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Author ID: wang.xu-jia Recent zbMATH articles by "Wang, Xu-Jia"
Published as: Wang, Xu-Jia; Wang, Xujia; Wang, Xu-jia
Homepage: http://maths-people.anu.edu.au/~wang/
External Links: MGP · Wikidata · dblp · IdRef
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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

Publications by Year

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 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
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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. Series A: Theory and Methods
71 Journal of Mathematical Analysis and Applications
62 Journal of Functional Analysis
57 Proceedings of the American Mathematical Society
52 The Journal of Geometric Analysis
37 Transactions of the American Mathematical Society
30 Discrete and Continuous Dynamical Systems
27 Archive for Rational Mechanics and Analysis
27 Mathematische Annalen
26 Advanced Nonlinear Studies
22 Mathematische Zeitschrift
22 Communications on Pure and Applied Analysis
22 Science China. Mathematics
20 Communications on Pure and Applied Mathematics
19 Journal für die Reine und Angewandte Mathematik
19 Applied Mathematics Letters
19 Communications in Contemporary Mathematics
18 Results in Mathematics
18 Communications in Partial Differential Equations
17 Duke Mathematical Journal
17 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 Annales de l’Institut Henri Poincaré. 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
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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)

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