Edit Profile (opens in new tab) Trudinger, Neil Sidney Compute Distance To: Compute 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 all top 5 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 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Classics in Mathematics all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0562.35001Gilbarg, David; Trudinger, Neil S. 2,777 1983 Elliptic partial differential equations of second order. Reprint of the 1998 ed. Zbl 1042.35002Gilbarg, David; Trudinger, Neil S. 2,622 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 0691.35001Gilbarg, D.; Trudinger, N. S. 1,948 1989 Elliptic partial differential equations of second order. Zbl 0361.35003Gilbarg, David; Trudinger, Neil S. 1,884 1977 On imbeddings into Orlicz spaces and some applications. Zbl 0163.36402Trudinger, N. S. 611 1967 On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703Trudinger, N. S. 382 1967 Remarks concerning the conformal deformation of Riemannian structures on compact manifolds. Zbl 0159.23801Trudinger, N. S. 297 1968 Orlicz-Sobolev spaces and imbedding theorems. Zbl 0216.15702Donaldson, T. K.; Trudinger, N. S. 152 1971 Linear elliptic operators with measurable coefficients. Zbl 0279.35025Trudinger, Neil S. 140 1973 On the Dirichlet problem for Hessian equations. Zbl 0887.35061Trudinger, Neil S. 137 1995 Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia 133 2005 Pointwise estimates and quasilinear parabolic equations. Zbl 0159.39303Trudinger, N. S. 121 1968 Hessian measures. II. Zbl 0947.35055Trudinger, Neil S.; Wang, Xu-Jia 115 1999 The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018Trudinger, Neil S. 92 1990 The Monge-Ampère equation and its applications. Zbl 1156.35033Trudinger, Neil S.; Wang, Xu-Jia 89 2008 On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023Trudinger, Neil S.; Wang, Xu-Jia 84 2002 Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047Lieberman, Gary M.; Trudinger, Neil S. 82 1986 The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021Trudinger, Neil S.; Wang, Xu-Jia 76 2000 Hessian measures. I. Zbl 0915.35039Trudinger, Neil S.; Wang, Xu-Jia 68 1997 Weak solutions of Hessian equations. Zbl 0883.35035Trudinger, Neil S. 67 1997 On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134Trudinger, Neil S.; Wang, Xu-Jia 62 2009 Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046Trudinger, Neil S.; Wang, Xu-Jia 61 2008 Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012DiBenedetto, E.; Trudinger, Neil S. 61 1984 Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations. Zbl 0453.35028Trudinger, Neil S. 60 1980 Fully nonlinear, uniformly elliptic equations under natural structure conditions. Zbl 0518.35036Trudinger, Neil S. 55 1983 The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E. 53 1986 The Yamabe problem for higher order curvatures. Zbl 1133.53035Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia 52 2007 Hessian measures. III. Zbl 1119.35325Trudinger, Neil S.; Wang, Xu-Jia 47 2002 On the Monge mass transfer problem. Zbl 1010.49030Trudinger, Neil S.; Wang, Xu-Jia 46 2001 On the regularity of generalized solutions of linear, non-uniformly elliptic equations. Zbl 0218.35035Trudinger, N. S. 46 1971 On some inequalities for elementary symmetric functions. Zbl 0855.26006Lin, Mi; Trudinger, Neil S. 45 1994 Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007Trudinger, Neil S. 44 1988 On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia 39 1999 On new isoperimetric inequalities and symmetrization. Zbl 0883.52006Trudinger, Neil S. 39 1997 The Dirichlet problem for the equation of prescribed Gauss curvature. Zbl 0524.35047Trudinger, Neil S.; Urbas, John I. E. 38 1983 The affine Plateau problem. Zbl 1229.53049Trudinger, Neil S.; Wang, Xu-Jia 38 2005 On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038Trudinger, Neil S.; Wang, Xu-Jia 37 2009 Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026Trudinger, Neil S. 34 1988 Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001Trudinger, Neil S. 30 1994 Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 30 2010 Discrete methods for fully nonlinear elliptic equations. Zbl 0745.65058Kuo, Hung-Ju; Trudinger, Neil S. 30 1992 The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia 30 2004 On the sharpness of a limiting case of the Sobolev imbedding theorem. Zbl 0205.12801Hempel, J. A.; Morris, G. R.; Trudinger, N. S. 30 1970 Affine complete locally convex hypersurfaces. Zbl 1071.53008Trudinger, Neil S.; Wang, Xu-Jia 29 2002 Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation. Zbl 0593.35046Lions, Pierre-Louis; Trudinger, N. S. 29 1986 Recent developments in elliptic partial differential equations of Monge–Ampère type. Zbl 1130.35058Trudinger, Neil S. 27 2006 Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014Luo, Yousong; Trudinger, Neil S. 26 1991 On second derivative estimates for equations of Monge-Ampère type. Zbl 0557.35054Trudinger, Neil S.; Urbas, John I. E. 25 1984 A Poincaré type inequality for Hessian integrals. Zbl 0927.58013Trudinger, Neil S.; Wang, Xu-Jia 24 1998 Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005Kuo, Hung-Ju; Trudinger, Neil S. 24 1990 On the local theory of prescribed Jacobian equations. Zbl 1279.35052Trudinger, Neil S. 23 2014 Gradient estimates and mean curvature. Zbl 0253.53003Trudinger, Neil S. 22 1973 Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients. Zbl 0379.35022Trudinger, Neil S. 21 1977 On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028Trudinger, Neil S. 21 1987 On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023Jiang, Feida; Trudinger, Neil S. 20 2014 On the Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 20 2014 An imbedding theorem for H\(^\circ\)(G,\(\Omega\)) spaces. Zbl 0247.46052Trudinger, Neil S. 18 1974 On the twice differentiability of viscosity solutions of nonlinear elliptic equations. Zbl 0706.35031Trudinger, Neil S. 18 1989 On locally convex hypersurfaces with boundary. Zbl 1020.53002Trudinger, Neil S.; Wang, Xu-Jia 17 2002 Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058Jiang, Feida; Trudinger, Neil S. 17 2017 Quasilinear elliptic equations with signed measure. Zbl 1154.35351Trudinger, Neil S.; Wang, Xu-Jia 16 2009 On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317Liu, Jiakun; Trudinger, Neil S. 16 2010 Positive difference operators on general meshes. Zbl 0859.39009Kuo, Hung-Ju; Trudinger, Neil S. 15 1996 On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 15 2015 On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327Trudinger, Neil S.; Wang, Xu-Jia 15 2009 A priori bounds and necessary conditions for solvability of prescribed curvature equations. Zbl 0703.35070Trudinger, Neil S. 15 1990 A form of Alexandrov-Fenchel inequality. Zbl 1230.52020Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua 15 2010 Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003Trudinger, Neil S.; Wang, Xu-Jia 13 2002 The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033Trudinger, Neil S.; Wang, Xu-Jia 13 2010 The boundary gradient estimate for quasilinear elliptic and parabolic differential equations. Zbl 0236.35022Trudinger, Neil S. 12 1972 Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116Jiang, Feida; Trudinger, Neil S. 12 2018 The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016Lin, Mi; Trudinger, Neil S. 11 1994 On the comparison principle for quasilinear divergence structure equations. Zbl 0311.35046Trudinger, Neil S. 11 1974 A new proof of the interior gradient bound for the minimal surface equation in n dimensions. Zbl 0231.53007Trudinger, Neil S. 11 1972 Harnack inequalities for nonuniformly elliptic divergence structure equations. Zbl 0501.35012Trudinger, Neil S. 10 1981 Regularity of solutions of fully nonlinear elliptic equations. Zbl 0559.35030Trudinger, Neil S. 10 1984 On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064Jiang, Feida; Trudinger, Neil S.; Xiang, Ni 10 2016 Local estimates for parabolic difference operators. Zbl 0846.39007Kuo, Hung-Ju; Trudinger, Neil S. 9 1995 Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089Kuo, Hung-Ju; Trudinger, Neil S. 9 1998 A note on the discrete Aleksandrov-Bakelman maximum principle. Zbl 0963.65107Kuo, Hung-Ju; Trudinger, Neil S. 9 2000 On the discrete maximum principle for parabolic difference operators. Zbl 0787.65059Kuo, Hung-Ju; Trudinger, N. S. 9 1993 On an interpolation inequality and its applications to nonlinear elliptic equations. Zbl 0579.35029Trudinger, Neil S. 8 1985 On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099Jiang, Feida; Trudinger, Neil S. 8 2018 On the classical solvability of near field reflector problems. Zbl 1322.35133Trudinger, Neil; Liu, Jiakun 8 2016 On the positivity of weak supersolutions of non-uniformly elliptic equations. Zbl 0415.35029Trudinger, Neil S. 7 1978 New maximum principles for linear elliptic equations. Zbl 1171.35030Kuo, Hung-Ju; Trudinger, Neil S. 6 2007 Quasilinear second order elliptic equations with Venttsel boundary conditions. Zbl 0823.35059Luo, Yousong; Trudinger, Neil S. 6 1994 On the analyticity of generalized minimal surfaces. Zbl 0231.35014Trudinger, Neil S. 6 1971 On the Dirichlet problem for quasilinear uniformly elliptic equations in n variables. Zbl 0165.12502Trudinger, N. S. 6 1967 Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070Jiang, Feida; Trudinger, Neil S. 6 2019 On asymptotic behaviour and \(W^{2, p}\) regularity of potentials in optimal transportation. Zbl 1309.35183Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 5 2015 The Dirichlet problem for the prescibed curvature quotient equations with general boundary values. Zbl 0938.35060Ivochkina, Nina M.; Lin, Mi; Trudinger, Neil S. 5 1996 Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 5 2006 Generalized solutions of quasilinear, differential inequalities. I: Elliptic operators. Zbl 0235.35013Trudinger, Neil S. 5 1971 On regularity and existence of viscosity solutions of nonlinear second order, elliptic equations. Zbl 0698.35056Trudinger, Neil S. 5 1989 The \(k\)-Yamabe problem. Zbl 1382.53013Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 5 2012 On Hessian measures for non-commuting vector fields. Zbl 1172.35395Trudinger, Neil S. 4 2006 Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008Sheng, Weimin; Trudinger, Neil; Wang, Xujia 4 2004 A note on global regularity in optimal transportion. Zbl 1283.35051Trudinger, Neil S. 4 2013 Lipschitz continuous solutions of elliptic equations of the form \({\mathcal A} (Du)D^ 2u = 0\). Zbl 0174.15801Trudinger, N. S. 4 1969 Weak formulation of the MTW condition and convexity properties of potentials. Zbl 07402088Loeper, Grégoire; Trudinger, Neil S. 1 2021 On the Dirichlet problem for general augmented Hessian equations. Zbl 1441.35136Jiang, Feida; Trudinger, Neil S. 3 2020 From optimal transportation to conformal geometry. Zbl 1447.35157Trudinger, Neil S. 1 2020 Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070Jiang, Feida; Trudinger, Neil S. 6 2019 Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116Jiang, Feida; Trudinger, Neil S. 12 2018 On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099Jiang, Feida; Trudinger, Neil S. 8 2018 Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058Jiang, Feida; Trudinger, Neil S. 17 2017 On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064Jiang, Feida; Trudinger, Neil S.; Xiang, Ni 10 2016 On the classical solvability of near field reflector problems. Zbl 1322.35133Trudinger, Neil; Liu, Jiakun 8 2016 On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 15 2015 On asymptotic behaviour and \(W^{2, p}\) regularity of potentials in optimal transportation. Zbl 1309.35183Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 5 2015 On the local theory of prescribed Jacobian equations. Zbl 1279.35052Trudinger, Neil S. 23 2014 On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023Jiang, Feida; Trudinger, Neil S. 20 2014 On the Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 20 2014 A note on global regularity in optimal transportion. Zbl 1283.35051Trudinger, Neil S. 4 2013 Hessian measures on the Heisenberg group. Zbl 1282.26016Trudinger, Neil S.; Zhang, Wei 4 2013 The \(k\)-Yamabe problem. Zbl 1382.53013Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 5 2012 Prescribed Weingarten curvature equations. Zbl 1317.53095Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 3 2012 The mean curvature measure. Zbl 1246.35199Dai, Qiuyi; Trudinger, Neil S.; Wang, Xu-Jia 3 2012 Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 30 2010 On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317Liu, Jiakun; Trudinger, Neil S. 16 2010 A form of Alexandrov-Fenchel inequality. Zbl 1230.52020Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua 15 2010 The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033Trudinger, Neil S.; Wang, Xu-Jia 13 2010 On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134Trudinger, Neil S.; Wang, Xu-Jia 62 2009 On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038Trudinger, Neil S.; Wang, Xu-Jia 37 2009 Quasilinear elliptic equations with signed measure. Zbl 1154.35351Trudinger, Neil S.; Wang, Xu-Jia 16 2009 On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327Trudinger, Neil S.; Wang, Xu-Jia 15 2009 The Monge-Ampère equation and its applications. Zbl 1156.35033Trudinger, Neil S.; Wang, Xu-Jia 89 2008 Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046Trudinger, Neil S.; Wang, Xu-Jia 61 2008 Preface to a collection of refereed papers devoted to the memory of Sergio Campanato and also of Guido Stampacchia. Zbl 1136.01312Maugeri, 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 1139.35034Kuo, Hung-Ju; Trudinger, Neil S. 1 2008 The Yamabe problem for higher order curvatures. Zbl 1133.53035Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia 52 2007 New maximum principles for linear elliptic equations. Zbl 1171.35030Kuo, Hung-Ju; Trudinger, Neil S. 6 2007 Recent developments in elliptic partial differential equations of Monge–Ampère type. Zbl 1130.35058Trudinger, Neil S. 27 2006 Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 5 2006 On Hessian measures for non-commuting vector fields. Zbl 1172.35395Trudinger, Neil S. 4 2006 Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia 133 2005 The affine Plateau problem. Zbl 1229.53049Trudinger, Neil S.; Wang, Xu-Jia 38 2005 Estimates for solutions of fully nonlinear discrete schemes. Zbl 1075.65134Kuo, Hung-Ju; Trudinger, Neil S. 2 2005 An Alexandrov type theorem for \(k\)-convex functions. Zbl 1082.26010Chaudhuri, Nirmalendu; Trudinger, Neil S. 1 2005 The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia 30 2004 Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008Sheng, Weimin; Trudinger, Neil; Wang, Xujia 4 2004 The Chern conjecture in affine geometry. Zbl 1328.53011Trudinger, Neil S. 1 2004 On the affine diameter of closed convex hypersurfaces. Zbl 1055.53006Sheng, Weimin; Trudinger, Neil S. 1 2003 On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023Trudinger, Neil S.; Wang, Xu-Jia 84 2002 Hessian measures. III. Zbl 1119.35325Trudinger, Neil S.; Wang, Xu-Jia 47 2002 Affine complete locally convex hypersurfaces. Zbl 1071.53008Trudinger, Neil S.; Wang, Xu-Jia 29 2002 On locally convex hypersurfaces with boundary. Zbl 1020.53002Trudinger, Neil S.; Wang, Xu-Jia 17 2002 Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003Trudinger, Neil S.; Wang, Xu-Jia 13 2002 Elliptic partial differential equations of second order. Reprint of the 1998 ed. Zbl 1042.35002Gilbarg, David; Trudinger, Neil S. 2,622 2001 On the Monge mass transfer problem. Zbl 1010.49030Trudinger, Neil S.; Wang, Xu-Jia 46 2001 Glimpses of nonlinear partial differential equations in the twentieth century. A priori estimates and the Bernstein problem. Zbl 1003.35002Trudinger, Neil S. 2 2001 The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021Trudinger, Neil S.; Wang, Xu-Jia 76 2000 A note on the discrete Aleksandrov-Bakelman maximum principle. Zbl 0963.65107Kuo, Hung-Ju; Trudinger, Neil S. 9 2000 Hessian measures. II. Zbl 0947.35055Trudinger, Neil S.; Wang, Xu-Jia 115 1999 On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia 39 1999 A Poincaré type inequality for Hessian integrals. Zbl 0927.58013Trudinger, Neil S.; Wang, Xu-Jia 24 1998 Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089Kuo, Hung-Ju; Trudinger, Neil S. 9 1998 Hessian measures. I. Zbl 0915.35039Trudinger, Neil S.; Wang, Xu-Jia 68 1997 Weak solutions of Hessian equations. Zbl 0883.35035Trudinger, Neil S. 67 1997 On new isoperimetric inequalities and symmetrization. Zbl 0883.52006Trudinger, Neil S. 39 1997 Positive difference operators on general meshes. Zbl 0859.39009Kuo, Hung-Ju; Trudinger, Neil S. 15 1996 The Dirichlet problem for the prescibed curvature quotient equations with general boundary values. Zbl 0938.35060Ivochkina, Nina M.; Lin, Mi; Trudinger, Neil S. 5 1996 Maximum principles for difference operators. Zbl 0843.39015Kuo, Hung-Ju; Trudinger, Neil S. 2 1996 Isoperimetric inequalities and nonlinear elliptic equations. Zbl 0882.35045Trudinger, N. S. 2 1996 On the Dirichlet problem for Hessian equations. Zbl 0887.35061Trudinger, Neil S. 137 1995 Local estimates for parabolic difference operators. Zbl 0846.39007Kuo, Hung-Ju; Trudinger, Neil S. 9 1995 On some inequalities for elementary symmetric functions. Zbl 0855.26006Lin, Mi; Trudinger, Neil S. 45 1994 Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001Trudinger, Neil S. 30 1994 The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016Lin, Mi; Trudinger, Neil S. 11 1994 Quasilinear second order elliptic equations with Venttsel boundary conditions. Zbl 0823.35059Luo, Yousong; Trudinger, Neil S. 6 1994 Maximum principles for curvature quotient equations. Zbl 0828.35020Trudinger, Neil S. 1 1994 On the discrete maximum principle for parabolic difference operators. Zbl 0787.65059Kuo, Hung-Ju; Trudinger, N. S. 9 1993 Discrete methods for fully nonlinear elliptic equations. Zbl 0745.65058Kuo, Hung-Ju; Trudinger, Neil S. 30 1992 Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014Luo, Yousong; Trudinger, Neil S. 26 1991 The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018Trudinger, Neil S. 92 1990 Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005Kuo, Hung-Ju; Trudinger, Neil S. 24 1990 A priori bounds and necessary conditions for solvability of prescribed curvature equations. Zbl 0703.35070Trudinger, Neil S. 15 1990 A priori bounds for graphs with prescribed curvature. Zbl 0714.53008Trudinger, Neil S. 1 1990 Elliptic partial differential equations of second order. (Ehllipticheskie differentsial’nye uravneniya s chastnymi proizvodnymi vtorogo poryadka). Transl. from the English by L. P. Kuptsov. Transl. ed. by A. K. Gushchin. (Ehllipticheskie differentsial’nye uravneniya s chastnymi proizvodnymi vtorogo poryadka.) Zbl 0691.35001Gilbarg, D.; Trudinger, N. S. 1,948 1989 On the twice differentiability of viscosity solutions of nonlinear elliptic equations. Zbl 0706.35031Trudinger, Neil S. 18 1989 On regularity and existence of viscosity solutions of nonlinear second order, elliptic equations. Zbl 0698.35056Trudinger, Neil S. 5 1989 Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007Trudinger, Neil S. 44 1988 Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026Trudinger, Neil S. 34 1988 On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028Trudinger, Neil S. 21 1987 Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047Lieberman, Gary M.; Trudinger, Neil S. 82 1986 The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E. 53 1986 Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation. Zbl 0593.35046Lions, Pierre-Louis; Trudinger, N. S. 29 1986 A new approach to the Schauder estimates for linear elliptic equations. Zbl 0641.35023Trudinger, Neil S. 3 1986 Classical boundary value problems for Monge-Ampère type equations. Zbl 0695.35075Trudinger, N. S. 3 1986 The Neumann problem for equations of Monge-Ampère type. Zbl 0617.35050Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E. 2 1986 Graphs with prescribed curvature. Zbl 0601.35036Trudinger, Neil. S. 1 1986 On an interpolation inequality and its applications to nonlinear elliptic equations. Zbl 0579.35029Trudinger, Neil S. 8 1985 Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012DiBenedetto, E.; Trudinger, Neil S. 61 1984 On second derivative estimates for equations of Monge-Ampère type. Zbl 0557.35054Trudinger, Neil S.; Urbas, John I. E. 25 1984 Regularity of solutions of fully nonlinear elliptic equations. Zbl 0559.35030Trudinger, Neil S. 10 1984 Boundary value problems for fully nonlinear elliptic equations. Zbl 0578.35025Trudinger, Neil S. 3 1984 Elliptic partial differential equations of second order. 2nd ed. Zbl 0562.35001Gilbarg, David; Trudinger, Neil S. 2,777 1983 Fully nonlinear, uniformly elliptic equations under natural structure conditions. Zbl 0518.35036Trudinger, Neil S. 55 1983 ...and 28 more Documents all cited Publications top 5 cited Publications 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 all top 5 Cited in 601 Serials 755 Journal of Differential Equations 632 Journal of Mathematical Analysis and Applications 553 Nonlinear Analysis. 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