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: 136 Publications since 1967, including 4 Books 7 Contributions as Editor Co-Authors: 33 Co-Authors with 86 Joint Publications 697 Co-Co-Authors all top 5 Co-Authors 57 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 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 110 Partial differential equations (35-XX) 31 Differential geometry (53-XX) 18 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) 6 Operations research, mathematical programming (90-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 4 Potential theory (31-XX) 4 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 131 Publications have been cited 15,198 times in 12,805 Documents Cited by ▼ Year ▼ Elliptic partial differential equations of second order. Reprint of the 1998 ed. Zbl 1042.35002Gilbarg, David; Trudinger, Neil S. 3,068 2001 Elliptic partial differential equations of second order. 2nd ed. Zbl 0562.35001Gilbarg, David; Trudinger, Neil S. 3,031 1983 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. 2,055 1989 Elliptic partial differential equations of second order. Zbl 0361.35003Gilbarg, David; Trudinger, Neil S. 2,041 1977 On imbeddings into Orlicz spaces and some applications. Zbl 0163.36402Trudinger, N. S. 699 1967 On Harnack type inequalities and their application to quasilinear elliptic equations. Zbl 0153.42703Trudinger, N. S. 419 1967 Remarks concerning the conformal deformation of Riemannian structures on compact manifolds. Zbl 0159.23801Trudinger, N. S. 337 1968 Orlicz-Sobolev spaces and imbedding theorems. Zbl 0216.15702Donaldson, T. K.; Trudinger, N. S. 163 1971 Linear elliptic operators with measurable coefficients. Zbl 0279.35025Trudinger, Neil S. 155 1973 Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia 153 2005 On the Dirichlet problem for Hessian equations. Zbl 0887.35061Trudinger, Neil S. 151 1995 Pointwise estimates and quasilinear parabolic equations. Zbl 0159.39303Trudinger, N. S. 134 1968 Hessian measures. II. Zbl 0947.35055Trudinger, Neil S.; Wang, Xu-Jia 130 1999 The Monge-Ampère equation and its applications. Zbl 1156.35033Trudinger, Neil S.; Wang, Xu-Jia 118 2008 On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023Trudinger, Neil S.; Wang, Xu-Jia 99 2002 The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018Trudinger, Neil S. 98 1990 Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047Lieberman, Gary M.; Trudinger, Neil S. 90 1986 The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021Trudinger, Neil S.; Wang, Xu-Jia 81 2000 Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012DiBenedetto, E.; Trudinger, Neil S. 74 1984 Hessian measures. I. Zbl 0915.35039Trudinger, Neil S.; Wang, Xu-Jia 73 1997 On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134Trudinger, Neil S.; Wang, Xu-Jia 72 2009 Weak solutions of Hessian equations. Zbl 0883.35035Trudinger, Neil S. 72 1997 Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046Trudinger, Neil S.; Wang, Xu-Jia 67 2008 Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations. Zbl 0453.35028Trudinger, Neil S. 63 1980 Fully nonlinear, uniformly elliptic equations under natural structure conditions. Zbl 0518.35036Trudinger, Neil S. 59 1983 The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E. 57 1986 The Yamabe problem for higher order curvatures. Zbl 1133.53035Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia 57 2007 On some inequalities for elementary symmetric functions. Zbl 0855.26006Lin, Mi; Trudinger, Neil S. 54 1994 On the Monge mass transfer problem. Zbl 1010.49030Trudinger, Neil S.; Wang, Xu-Jia 52 2001 On the regularity of generalized solutions of linear, non-uniformly elliptic equations. Zbl 0218.35035Trudinger, N. S. 52 1971 Hessian measures. III. Zbl 1119.35325Trudinger, Neil S.; Wang, Xu-Jia 49 2002 Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007Trudinger, Neil S. 48 1988 On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia 45 1999 The affine Plateau problem. Zbl 1229.53049Trudinger, Neil S.; Wang, Xu-Jia 42 2005 On new isoperimetric inequalities and symmetrization. Zbl 0883.52006Trudinger, Neil S. 41 1997 On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038Trudinger, Neil S.; Wang, Xu-Jia 39 2009 Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026Trudinger, Neil S. 38 1988 The Dirichlet problem for the equation of prescribed Gauss curvature. Zbl 0524.35047Trudinger, Neil S.; Urbas, John I. E. 38 1983 Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001Trudinger, Neil S. 35 1994 The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia 33 2004 Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 33 2010 Discrete methods for fully nonlinear elliptic equations. Zbl 0745.65058Kuo, Hung-Ju; Trudinger, Neil S. 32 1992 Recent developments in elliptic partial differential equations of Monge–Ampère type. Zbl 1130.35058Trudinger, Neil S. 32 2006 On the sharpness of a limiting case of the Sobolev imbedding theorem. Zbl 0205.12801Hempel, J. A.; Morris, G. R.; Trudinger, N. S. 31 1970 Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation. Zbl 0593.35046Lions, Pierre-Louis; Trudinger, N. S. 31 1986 On the local theory of prescribed Jacobian equations. Zbl 1279.35052Trudinger, Neil S. 31 2014 Affine complete locally convex hypersurfaces. Zbl 1071.53008Trudinger, Neil S.; Wang, Xu-Jia 30 2002 On the Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 29 2014 Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014Luo, Yousong; Trudinger, Neil S. 28 1991 On second derivative estimates for equations of Monge-Ampère type. Zbl 0557.35054Trudinger, Neil S.; Urbas, John I. E. 28 1984 Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058Jiang, Feida; Trudinger, Neil S. 27 2017 Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005Kuo, Hung-Ju; Trudinger, Neil S. 27 1990 A Poincaré type inequality for Hessian integrals. Zbl 0927.58013Trudinger, Neil S.; Wang, Xu-Jia 25 1998 On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028Trudinger, Neil S. 23 1987 On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023Jiang, Feida; Trudinger, Neil S. 23 2014 Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients. Zbl 0379.35022Trudinger, Neil S. 23 1977 An imbedding theorem for H\(^\circ\)(G,\(\Omega\)) spaces. Zbl 0247.46052Trudinger, Neil S. 23 1974 Gradient estimates and mean curvature. Zbl 0253.53003Trudinger, Neil S. 23 1973 On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 20 2015 On locally convex hypersurfaces with boundary. Zbl 1020.53002Trudinger, Neil S.; Wang, Xu-Jia 19 2002 On the twice differentiability of viscosity solutions of nonlinear elliptic equations. Zbl 0706.35031Trudinger, Neil S. 18 1989 On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317Liu, Jiakun; Trudinger, Neil S. 18 2010 Quasilinear elliptic equations with signed measure. Zbl 1154.35351Trudinger, Neil S.; Wang, Xu-Jia 17 2009 Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116Jiang, Feida; Trudinger, Neil S. 17 2018 Positive difference operators on general meshes. Zbl 0859.39009Kuo, Hung-Ju; Trudinger, Neil S. 16 1996 On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327Trudinger, Neil S.; Wang, Xu-Jia 16 2009 A form of Alexandrov-Fenchel inequality. Zbl 1230.52020Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua 15 2010 A priori bounds and necessary conditions for solvability of prescribed curvature equations. Zbl 0703.35070Trudinger, Neil S. 15 1990 The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033Trudinger, Neil S.; Wang, Xu-Jia 14 2010 Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003Trudinger, Neil S.; Wang, Xu-Jia 13 2002 Harnack inequalities for nonuniformly elliptic divergence structure equations. Zbl 0501.35012Trudinger, Neil S. 12 1981 The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016Lin, Mi; Trudinger, Neil S. 12 1994 The boundary gradient estimate for quasilinear elliptic and parabolic differential equations. Zbl 0236.35022Trudinger, Neil S. 12 1972 On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099Jiang, Feida; Trudinger, Neil S. 12 2018 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 On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064Jiang, Feida; Trudinger, Neil S.; Xiang, Ni 11 2016 Regularity of solutions of fully nonlinear elliptic equations. Zbl 0559.35030Trudinger, Neil S. 11 1984 A note on the discrete Aleksandrov-Bakelman maximum principle. Zbl 0963.65107Kuo, Hung-Ju; Trudinger, Neil S. 10 2000 On the classical solvability of near field reflector problems. Zbl 1322.35133Trudinger, Neil; Liu, Jiakun 10 2016 Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089Kuo, Hung-Ju; Trudinger, Neil S. 10 1998 Local estimates for parabolic difference operators. Zbl 0846.39007Kuo, Hung-Ju; Trudinger, Neil S. 9 1995 New maximum principles for linear elliptic equations. Zbl 1171.35030Kuo, Hung-Ju; Trudinger, Neil S. 9 2007 On the discrete maximum principle for parabolic difference operators. Zbl 0787.65059Kuo, Hung-Ju; Trudinger, N. S. 9 1993 Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070Jiang, Feida; Trudinger, Neil S. 9 2019 On an interpolation inequality and its applications to nonlinear elliptic equations. Zbl 0579.35029Trudinger, Neil S. 8 1985 On the Dirichlet problem for general augmented Hessian equations. Zbl 1441.35136Jiang, Feida; Trudinger, Neil S. 8 2020 On the positivity of weak supersolutions of non-uniformly elliptic equations. Zbl 0415.35029Trudinger, Neil S. 7 1978 On regularity and existence of viscosity solutions of nonlinear second order, elliptic equations. Zbl 0698.35056Trudinger, Neil S. 7 1989 The \(k\)-Yamabe problem. Zbl 1382.53013Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 6 2012 The Dirichlet problem for the prescibed curvature quotient equations with general boundary values. Zbl 0938.35060Ivochkina, Nina M.; Lin, Mi; Trudinger, Neil S. 6 1996 Quasilinear second order elliptic equations with Venttsel boundary conditions. Zbl 0823.35059Luo, Yousong; Trudinger, Neil S. 6 1994 On the Dirichlet problem for quasilinear uniformly elliptic equations in n variables. Zbl 0165.12502Trudinger, N. S. 6 1967 On the analyticity of generalized minimal surfaces. Zbl 0231.35014Trudinger, Neil S. 6 1971 Weak formulation of the MTW condition and convexity properties of potentials. Zbl 1511.35159Loeper, Grégoire; Trudinger, Neil S. 6 2021 Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008Sheng, Weimin; Trudinger, Neil; Wang, Xujia 5 2004 A note on global regularity in optimal transportion. Zbl 1283.35051Trudinger, Neil S. 5 2013 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 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 Weak formulation of the MTW condition and convexity properties of potentials. Zbl 1511.35159Loeper, Grégoire; Trudinger, Neil S. 6 2021 On the local theory of prescribed Jacobian equations revisited. Zbl 1512.90039Trudinger, Neil S. 4 2021 On the Dirichlet problem for general augmented Hessian equations. Zbl 1441.35136Jiang, Feida; Trudinger, Neil S. 8 2020 From optimal transportation to conformal geometry. Zbl 1447.35157Trudinger, Neil S. 4 2020 Remarks on the Pucci conjecture. Zbl 1440.35069Trudinger, Neil 1 2020 Oblique boundary value problems for augmented Hessian equations. III. Zbl 1427.35070Jiang, Feida; Trudinger, Neil S. 9 2019 Oblique boundary value problems for augmented Hessian equations. I. Zbl 1411.35116Jiang, Feida; Trudinger, Neil S. 17 2018 On the second boundary value problem for Monge-Ampère type equations and geometric optics. Zbl 1395.35099Jiang, Feida; Trudinger, Neil S. 12 2018 Oblique boundary value problems for augmented Hessian equations. II. Zbl 1360.35058Jiang, Feida; Trudinger, Neil S. 27 2017 On the Neumann problem for Monge-Ampère type equations. Zbl 1361.35064Jiang, Feida; Trudinger, Neil S.; Xiang, Ni 11 2016 On the classical solvability of near field reflector problems. Zbl 1322.35133Trudinger, Neil; Liu, Jiakun 10 2016 On the Dirichlet problem for a class of augmented Hessian equations. Zbl 1309.35027Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 20 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. 31 2014 On the Dirichlet problem for Monge-Ampère type equations. Zbl 1292.35131Jiang, Feida; Trudinger, Neil S.; Yang, Xiao-Ping 29 2014 On Pogorelov estimates in optimal transportation and geometric optics. Zbl 1307.90023Jiang, Feida; Trudinger, Neil S. 23 2014 Weak continuity of the complex \(k\)-Hessian operators with respect to local uniform convergence. Zbl 1296.32016Trudinger, Neil S.; Zhang, Wei 1 2014 A note on global regularity in optimal transportion. Zbl 1283.35051Trudinger, Neil S. 5 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 6 2012 Prescribed Weingarten curvature equations. Zbl 1317.53095Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 4 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 33 2010 On Pogorelov estimates for Monge-Ampère type equations. Zbl 1387.35317Liu, Jiakun; Trudinger, Neil S. 18 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 14 2010 On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134Trudinger, Neil S.; Wang, Xu-Jia 72 2009 On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038Trudinger, Neil S.; Wang, Xu-Jia 39 2009 Quasilinear elliptic equations with signed measure. Zbl 1154.35351Trudinger, Neil S.; Wang, Xu-Jia 17 2009 On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327Trudinger, Neil S.; Wang, Xu-Jia 16 2009 The Monge-Ampère equation and its applications. Zbl 1156.35033Trudinger, Neil S.; Wang, Xu-Jia 118 2008 Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046Trudinger, Neil S.; Wang, Xu-Jia 67 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 57 2007 New maximum principles for linear elliptic equations. Zbl 1171.35030Kuo, Hung-Ju; Trudinger, Neil S. 9 2007 Recent developments in elliptic partial differential equations of Monge–Ampère type. Zbl 1130.35058Trudinger, Neil S. 32 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 153 2005 The affine Plateau problem. Zbl 1229.53049Trudinger, Neil S.; Wang, Xu-Jia 42 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 33 2004 Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008Sheng, Weimin; Trudinger, Neil; Wang, Xujia 5 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 99 2002 Hessian measures. III. Zbl 1119.35325Trudinger, Neil S.; Wang, Xu-Jia 49 2002 Affine complete locally convex hypersurfaces. Zbl 1071.53008Trudinger, Neil S.; Wang, Xu-Jia 30 2002 On locally convex hypersurfaces with boundary. Zbl 1020.53002Trudinger, Neil S.; Wang, Xu-Jia 19 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. 3,068 2001 On the Monge mass transfer problem. Zbl 1010.49030Trudinger, Neil S.; Wang, Xu-Jia 52 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 81 2000 A note on the discrete Aleksandrov-Bakelman maximum principle. Zbl 0963.65107Kuo, Hung-Ju; Trudinger, Neil S. 10 2000 Hessian measures. II. Zbl 0947.35055Trudinger, Neil S.; Wang, Xu-Jia 130 1999 On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia 45 1999 A Poincaré type inequality for Hessian integrals. Zbl 0927.58013Trudinger, Neil S.; Wang, Xu-Jia 25 1998 Evolving monotone difference operators on general space-time meshes. Zbl 0940.65089Kuo, Hung-Ju; Trudinger, Neil S. 10 1998 Hessian measures. I. Zbl 0915.35039Trudinger, Neil S.; Wang, Xu-Jia 73 1997 Weak solutions of Hessian equations. Zbl 0883.35035Trudinger, Neil S. 72 1997 On new isoperimetric inequalities and symmetrization. Zbl 0883.52006Trudinger, Neil S. 41 1997 Positive difference operators on general meshes. Zbl 0859.39009Kuo, Hung-Ju; Trudinger, Neil S. 16 1996 The Dirichlet problem for the prescibed curvature quotient equations with general boundary values. Zbl 0938.35060Ivochkina, Nina M.; Lin, Mi; Trudinger, Neil S. 6 1996 Isoperimetric inequalities and nonlinear elliptic equations. Zbl 0882.35045Trudinger, N. S. 2 1996 Maximum principles for difference operators. Zbl 0843.39015Kuo, Hung-Ju; Trudinger, Neil S. 2 1996 On the Dirichlet problem for Hessian equations. Zbl 0887.35061Trudinger, Neil S. 151 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. 54 1994 Isoperimetric inequalities for quermassintegrals. Zbl 0859.52001Trudinger, Neil S. 35 1994 The Dirichlet problem for the prescribed curvature quotient equations. Zbl 0812.58016Lin, Mi; Trudinger, Neil S. 12 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. 32 1992 Linear second order elliptic equations with Venttsel boundary conditions. Zbl 0771.35014Luo, Yousong; Trudinger, Neil S. 28 1991 The Dirichlet problem for the prescribed curvature equations. Zbl 0721.35018Trudinger, Neil S. 98 1990 Linear elliptic difference inequalities with random coefficients. Zbl 0716.39005Kuo, Hung-Ju; Trudinger, Neil S. 27 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. 2,055 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. 7 1989 Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations. Zbl 0695.35007Trudinger, Neil S. 48 1988 Hölder gradient estimates for fully nonlinear elliptic equations. Zbl 0653.35026Trudinger, Neil S. 38 1988 On degenerate fully nonlinear elliptic equations in balls. Zbl 0611.35028Trudinger, Neil S. 23 1987 Nonlinear oblique boundary value problems for nonlinear elliptic equations. Zbl 0619.35047Lieberman, Gary M.; Trudinger, Neil S. 90 1986 The Neumann problem for equations of Monge-Ampère type. Zbl 0604.35027Lions, P.-L.; Trudinger, N. S.; Urbas, J. I. E. 57 1986 Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation. Zbl 0593.35046Lions, Pierre-Louis; Trudinger, N. S. 31 1986 A new approach to the Schauder estimates for linear elliptic equations. Zbl 0641.35023Trudinger, Neil S. 4 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. 74 1984 On second derivative estimates for equations of Monge-Ampère type. Zbl 0557.35054Trudinger, Neil S.; Urbas, John I. E. 28 1984 Regularity of solutions of fully nonlinear elliptic equations. Zbl 0559.35030Trudinger, Neil S. 11 1984 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,974 Authors 71 Trudinger, Neil Sidney 49 Do Ó, João M. Bezerra 49 Lu, Guozhen 45 Alves, Claudianor Oliveira 45 Wei, Juncheng 43 Rădulescu, Vicenţiu D. 41 Lieberman, Gary M. 37 Wang, Xu-Jia 35 García-Melián, Jorge 35 Li, YanYan 35 Yang, Yunyan 34 Véron, Laurent 34 Wang, Zhi-Qiang 33 Dancer, Edward Norman 32 Bao, Jiguang 31 Byeon, Jaeyoung 31 Pistoia, Angela 31 Wang, Lihe 31 Zhang, Zhijun 30 Chipot, Michel 30 Cianchi, Andrea 30 Mingione, Giuseppe 30 Papageorgiou, Nikolaos S. 29 Figueiredo, Giovany Malcher 28 de Souza, Manassés X. 27 Caffarelli, Luis Ángel 27 Musolino, Paolo 27 Quaas, Alexander 27 Valdinoci, Enrico 26 Krylov, Nicolaĭ Vladimirovich 26 Lou, Yuan 26 Souto de Medeiros, Everaldo 25 Drábek, Pavel 25 López Camino, Rafael 25 Sciunzi, Berardino 24 Rossi, Julio Daniel 24 Sweers, Guido H. 24 Tang, Chun-Lei 24 Winkler, Michael 23 Chen, Gui-Qiang G. 23 Du, Lili 23 Du, Yihong 23 Figalli, Alessio 23 Lanza de Cristoforis, Massimo 23 Lions, Pierre-Louis 23 Ruf, Bernhard 22 Feng, Xiaobing 22 Ivochkina, Nina Mikhaĭlovna 22 Li, Dongsheng 22 da Silva Montenegro, Marcelo 20 Anderson, Michael T. 20 Byun, Sun-Sig 20 Chabrowski, Jan H. 20 Feldman, Mikhail 20 Fuchs, Martin 20 Jiang, Feida 20 Kuusi, Tuomo 20 Nguyễn Văn Hoàng 20 Novaga, Matteo 20 Porru, Giovanni 20 Sirakov, Boyan Slavchev 19 Gutiérrez, Cristian E. 19 Lam, Nguyen 19 Maz’ya, Vladimir Gilelevich 19 Ni, Wei-Ming 19 Rigoli, Marco 19 Severo, Uberlandio Batista 19 Verbitsky, Igor E. 19 Xu, Xiangsheng 18 Ciraolo, Giulio 18 Ghergu, Marius 18 Guo, Yujin 18 Liu, Jiakun 18 Neilan, Michael 18 Nochetto, Ricardo Horacio 18 Palagachev, Dian K. 18 Shahgholian, Henrik 18 Surnachëv, Mikhaĭl Dmitrievich 18 Vitolo, Antonio 17 Carl, Siegfried 17 Choi, Yung-Sze 17 Dalla Riva, Matteo 17 Dong, Hongjie 17 Emamizadeh, Behrouz 17 Escher, Joachim 17 Guo, Zongming 17 Jian, Huai-Yu 17 Le, Nam Q. 17 Lee, Ki-Ahm 17 McCann, Robert J. 17 Nguyen, Luc 17 Pan, Xingbin 17 Vazquez, Juan Luis 17 Yi, Fahuai 17 Zhu, Maochun 17 Ziemer, William Paul 17 Zou, Wenming 16 Boccardo, Lucio 16 Bonheure, Denis 16 Chen, Lu ...and 9,874 more Authors all top 5 Cited in 631 Serials 828 Journal of Differential Equations 683 Journal of Mathematical Analysis and Applications 593 Nonlinear Analysis. 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Real World Applications 106 Communications in Contemporary Mathematics 103 Manuscripta Mathematica 95 ZAMP. Zeitschrift für angewandte Mathematik und Physik 92 Potential Analysis 91 NoDEA. Nonlinear Differential Equations and Applications 87 Journal of Mathematical Physics 87 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 84 Duke Mathematical Journal 79 Advanced Nonlinear Studies 78 Applicable Analysis 78 Communications on Pure and Applied Mathematics 78 Applied Mathematics Letters 77 Journal of Computational and Applied Mathematics 70 Computers & Mathematics with Applications 70 Journal d’Analyse Mathématique 70 Mathematical Methods in the Applied Sciences 66 Applied Mathematics and Computation 64 Boundary Value Problems 61 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. 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Mathematics 49 Bulletin of the Australian Mathematical Society 48 Mathematics of Computation 48 Stochastic Processes and their Applications 44 Journal of the European Mathematical Society (JEMS) 43 Mathematical Notes 42 Revista Matemática Iberoamericana 42 Journal of Evolution Equations 41 The Annals of Probability 41 Journal of Scientific Computing 40 Journal für die Reine und Angewandte Mathematik 40 Numerical Functional Analysis and Optimization 39 Computer Methods in Applied Mechanics and Engineering 39 Results in Mathematics 37 Chinese Annals of Mathematics. Series B 36 SIAM Journal on Numerical Analysis 36 Zeitschrift für Analysis und ihre Anwendungen 35 SIAM Journal on Control and Optimization 35 Topological Methods in Nonlinear Analysis 34 Applied Numerical Mathematics 34 SIAM Journal on Applied Mathematics 33 Differential Geometry and its Applications 33 Abstract and Applied Analysis 32 Mathematische Nachrichten 32 Acta Mathematicae Applicatae Sinica. 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GAFA ...and 531 more Serials all top 5 Cited in 60 Fields 9,829 Partial differential equations (35-XX) 1,505 Differential geometry (53-XX) 1,229 Calculus of variations and optimal control; optimization (49-XX) 1,048 Global analysis, analysis on manifolds (58-XX) 1,005 Fluid mechanics (76-XX) 959 Numerical analysis (65-XX) 769 Functional analysis (46-XX) 689 Operator theory (47-XX) 527 Biology and other natural sciences (92-XX) 512 Probability theory and stochastic processes (60-XX) 432 Potential theory (31-XX) 371 Mechanics of deformable solids (74-XX) 348 Real functions (26-XX) 293 Several complex variables and analytic spaces (32-XX) 277 Statistical mechanics, structure of matter (82-XX) 244 Optics, electromagnetic theory (78-XX) 238 Ordinary differential equations (34-XX) 221 Quantum theory (81-XX) 196 Harmonic analysis on Euclidean spaces (42-XX) 180 Dynamical systems and ergodic theory (37-XX) 169 Functions of a complex variable (30-XX) 169 Systems theory; control (93-XX) 147 Integral equations (45-XX) 146 Relativity and gravitational theory (83-XX) 140 Convex and discrete geometry (52-XX) 122 Classical thermodynamics, heat transfer (80-XX) 121 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 90 Operations research, mathematical programming (90-XX) 87 Measure and integration (28-XX) 74 Manifolds and cell complexes (57-XX) 56 Geophysics (86-XX) 55 Algebraic geometry (14-XX) 49 Computer science (68-XX) 49 Mechanics of particles and systems (70-XX) 47 Approximations and expansions (41-XX) 38 Statistics (62-XX) 37 Information and communication theory, circuits (94-XX) 31 Topological groups, Lie groups (22-XX) 31 Difference and functional equations (39-XX) 28 Abstract harmonic analysis (43-XX) 27 Astronomy and astrophysics (85-XX) 21 General topology (54-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 16 Geometry (51-XX) 15 Special functions (33-XX) 14 Algebraic topology (55-XX) 13 Integral transforms, operational calculus (44-XX) 11 History and biography (01-XX) 11 Number theory (11-XX) 10 Combinatorics (05-XX) 8 Nonassociative rings and algebras (17-XX) 5 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 2 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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