Edit Profile (opens in new tab) Wang, Xu-Jia Co-Author Distance Author ID: wang.xu-jia Published as: Wang, Xu-Jia; Wang, Xujia; Wang, Xu-jia more...less Homepage: http://maths-people.anu.edu.au/~wang/ External Links: MGP · Wikidata · dblp · IdRef Documents Indexed: 134 Publications since 1988, including 7 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Co-Authors: 47 Co-Authors with 101 Joint Publications 1,241 Co-Co-Authors all top 5 Co-Authors 29 single-authored 29 Trudinger, Neil Sidney 11 Li, Qirui 10 Sheng, Weimin 9 Liu, Jiakun 8 Jian, Huai-Yu 8 Zhou, Bin 7 Chen, Shibing 5 Chou, Kai-Seng 5 Tian, Guji 4 Lu, Jian 3 Dai, Qiuyi 3 Guan, Zhicheng 3 Guang, Qiang 3 Santambrogio, Filippo 2 Deng, Yinbing 2 Guan, Pengfei 2 Huang, Genggeng 2 Tang, Lan 2 Wang, Jiaxiang 2 Wu, Shaoping 2 Wu, Yating 1 Bian, Baojun 1 Caffarelli, Luis Ángel 1 Chai, Chingli 1 Chen, ChuanQiang 1 Chen, Haodi 1 Cheng, Qing-Meng 1 Deng, Yinbin 1 Dong, Guangchang 1 Fu, Baohua 1 Gu, Yonggeng 1 Gursky, Matthew J. 1 He, Yan 1 Hu, Jiaxin 1 Ivochkina, Nina Mikhaĭlovna 1 Ji, Lizhen 1 Jin, Yongyang 1 Karakhanyan, Aram L. 1 Kocan, Maciej 1 Lanconelli, Ermanno 1 Li, Dongsheng 1 Liu, Kefeng 1 Loftin, John C. 1 Luo, Feng 1 Ma, Guowei 1 Ma, Xi-Nan 1 Malchiodi, Andrea 1 Tarantello, Gabriella 1 Urbas, John Ivan Eugene 1 Wan, Dongrui 1 Wang, Qiusheng 1 Wei, Wun-cheng 1 Yang, Deane 1 Yang, Paul C. P. 1 Yau, Horng-Tzer 1 Yau, Shing-Tung 1 Zhang, Ting 1 Zhang, Wei 1 Zhao, Yuwen 1 Zhu, Xiaohua all top 5 Serials 6 Advances in Mathematics 5 Archive for Rational Mechanics and Analysis 5 Journal of Differential Equations 5 Journal of Differential Geometry 5 Calculus of Variations and Partial Differential Equations 4 Journal of Functional Analysis 4 Chinese Annals of Mathematics. Series B 4 Annals of Mathematics. Second Series 3 Communications on Pure and Applied Mathematics 3 Journal of Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Journal of the European Mathematical Society (JEMS) 3 Science China. Mathematics 2 American Journal of Mathematics 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series A 2 IMRN. International Mathematics Research Notices 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Topological Methods in Nonlinear Analysis 2 Methods and Applications of Analysis 2 Scientia Sinica. Mathematica 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 SIAM Journal on Numerical Analysis 1 Acta Mathematicae Applicatae Sinica 1 Analysis 1 Acta Mathematica Hungarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Journal of Partial Differential Equations. Series B 1 European Journal of Applied Mathematics 1 Systems Science and Mathematical Sciences 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Acta Mathematica Sinica. New Series 1 Journal of Zhejiang University. Natural Sciences Edition 1 Applied Mathematics 1 Communications in Analysis and Geometry 1 Mathematical Research Letters 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Mathematical Study 1 Advanced Nonlinear Studies 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Computational Methods 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes in Mathematics 1 Advanced Lectures in Mathematics (ALM) 1 IAENG. International Journal of Applied Mathematics 1 ICCM Notices 1 Nonlinear Analysis. Theory, Methods & Applications 1 Mathematics in Engineering 1 Peking Mathematical Journal all top 5 Fields 105 Partial differential equations (35-XX) 40 Differential geometry (53-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Global analysis, analysis on manifolds (58-XX) 7 Convex and discrete geometry (52-XX) 6 Optics, electromagnetic theory (78-XX) 5 Measure and integration (28-XX) 5 Several complex variables and analytic spaces (32-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Operations research, mathematical programming (90-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 3,326 times in 1,793 Documents Cited by ▼ Year ▼ The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry. Zbl 1245.52001 Chou, Kai-Seng; Wang, Xu-Jia 193 2006 Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035 Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia 168 2005 Kähler–Ricci solitons on toric manifolds with positive first Chern class. Zbl 1086.53067 Wang, Xu-Jia; Zhu, Xiaohua 144 2004 Neumann problems of semilinear elliptic equations involving critical Sobolev exponents. Zbl 0766.35017 Wang, Xujia 142 1991 Hessian measures. II. Zbl 0947.35055 Trudinger, Neil S.; Wang, Xu-Jia 140 1999 A variational theory of the Hessian equation. Zbl 1035.35037 Chou, Kai-Seng; Wang, Xu-Jia 139 2001 The Monge-Ampère equation and its applications. Zbl 1156.35033 Trudinger, Neil S.; Wang, Xu-Jia 134 2008 A class of fully nonlinear elliptic equations and related functionals. Zbl 0805.35036 Wang, Xu-Jia 116 1994 On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023 Trudinger, Neil S.; Wang, Xu-Jia 106 2002 Convex solutions to the mean curvature flow. Zbl 1231.53058 Wang, Xu-Jia 98 2011 The \(k\)-Hessian equation. Zbl 1196.35093 Wang, Xu-Jia 92 2009 The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021 Trudinger, Neil S.; Wang, Xu-Jia 85 2000 Hessian measures. I. Zbl 0915.35039 Trudinger, Neil S.; Wang, Xu-Jia 78 1997 On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134 Trudinger, Neil S.; Wang, Xu-Jia 77 2009 Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046 Trudinger, Neil S.; Wang, Xu-Jia 75 2008 Rotationally symmetric solutions to the \(L_p\)-Minkowski problem. Zbl 1273.52006 Lu, Jian; Wang, Xu-Jia 63 2013 The Yamabe problem for higher order curvatures. Zbl 1133.53035 Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia 62 2007 Some counterexamples to the regularity of Monge-Ampère equations. Zbl 0822.35054 Wang, Xu-Jia 56 1995 Nonuniqueness of solutions to the \(L_p\)-Minkowski problem. Zbl 1326.35009 Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia 56 2015 A logarithmic Gauss curvature flow and the Minkowski problem. Zbl 1071.53534 Chou, Kai-Seng; Wang, Xu-Jia 52 2000 On the Monge mass transfer problem. Zbl 1010.49030 Trudinger, Neil S.; Wang, Xu-Jia 52 2001 Hessian measures. III. Zbl 1119.35325 Trudinger, Neil S.; Wang, Xu-Jia 51 2002 Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems. Zbl 1445.53066 Li, Qi-Rui; Sheng, Weimin; Wang, Xu-Jia 51 2020 On the design of a reflector antenna. Zbl 0858.35142 Wang, Xu-Jia 50 1996 On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442 Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia 46 1999 On the design of a reflector antenna. II. Zbl 1065.78013 Wang, Xu-Jia 46 2004 The affine Plateau problem. Zbl 1229.53049 Trudinger, Neil S.; Wang, Xu-Jia 45 2005 Bernstein theorem and regularity for a class of Monge-Ampère equations. Zbl 1278.35120 Jian, Huaiyu; Wang, Xu-Jia 42 2013 On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038 Trudinger, Neil S.; Wang, Xu-Jia 41 2009 Singularity profile in the mean curvature flow. Zbl 1184.53071 Sheng, Weimin; Wang, Xu-Jia 40 2009 The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418 Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia 38 2004 Interior gradient estimates for mean curvature equations. Zbl 0909.35022 Wang, Xu-Jia 35 1998 Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142 Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 34 2010 Schauder estimates for elliptic and parabolic equations. Zbl 1151.35329 Wang, Xu-Jia 32 2006 Affine complete locally convex hypersurfaces. Zbl 1071.53008 Trudinger, Neil S.; Wang, Xu-Jia 31 2002 A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry. Zbl 1104.53035 Wang, Xujia 29 2006 Continuity estimates for the Monge-Ampère equation. Zbl 1138.35326 Jian, Huai-Yu; Wang, Xu-Jia 27 2007 On a Monge-Ampère equation arising in geometric optics. Zbl 0979.35052 Guan, Pengfei; Wang, Xu-Jia 27 1998 On the reflector shape design. Zbl 1201.53007 Karakhanyan, Aram; Wang, Xu-Jia 26 2010 A Poincaré type inequality for Hessian integrals. Zbl 0927.58013 Trudinger, Neil S.; Wang, Xu-Jia 25 1998 Interior curvature bounds for a class of curvature equations. Zbl 1174.35378 Sheng, Weimin; Urbas, John; Wang, Xu-Jia 23 2004 Global smoothness for a singular Monge-Ampère equation. Zbl 1378.35149 Jian, Huaiyu; Wang, Xu-Jia; Zhao, Yuwen 23 2017 Sharp constant in a Sobolev inequality. Zbl 0803.35045 Wang, Xujia 20 1993 On locally convex hypersurfaces with boundary. Zbl 1020.53002 Trudinger, Neil S.; Wang, Xu-Jia 20 2002 Regularity for Monge-Ampère equation near the boundary. Zbl 0844.35015 Wang, Xu-Jia 19 1996 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 Existence of multiple solutions to the equations of Monge-Ampère type. Zbl 0770.35019 Wang, Xujia 16 1992 Optimal boundary regularity for nonlinear singular elliptic equations. Zbl 1314.35057 Jian, Huaiyu; Wang, Xu-jia 16 2014 A priori estimates and existence of solutions to the prescribed centroaffine curvature problem. Zbl 1439.35179 Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia 15 2018 The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033 Trudinger, Neil S.; Wang, Xu-Jia 15 2010 Moser-Trudinger type inequalities for the Hessian equation. Zbl 1210.26018 Tian, Gu-Ji; Wang, Xu-Jia 15 2010 Existence of multiple solutions to nonlinear elliptic equations of nondivergence form. Zbl 0828.35048 Wang, Xu-Jia; Deng, Yin-Bing 13 1995 Multiple solutions of the \(L_{p}\)-Minkowski problem. Zbl 1356.52004 He, Yan; Li, Qi-Rui; Wang, Xu-Jia 13 2016 Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003 Trudinger, Neil S.; Wang, Xu-Jia 13 2002 On the existence and nonexistence of extremal metrics on toric Kähler surfaces. Zbl 1220.53088 Wang, Xu-jia; Zhou, Bin 12 2011 A class of Sobolev type inequalities. Zbl 1181.46028 Tian, Gu-Ji; Wang, Xu-Jia 12 2008 A priori estimates for fully nonlinear parabolic equations. Zbl 1334.35109 Tian, Guji; Wang, Xu-Jia 12 2013 Entire solutions of the Monge-Ampère equation. Zbl 0851.35035 Chou, Kai-Seng; Wang, Xu-Jia 11 1996 Existence of entire solutions to the Monge-Ampère equation. Zbl 1302.35189 Jian, Huaiyu; Wang, Xu-Jia 11 2014 Existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature. Zbl 0926.53024 Wang, Xu-Jia 9 1996 Counterexample to the convexity of level sets of solutions to the mean curvature equation. Zbl 1305.35062 Wang, Xu-Jia 8 2014 Asymptotic convergence for a class of fully nonlinear curvature flows. Zbl 1434.53096 Li, Qi-Rui; Sheng, Weimin; Wang, Xu-Jia 8 2020 Minkowski problems for complete noncompact convex hypersurfaces. Zbl 0873.53043 Chou, Kai-Seng; Wang, Xu-Jia 7 1995 Regularity of the homogeneous Monge-Ampère equation. Zbl 1335.35087 Li, Qi-Rui; Wang, Xu-Jia 7 2015 The \(k\)-Yamabe problem. Zbl 1382.53013 Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 6 2012 Strict convexity and \(C^{1,\alpha}\) regularity of potential functions in optimal transportation under condition A3w. Zbl 1366.49055 Chen, Shibing; Wang, Xu-Jia 6 2016 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 Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014 Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 5 2006 Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008 Sheng, Weimin; Trudinger, Neil; Wang, Xujia 5 2004 Existence of nontrivial solutions for critical semilinear biharmonic equations. Zbl 0805.35031 Gu, Yonggeng; Deng, Yinbin; Wang, Xujia 5 1994 Interior a priori estimates for the Monge-Ampère equation. Zbl 1326.35168 Liu, Jiakun; Wang, Xu-Jia 5 2015 Regularity in Monge’s mass transfer problem. Zbl 1304.49094 Li, Qi-Rui; Santambrogio, Filippo; Wang, Xu-Jia 5 2014 Convexity of the support of the displacement interpolation: counterexamples. Zbl 1345.49056 Santambrogio, Filippo; Wang, Xu-Jia 5 2016 Regularity and analyticity of solutions in a direction for elliptic equations. Zbl 1323.35014 Jin, Yongyang; Li, Dongsheng; Wang, Xu-Jia 5 2015 Affine maximal hypersurfaces. Zbl 1136.35373 Wang, Xu-Jia 5 2002 Global regularity for the Monge-Ampère equation with natural boundary condition. Zbl 1487.35214 Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia 5 2021 Moser-Trudinger inequality for the complex Monge-Ampère equation. Zbl 1458.32037 Wang, Jiaxiang; Wang, Xu-jia; Zhou, Bin 5 2020 Regularity and singularity in the mean curvature flow. Zbl 1198.53075 Sheng, Weimin; Wang, Xu-Jia 5 2010 The mean curvature measure. Zbl 1246.35199 Dai, Qiuyi; Trudinger, Neil S.; Wang, Xu-Jia 4 2012 Existence and blow-up of solutions to two-phase nonequilibrium problems. Zbl 0857.35141 Guan, Zhicheng; Wang, Xujia 4 1996 Neumann problem of elliptic equations with limit nonlinearity in boundary condition. Zbl 0805.35030 Deng, Yinbing; Wang, Xujia; Wu, Shaoping 4 1994 Prescribed Weingarten curvature equations. Zbl 1317.53095 Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 4 2012 Partial regularity for elliptic equations. Zbl 1193.35025 Tian, Guji; Wang, Xu-Jia 4 2010 A priori estimate for the complex Monge-Ampère equation. Zbl 1477.32062 Wang, Jiaxiang; Wang, Xu-Jia; Zhou, Bin 4 2021 Some notes on the radial solutions of \(\Delta u+| u|^{p- 1}u+\lambda u=0\). Zbl 0807.35048 Wang, Xujia; Wu, Shaoping 3 1991 Existence of positive solutions to nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0795.35037 Wang, Xujia 3 1992 A potential theory for the \(k\)-curvature equation. Zbl 1331.31007 Dai, Qiuyi; Wang, Xu-jia; Zhou, Bin 3 2016 Global regularity of optimal mappings in non-convex domains. Zbl 1427.35090 Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia 3 2019 A class of optimal transportation problems on the sphere. Zbl 1499.49101 Li, Qirui; Wang, Xujia 3 2018 On the generalized Stepanov theorem. Zbl 0910.26006 Kocan, Maciej; Wang, Xu-Jia 2 1997 Positive solutions of the Neumann problem of \(p\)-Laplacian equations. Zbl 0806.35044 Wang, Xujia 2 1993 Monge-Ampère equation and optimal transportation. Zbl 1379.35156 Wang, Xu-Jia 2 2017 A boundary expansion of solutions to nonlinear singular elliptic equations. Zbl 1481.35224 Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia 2 2022 Convergence rate estimates for Aleksandrov’s solution to the Monge-Ampère equation. Zbl 1412.35155 Chen, Haodi; Huang, Genggeng; Wang, Xu-Jia 2 2019 Oblique derivative problems for equations of Monge-Ampère type. Zbl 0815.35029 Wang, Xujia 1 1992 Critical exponent in a Stefan problem with kinetic condition. Zbl 0895.35115 Guan, Zhicheng; Wang, Xu-Jia 1 1997 New proof for the regularity of Monge-Ampère type equations. Zbl 1459.35225 Wang, Xu-Jia; Wu, Yating 1 2020 \(K\)-stability and canonical metrics on toric manifolds. Zbl 1290.32027 Wang, Xu-jia; Zhou, Bin 1 2014 Cheng and Yau’s work on the Monge-Ampère equation and affine geometry. Zbl 1269.53005 Loftin, John; Wang, Xu-Jia; Yang, Deane 1 2011 A boundary expansion of solutions to nonlinear singular elliptic equations. Zbl 1481.35224 Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia 2 2022 Global regularity for the Monge-Ampère equation with natural boundary condition. Zbl 1487.35214 Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia 5 2021 A priori estimate for the complex Monge-Ampère equation. Zbl 1477.32062 Wang, Jiaxiang; Wang, Xu-Jia; Zhou, Bin 4 2021 The Christoffel problem by the fundamental solution of the Laplace equation. Zbl 1471.35098 Li, Qi-Rui; Wan, Dongrui; Wang, Xu-Jia 1 2021 Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems. Zbl 1445.53066 Li, Qi-Rui; Sheng, Weimin; Wang, Xu-Jia 51 2020 Asymptotic convergence for a class of fully nonlinear curvature flows. Zbl 1434.53096 Li, Qi-Rui; Sheng, Weimin; Wang, Xu-Jia 8 2020 Moser-Trudinger inequality for the complex Monge-Ampère equation. Zbl 1458.32037 Wang, Jiaxiang; Wang, Xu-jia; Zhou, Bin 5 2020 New proof for the regularity of Monge-Ampère type equations. Zbl 1459.35225 Wang, Xu-Jia; Wu, Yating 1 2020 Global regularity of optimal mappings in non-convex domains. Zbl 1427.35090 Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia 3 2019 Convergence rate estimates for Aleksandrov’s solution to the Monge-Ampère equation. Zbl 1412.35155 Chen, Haodi; Huang, Genggeng; Wang, Xu-Jia 2 2019 A priori estimates and existence of solutions to the prescribed centroaffine curvature problem. Zbl 1439.35179 Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia 15 2018 A class of optimal transportation problems on the sphere. Zbl 1499.49101 Li, Qirui; Wang, Xujia 3 2018 Global smoothness for a singular Monge-Ampère equation. Zbl 1378.35149 Jian, Huaiyu; Wang, Xu-Jia; Zhao, Yuwen 23 2017 Monge-Ampère equation and optimal transportation. Zbl 1379.35156 Wang, Xu-Jia 2 2017 Multiple solutions of the \(L_{p}\)-Minkowski problem. Zbl 1356.52004 He, Yan; Li, Qi-Rui; Wang, Xu-Jia 13 2016 Strict convexity and \(C^{1,\alpha}\) regularity of potential functions in optimal transportation under condition A3w. Zbl 1366.49055 Chen, Shibing; Wang, Xu-Jia 6 2016 Convexity of the support of the displacement interpolation: counterexamples. Zbl 1345.49056 Santambrogio, Filippo; Wang, Xu-Jia 5 2016 A potential theory for the \(k\)-curvature equation. Zbl 1331.31007 Dai, Qiuyi; Wang, Xu-jia; Zhou, Bin 3 2016 Nonuniqueness of solutions to the \(L_p\)-Minkowski problem. Zbl 1326.35009 Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia 56 2015 Regularity of the homogeneous Monge-Ampère equation. Zbl 1335.35087 Li, Qi-Rui; Wang, Xu-Jia 7 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 Interior a priori estimates for the Monge-Ampère equation. Zbl 1326.35168 Liu, Jiakun; Wang, Xu-Jia 5 2015 Regularity and analyticity of solutions in a direction for elliptic equations. Zbl 1323.35014 Jin, Yongyang; Li, Dongsheng; Wang, Xu-Jia 5 2015 Optimal boundary regularity for nonlinear singular elliptic equations. Zbl 1314.35057 Jian, Huaiyu; Wang, Xu-jia 16 2014 Existence of entire solutions to the Monge-Ampère equation. Zbl 1302.35189 Jian, Huaiyu; Wang, Xu-Jia 11 2014 Counterexample to the convexity of level sets of solutions to the mean curvature equation. Zbl 1305.35062 Wang, Xu-Jia 8 2014 Regularity in Monge’s mass transfer problem. Zbl 1304.49094 Li, Qi-Rui; Santambrogio, Filippo; Wang, Xu-Jia 5 2014 \(K\)-stability and canonical metrics on toric manifolds. Zbl 1290.32027 Wang, Xu-jia; Zhou, Bin 1 2014 Rotationally symmetric solutions to the \(L_p\)-Minkowski problem. Zbl 1273.52006 Lu, Jian; Wang, Xu-Jia 63 2013 Bernstein theorem and regularity for a class of Monge-Ampère equations. Zbl 1278.35120 Jian, Huaiyu; Wang, Xu-Jia 42 2013 A priori estimates for fully nonlinear parabolic equations. Zbl 1334.35109 Tian, Guji; Wang, Xu-Jia 12 2013 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 4 2012 Prescribed Weingarten curvature equations. Zbl 1317.53095 Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 4 2012 Convex solutions to the mean curvature flow. Zbl 1231.53058 Wang, Xu-Jia 98 2011 On the existence and nonexistence of extremal metrics on toric Kähler surfaces. Zbl 1220.53088 Wang, Xu-jia; Zhou, Bin 12 2011 Cheng and Yau’s work on the Monge-Ampère equation and affine geometry. Zbl 1269.53005 Loftin, John; Wang, Xu-Jia; Yang, Deane 1 2011 Interior \(C^{2,\alpha}\) regularity for potential functions in optimal transportation. Zbl 1189.35142 Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia 34 2010 On the reflector shape design. Zbl 1201.53007 Karakhanyan, Aram; Wang, Xu-Jia 26 2010 The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033 Trudinger, Neil S.; Wang, Xu-Jia 15 2010 Moser-Trudinger type inequalities for the Hessian equation. Zbl 1210.26018 Tian, Gu-Ji; Wang, Xu-Jia 15 2010 Regularity and singularity in the mean curvature flow. Zbl 1198.53075 Sheng, Weimin; Wang, Xu-Jia 5 2010 Partial regularity for elliptic equations. Zbl 1193.35025 Tian, Guji; Wang, Xu-Jia 4 2010 The \(k\)-Hessian equation. Zbl 1196.35093 Wang, Xu-Jia 92 2009 On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134 Trudinger, Neil S.; Wang, Xu-Jia 77 2009 On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038 Trudinger, Neil S.; Wang, Xu-Jia 41 2009 Singularity profile in the mean curvature flow. Zbl 1184.53071 Sheng, Weimin; Wang, Xu-Jia 40 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 134 2008 Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046 Trudinger, Neil S.; Wang, Xu-Jia 75 2008 A class of Sobolev type inequalities. Zbl 1181.46028 Tian, Gu-Ji; Wang, Xu-Jia 12 2008 The Yamabe problem for higher order curvatures. Zbl 1133.53035 Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia 62 2007 Continuity estimates for the Monge-Ampère equation. Zbl 1138.35326 Jian, Huai-Yu; Wang, Xu-Jia 27 2007 The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry. Zbl 1245.52001 Chou, Kai-Seng; Wang, Xu-Jia 193 2006 Schauder estimates for elliptic and parabolic equations. Zbl 1151.35329 Wang, Xu-Jia 32 2006 A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry. Zbl 1104.53035 Wang, Xujia 29 2006 Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014 Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia 5 2006 Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035 Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia 168 2005 The affine Plateau problem. Zbl 1229.53049 Trudinger, Neil S.; Wang, Xu-Jia 45 2005 Kähler–Ricci solitons on toric manifolds with positive first Chern class. Zbl 1086.53067 Wang, Xu-Jia; Zhu, Xiaohua 144 2004 On the design of a reflector antenna. II. Zbl 1065.78013 Wang, Xu-Jia 46 2004 The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418 Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia 38 2004 Interior curvature bounds for a class of curvature equations. Zbl 1174.35378 Sheng, Weimin; Urbas, John; Wang, Xu-Jia 23 2004 Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008 Sheng, Weimin; Trudinger, Neil; Wang, Xujia 5 2004 On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023 Trudinger, Neil S.; Wang, Xu-Jia 106 2002 Hessian measures. III. Zbl 1119.35325 Trudinger, Neil S.; Wang, Xu-Jia 51 2002 Affine complete locally convex hypersurfaces. Zbl 1071.53008 Trudinger, Neil S.; Wang, Xu-Jia 31 2002 On locally convex hypersurfaces with boundary. Zbl 1020.53002 Trudinger, Neil S.; Wang, Xu-Jia 20 2002 Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003 Trudinger, Neil S.; Wang, Xu-Jia 13 2002 Affine maximal hypersurfaces. Zbl 1136.35373 Wang, Xu-Jia 5 2002 A variational theory of the Hessian equation. Zbl 1035.35037 Chou, Kai-Seng; Wang, Xu-Jia 139 2001 On the Monge mass transfer problem. Zbl 1010.49030 Trudinger, Neil S.; Wang, Xu-Jia 52 2001 The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021 Trudinger, Neil S.; Wang, Xu-Jia 85 2000 A logarithmic Gauss curvature flow and the Minkowski problem. Zbl 1071.53534 Chou, Kai-Seng; Wang, Xu-Jia 52 2000 Hessian measures. II. Zbl 0947.35055 Trudinger, Neil S.; Wang, Xu-Jia 140 1999 On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442 Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia 46 1999 Interior gradient estimates for mean curvature equations. Zbl 0909.35022 Wang, Xu-Jia 35 1998 On a Monge-Ampère equation arising in geometric optics. Zbl 0979.35052 Guan, Pengfei; Wang, Xu-Jia 27 1998 A Poincaré type inequality for Hessian integrals. Zbl 0927.58013 Trudinger, Neil S.; Wang, Xu-Jia 25 1998 Hessian measures. I. Zbl 0915.35039 Trudinger, Neil S.; Wang, Xu-Jia 78 1997 On the generalized Stepanov theorem. Zbl 0910.26006 Kocan, Maciej; Wang, Xu-Jia 2 1997 Critical exponent in a Stefan problem with kinetic condition. Zbl 0895.35115 Guan, Zhicheng; Wang, Xu-Jia 1 1997 On the design of a reflector antenna. Zbl 0858.35142 Wang, Xu-Jia 50 1996 Regularity for Monge-Ampère equation near the boundary. Zbl 0844.35015 Wang, Xu-Jia 19 1996 Entire solutions of the Monge-Ampère equation. Zbl 0851.35035 Chou, Kai-Seng; Wang, Xu-Jia 11 1996 Existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature. Zbl 0926.53024 Wang, Xu-Jia 9 1996 Existence and blow-up of solutions to two-phase nonequilibrium problems. Zbl 0857.35141 Guan, Zhicheng; Wang, Xujia 4 1996 Some counterexamples to the regularity of Monge-Ampère equations. Zbl 0822.35054 Wang, Xu-Jia 56 1995 Existence of multiple solutions to nonlinear elliptic equations of nondivergence form. Zbl 0828.35048 Wang, Xu-Jia; Deng, Yin-Bing 13 1995 Minkowski problems for complete noncompact convex hypersurfaces. Zbl 0873.53043 Chou, Kai-Seng; Wang, Xu-Jia 7 1995 A class of fully nonlinear elliptic equations and related functionals. Zbl 0805.35036 Wang, Xu-Jia 116 1994 Existence of nontrivial solutions for critical semilinear biharmonic equations. Zbl 0805.35031 Gu, Yonggeng; Deng, Yinbin; Wang, Xujia 5 1994 Neumann problem of elliptic equations with limit nonlinearity in boundary condition. Zbl 0805.35030 Deng, Yinbing; Wang, Xujia; Wu, Shaoping 4 1994 Sharp constant in a Sobolev inequality. Zbl 0803.35045 Wang, Xujia 20 1993 Positive solutions of the Neumann problem of \(p\)-Laplacian equations. Zbl 0806.35044 Wang, Xujia 2 1993 Existence of multiple solutions to the equations of Monge-Ampère type. Zbl 0770.35019 Wang, Xujia 16 1992 Existence of positive solutions to nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0795.35037 Wang, Xujia 3 1992 Oblique derivative problems for equations of Monge-Ampère type. Zbl 0815.35029 Wang, Xujia 1 1992 Neumann problems of semilinear elliptic equations involving critical Sobolev exponents. Zbl 0766.35017 Wang, Xujia 142 1991 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,544 Authors 44 Wang, Xu-Jia 33 Papageorgiou, Nikolaos S. 32 Trudinger, Neil Sidney 25 Bao, Jiguang 24 Li, YanYan 21 Mingione, Giuseppe 20 Gutiérrez, Cristian E. 20 Jiang, Feida 20 Sheng, Weimin 19 Chen, Shibing 19 Figalli, Alessio 19 Liu, Jiakun 19 Zhang, Xuemei 18 Jian, Huai-Yu 18 Le, Nam Q. 17 Li, Qirui 17 Rădulescu, Vicenţiu D. 17 Verbitsky, Igor E. 16 Feng, Meiqiang 15 McCann, Robert J. 15 Xiang, Ni 14 Zhou, Bin 13 Chen, ChuanQiang 13 Kuusi, Tuomo 13 Yang, Deane 13 Zhang, Gaoyong 12 Dai, Limei 12 Huang, Yong 12 Ivaki, Mohammad N. 12 Lu, Jian 12 Nguyen, Luc 11 Kitagawa, Jun 11 Savin, Ovidiu V. 11 Werner, Elisabeth M. 11 Xiong, Ge 11 Ye, Deping 10 Böröczky, Karoly jun. 10 Lutwak, Erwin 10 Nguyen Cong Phuc 10 Wu, Yonghong 10 Xu, Lu 9 Chen, Li 9 Feng, Yibin 9 Haslhofer, Robert 9 Ivochkina, Nina Mikhaĭlovna 9 Jiao, Heming 9 Kim, Young-Heon 9 Milán, Francisco 9 Sheng, Li 9 Wang, Zhizhang 8 Brendle, Simon 8 Caffarelli, Luis Ángel 8 Choi, Kyeongsu 8 Colesanti, Andrea 8 Karakhanyan, Aram L. 8 Langford, Mat 8 Li, An-Min 8 Ludwig, Monika 8 Ma, Xi-Nan 8 Tu, Qiang 8 Wei, Juncheng 8 Weinkove, Ben 8 Zhu, Baocheng 7 Bourni, Theodora 7 Chabrowski, Jan H. 7 Daskalopoulos, Panagiota 7 Do Ó, João M. Bezerra 7 Dong, Hongjie 7 Du, Shi-Zhong 7 Guan, Pengfei 7 Hara, Takanobu 7 Li, Haigang 7 Li, Mengni 7 Li, You 7 Loeper, Grégoire 7 Mérigot, Quentin 7 Phong, Duong Hong 7 Repovš, Dušan D. 7 Santambrogio, Filippo 7 Takimoto, Kazuhiro 7 Villani, Cédric 7 Xi, Dongmeng 7 Xu, Jinju 7 Zhang, Dekai 7 Zhang, Zhijun 7 Zhu, Guangxian 7 Zhu, Xiaohua 6 Berman, Robert J. 6 Carlier, Guillaume 6 Dai, Qiuyi 6 de Oliveira, José Francisco 6 Deng, Yinbin 6 Dinew, Sławomir 6 Guo, Bin 6 Huang, Genggeng 6 Ju, Hongjie 6 Klartag, Bo’az 6 Lee, Ki-Ahm 6 Li, Guanghan 6 Liu, Yannan ...and 1,444 more Authors all top 5 Cited in 261 Serials 139 Calculus of Variations and Partial Differential Equations 95 Advances in Mathematics 87 Journal of Differential Equations 80 Nonlinear Analysis. Theory, Methods & Applications. 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Analyse Non Linéaire 15 Annals of Global Analysis and Geometry 13 Journal of Mathematical Sciences (New York) 12 Inventiones Mathematicae 12 Manuscripta Mathematica 12 International Journal of Mathematics 12 Potential Analysis 12 Analysis & PDE 11 Differential Geometry and its Applications 11 Boundary Value Problems 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Indiana University Mathematics Journal 10 Advances in Applied Mathematics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Mathematics in Engineering 9 Geometriae Dedicata 9 Pacific Journal of Mathematics 9 Geometric and Functional Analysis. GAFA 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Complex Variables and Elliptic Equations 8 Communications in Mathematical Physics 8 Journal d’Analyse Mathématique 8 Chinese Annals of Mathematics. Series B 8 SIAM Journal on Mathematical Analysis 8 Acta Mathematica Sinica. English Series 8 Bulletin of Mathematical Sciences 8 Advances in Nonlinear Analysis 7 Bulletin of the Australian Mathematical Society 7 Journal of Computational Physics 7 Annales de l’Institut Fourier 7 Journal of Differential Geometry 7 Mathematische Nachrichten 7 Revista Matemática Iberoamericana 7 NoDEA. Nonlinear Differential Equations and Applications 7 Annals of Mathematics. Second Series 7 Journal of the European Mathematical Society (JEMS) 7 Mediterranean Journal of Mathematics 7 Advances in Calculus of Variations 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of the American Mathematical Society 6 Topological Methods in Nonlinear Analysis 6 Geometry & Topology 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Journal of Mathematical Physics 5 St. Petersburg Mathematical Journal 5 Journal of Inequalities and Applications 5 Journal of Function Spaces 5 Annals of PDE 4 Israel Journal of Mathematics 4 Acta Mathematica 4 American Journal of Mathematics 4 Applied Mathematics and Optimization 4 Journal of the Mathematical Society of Japan 4 Memoirs of the American Mathematical Society 4 Monatshefte für Mathematik 4 Numerische Mathematik 4 Tôhoku Mathematical Journal. Second Series 4 Journal of Scientific Computing 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 SIAM Journal on Scientific Computing 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Analysis in Theory and Applications 4 Frontiers of Mathematics in China 4 Discrete and Continuous Dynamical Systems. Series S 4 Nonlinear Analysis. Theory, Methods & Applications 4 Pure and Applied Analysis 4 Electronic Research Archive 3 Communications in Algebra 3 Mathematical Notes 3 Journal of Geometry and Physics 3 The Annals of Probability 3 Bulletin of the London Mathematical Society 3 Compositio Mathematica 3 Czechoslovak Mathematical Journal 3 Journal of the London Mathematical Society. Second Series ...and 161 more Serials all top 5 Cited in 49 Fields 1,165 Partial differential equations (35-XX) 545 Differential geometry (53-XX) 210 Convex and discrete geometry (52-XX) 172 Calculus of variations and optimal control; optimization (49-XX) 143 Several complex variables and analytic spaces (32-XX) 140 Global analysis, analysis on manifolds (58-XX) 69 Potential theory (31-XX) 67 Algebraic geometry (14-XX) 52 Numerical analysis (65-XX) 48 Real functions (26-XX) 44 Functional analysis (46-XX) 41 Operations research, mathematical programming (90-XX) 36 Optics, electromagnetic theory (78-XX) 32 Operator theory (47-XX) 30 Probability theory and stochastic processes (60-XX) 29 Ordinary differential equations (34-XX) 27 Measure and integration (28-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Integral equations (45-XX) 9 Statistics (62-XX) 9 Fluid mechanics (76-XX) 8 Group theory and generalizations (20-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Systems theory; control (93-XX) 7 Functions of a complex variable (30-XX) 7 Manifolds and cell complexes (57-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Combinatorics (05-XX) 4 Geometry (51-XX) 4 Quantum theory (81-XX) 4 Relativity and gravitational theory (83-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Algebraic topology (55-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 \(K\)-theory (19-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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