM Journal on Numerical Analysis 45 Discrete and Continuous Dynamical Systems. Series S 42 The Annals of Probability 41 Inverse Problems 41 Chinese Annals of Mathematics. Series B 40 Numerical Functional Analysis and Optimization 39 Differential Geometry and its Applications 38 Applied Numerical Mathematics 38 Numerical Methods for Partial Differential Equations 38 Analysis & PDE 37 SIAM Journal on Control and Optimization 37 Zeitschrift für Analysis und ihre Anwendungen 36 Advances in Calculus of Variations 35 Acta Applicandae Mathematicae 35 SIAM Journal on Applied Mathematics 35 Abstract and Applied Analysis 35 Mediterranean Journal of Mathematics 35 Journal of Fixed Point Theory and Applications 34 Acta Mathematicae Applicatae Sinica. English Series 34 Milan Journal of Mathematics 33 Israel Journal of Mathematics 33 Geometriae Dedicata 33 Siberian Mathematical Journal 33 The Annals of Applied Probability 32 Journal of Geometry and Physics 32 Annales de l’Institut Fourier 32 Probability Theory and Related Fields 32 Journal of Inequalities and Applications 32 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 32 Mathematics in Engineering ...and 572 more Serials all top 5 Cited in 60 Fields 11,463 Partial differential equations (35-XX) 1,727 Differential geometry (53-XX) 1,374 Calculus of variations and optimal control; optimization (49-XX) 1,183 Global analysis, analysis on manifolds (58-XX) 1,179 Fluid mechanics (76-XX) 1,122 Numerical analysis (65-XX) 902 Functional analysis (46-XX) 793 Operator theory (47-XX) 649 Biology and other natural sciences (92-XX) 607 Probability theory and stochastic processes (60-XX) 494 Potential theory (31-XX) 414 Mechanics of deformable solids (74-XX) 402 Real functions (26-XX) 338 Several complex variables and analytic spaces (32-XX) 327 Statistical mechanics, structure of matter (82-XX) 283 Optics, electromagnetic theory (78-XX) 277 Ordinary differential equations (34-XX) 248 Harmonic analysis on Euclidean spaces (42-XX) 247 Quantum theory (81-XX) 214 Dynamical systems and ergodic theory (37-XX) 200 Functions of a complex variable (30-XX) 195 Systems theory; control (93-XX) 173 Integral equations (45-XX) 170 Convex and discrete geometry (52-XX) 162 Relativity and gravitational theory (83-XX) 151 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 131 Classical thermodynamics, heat transfer (80-XX) 108 Operations research, mathematical programming (90-XX) 99 Measure and integration (28-XX) 85 Manifolds and cell complexes (57-XX) 68 Geophysics (86-XX) 63 Computer science (68-XX) 59 Algebraic geometry (14-XX) 58 Mechanics of particles and systems (70-XX) 57 Approximations and expansions (41-XX) 54 Statistics (62-XX) 46 Information and communication theory, circuits (94-XX) 34 Difference and functional equations (39-XX) 33 Abstract harmonic analysis (43-XX) 32 Topological groups, Lie groups (22-XX) 31 Astronomy and astrophysics (85-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 General topology (54-XX) 16 Special functions (33-XX) 16 Geometry (51-XX) 16 Algebraic topology (55-XX) 14 Integral transforms, operational calculus (44-XX) 12 History and biography (01-XX) 12 Combinatorics (05-XX) 12 Number theory (11-XX) 9 General and overarching topics; collections (00-XX) 7 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 4 Sequences, series, summability (40-XX) 3 Category theory; homological algebra (18-XX) 3 Mathematics education (97-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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