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## Wang, Xu-Jia

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 Author ID: wang.xu-jia Published as: Wang, X.; Wang, X. J.; Wang, Xu-Jia; Wang, Xu-jia; Wang, Xujia Homepage: http://maths-people.anu.edu.au/~wang/ External Links: MGP · Wikidata · dblp
 Documents Indexed: 145 Publications since 1988, including 2 Books
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#### Co-Authors

 27 single-authored 29 Trudinger, Neil Sidney 10 Sheng, Weimin 7 Zhou, Bin 6 Jian, Huaiyu 6 Li, Qirui 5 Chou, Kai-Seng 5 Tian, Guji 4 Liu, Jiakun 3 Chen, Shibing 3 Dai, Qiuyi 3 Guan, Zhicheng 3 Lu, Jian 3 Santambrogio, Filippo 2 Deng, Yinbing 2 Guan, Pengfei 2 Wu, Shaoping 1 Bian, Baojun 1 Chen, Haodi 1 Deng, Yinbin 1 Dong, Guangchang 1 Gu, Yonggeng 1 Gursky, Matthew J. 1 He, Yan 1 Huang, Genggeng 1 Ivochkina, Nina Mikhaĭlovna 1 Jian, Huai-Yu 1 Jin, Yongyang 1 Karakhanyan, Aram L. 1 Kocan, Maciej 1 Lanconelli, Ermanno 1 Li, Dongsheng 1 Li, Shenghong 1 Loftin, John C. 1 Ma, Xi-Nan 1 Malchiodi, Andrea 1 Tarantello, Gabriella 1 Urbas, John Ivan Eugene 1 Wang, Jiaxiang 1 Wu, Yating 1 Yang, Deane 1 Yang, Paul C. P. 1 Zhao, Yuwen 1 Zhu, Xiaohua
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#### Serials

 6 Advances in Mathematics 5 Journal of Differential Equations 5 Journal of Differential Geometry 5 Calculus of Variations and Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 4 Journal of Functional Analysis 4 Chinese Annals of Mathematics. Series B 3 Journal of Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 2 Communications on Pure and Applied Mathematics 2 American Journal of Mathematics 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Proceedings 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 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica 1 Analysis 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes in Mathematics 1 Advanced Lectures in Mathematics (ALM) 1 Science China. Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 92 Partial differential equations (35-XX) 37 Differential geometry (53-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 4 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

113 Publications have been cited 2,357 times in 1,314 Documents Cited by Year
Neumann problems of semilinear elliptic equations involving critical Sobolev exponents. Zbl 0766.35017
Wang, Xujia
1991
Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035
Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia
2005
The $$L_p$$-Minkowski problem and the Minkowski problem in centroaffine geometry. Zbl 1245.52001
Chou, Kai-Seng; Wang, Xu-Jia
2006
Hessian measures. II. Zbl 0947.35055
Trudinger, Neil S.; Wang, Xu-Jia
1999
Kähler–Ricci solitons on toric manifolds with positive first Chern class. Zbl 1086.53067
Wang, Xu-Jia; Zhu, Xiaohua
2004
A variational theory of the Hessian equation. Zbl 1035.35037
Chou, Kai-Seng; Wang, Xu-Jia
2001
A class of fully nonlinear elliptic equations and related functionals. Zbl 0805.35036
Wang, Xu-Jia
1994
On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023
Trudinger, Neil S.; Wang, Xu-Jia
2002
The Monge-Ampère equation and its applications. Zbl 1156.35033
Trudinger, Neil S.; Wang, Xu-Jia
2008
The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021
Trudinger, Neil S.; Wang, Xu-Jia
2000
Hessian measures. I. Zbl 0915.35039
Trudinger, Neil S.; Wang, Xu-Jia
1997
On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134
Trudinger, Neil S.; Wang, Xu-Jia
2009
The $$k$$-Hessian equation. Zbl 1196.35093
Wang, Xu-Jia
2009
Convex solutions to the mean curvature flow. Zbl 1231.53058
Wang, Xu-Jia
2011
Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046
Trudinger, Neil S.; Wang, Xu-Jia
2008
The Yamabe problem for higher order curvatures. Zbl 1133.53035
Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia
2007
Hessian measures. III. Zbl 1119.35325
Trudinger, Neil S.; Wang, Xu-Jia
2002
On the Monge mass transfer problem. Zbl 1010.49030
Trudinger, Neil S.; Wang, Xu-Jia
2001
Some counterexamples to the regularity of Monge-Ampère equations. Zbl 0822.35054
Wang, Xu-Jia
1995
Rotationally symmetric solutions to the $$L_p$$-Minkowski problem. Zbl 1273.52006
Lu, Jian; Wang, Xu-Jia
2013
On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038
Trudinger, Neil S.; Wang, Xu-Jia
2009
On the design of a reflector antenna. Zbl 0858.35142
Wang, Xu-Jia
1996
Nonuniqueness of solutions to the $$L_p$$-Minkowski problem. Zbl 1326.35009
Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia
2015
The affine Plateau problem. Zbl 1229.53049
Trudinger, Neil S.; Wang, Xu-Jia
2005
On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442
Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia
1999
The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418
Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia
2004
On the design of a reflector antenna. II. Zbl 1065.78013
Wang, Xu-Jia
2004
Interior $$C^{2,\alpha}$$ regularity for potential functions in optimal transportation. Zbl 1189.35142
Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia
2010
Affine complete locally convex hypersurfaces. Zbl 1071.53008
Trudinger, Neil S.; Wang, Xu-Jia
2002
Bernstein theorem and regularity for a class of Monge-Ampère equations. Zbl 1278.35120
Jian, Huaiyu; Wang, Xu-Jia
2013
A logarithmic Gauss curvature flow and the Minkowski problem. Zbl 1071.53534
Chou, Kai-Seng; Wang, Xu-Jia
2000
Interior gradient estimates for mean curvature equations. Zbl 0909.35022
Wang, Xu-Jia
1998
Singularity profile in the mean curvature flow. Zbl 1184.53071
Sheng, Weimin; Wang, Xu-Jia
2009
Schauder estimates for elliptic and parabolic equations. Zbl 1151.35329
Wang, Xu-Jia
2006
A Poincaré type inequality for Hessian integrals. Zbl 0927.58013
Trudinger, Neil S.; Wang, Xu-Jia
1998
Continuity estimates for the Monge-Ampère equation. Zbl 1138.35326
Jian, Huai-Yu; Wang, Xu-Jia
2007
On the reflector shape design. Zbl 1201.53007
Karakhanyan, Aram; Wang, Xu-Jia
2010
On a Monge-Ampère equation arising in geometric optics. Zbl 0979.35052
Guan, Pengfei; Wang, Xu-Jia
1998
A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry. Zbl 1104.53035
Wang, Xujia
2006
On locally convex hypersurfaces with boundary. Zbl 1020.53002
Trudinger, Neil S.; Wang, Xu-Jia
2002
Sharp constant in a Sobolev inequality. Zbl 0803.35045
Wang, Xujia
1993
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327
Trudinger, Neil S.; Wang, Xu-Jia
2009
Quasilinear elliptic equations with signed measure. Zbl 1154.35351
Trudinger, Neil S.; Wang, Xu-Jia
2009
Regularity for Monge-Ampère equation near the boundary. Zbl 0844.35015
Wang, Xu-Jia
1996
Interior curvature bounds for a class of curvature equations. Zbl 1174.35378
Sheng, Weimin; Urbas, John; Wang, Xu-Jia
2004
Global smoothness for a singular Monge-Ampère equation. Zbl 1378.35149
Jian, Huaiyu; Wang, Xu-Jia; Zhao, Yuwen
2017
On the existence and nonexistence of extremal metrics on toric Kähler surfaces. Zbl 1220.53088
Wang, Xu-jia; Zhou, Bin
2011
The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033
Trudinger, Neil S.; Wang, Xu-Jia
2010
Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003
Trudinger, Neil S.; Wang, Xu-Jia
2002
A new single-step iteration method for solving complex symmetric linear systems. Zbl 1391.65076
Xiao, X. Y.; Wang, X.
2018
Optimal boundary regularity for nonlinear singular elliptic equations. Zbl 1314.35057
Jian, Huaiyu; Wang, Xu-jia
2014
Moser-Trudinger type inequalities for the Hessian equation. Zbl 1210.26018
Tian, Gu-Ji; Wang, Xu-Jia
2010
A class of Sobolev type inequalities. Zbl 1181.46028
Tian, Gu-Ji; Wang, Xu-Jia
2008
Existence of multiple solutions to nonlinear elliptic equations of nondivergence form. Zbl 0828.35048
Wang, Xu-Jia; Deng, Yin-Bing
1995
Existence of multiple solutions to the equations of Monge-Ampère type. Zbl 0770.35019
Wang, Xujia
1992
Matching boundary conditions for lattice dynamics. Zbl 1352.74015
Wang, X.; Tang, S.
2013
Entire solutions of the Monge-Ampère equation. Zbl 0851.35035
Chou, Kai-Seng; Wang, Xu-Jia
1996
Stress wave propagation in orthotropic laminated thick-walled spherical shells. Zbl 1017.74034
Wang, X.; Lu, G.; Guillow, S. R.
2002
Existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature. Zbl 0926.53024
Wang, Xu-Jia
1996
A priori estimates and existence of solutions to the prescribed centroaffine curvature problem. Zbl 1439.35179
Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia
2018
Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems. Zbl 1445.53066
Li, Qi-Rui; Sheng, Weimin; Wang, Xu-Jia
2020
An adaptive immersed boundary-lattice Boltzmann method for simulating a flapping foil in ground effect. Zbl 1390.76781
Wu, J.; Qiu, Y. L.; Shu, C.; Zhao, N.; Wang, X.
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
2015
Regularity in Monge’s mass transfer problem. Zbl 1304.49094
Li, Qi-Rui; Santambrogio, Filippo; Wang, Xu-Jia
2014
Existence of entire solutions to the Monge-Ampère equation. Zbl 1302.35189
Jian, Huaiyu; Wang, Xu-Jia
2014
A priori estimates for fully nonlinear parabolic equations. Zbl 1334.35109
Tian, Guji; Wang, Xu-Jia
2013
The geometrically nonlinear dynamic responses of simply supported beams under moving loads. Zbl 07163398
Sheng, G. G.; Wang, X.
2017
Generalized R-squared for detecting dependence. Zbl 07072186
Wang, X.; Jiang, B.; Liu, J. S.
2017
Multiple solutions of the $$L_{p}$$-Minkowski problem. Zbl 1356.52004
He, Yan; Li, Qi-Rui; Wang, Xu-Jia
2016
Three-dimensional Green’s functions for a steady point heat source in a functionally graded half-space and some related problems. Zbl 1213.80020
Wang, X.; Pan, E.; Roy, A. K.
2007
Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
2006
Affine maximal hypersurfaces. Zbl 1136.35373
Wang, Xu-Jia
2002
Existence and blow-up of solutions to two-phase nonequilibrium problems. Zbl 0857.35141
Guan, Zhicheng; Wang, Xujia
1996
Neumann problem of elliptic equations with limit nonlinearity in boundary condition. Zbl 0805.35030
Deng, Yinbing; Wang, Xujia; Wu, Shaoping
1994
Nonlinear vibration of FG beams subjected to parametric and external excitations. Zbl 1406.74327
Sheng, G. G.; Wang, X.
2018
Thermal and surface effects on the pull-in characteristics of circular nanoplate NEMS actuator based on nonlocal elasticity theory. Zbl 1446.74067
Yang, W. D.; Kang, W. B.; Wang, X.
2017
Regularity of the homogeneous Monge-Ampère equation. Zbl 1335.35087
Li, Qi-Rui; Wang, Xu-Jia
2015
Regularity and analyticity of solutions in a direction for elliptic equations. Zbl 1323.35014
Jin, Yongyang; Li, Dongsheng; Wang, Xu-Jia
2015
Counterexample to the convexity of level sets of solutions to the mean curvature equation. Zbl 1305.35062
Wang, Xu-Jia
2014
Regularity and singularity in the mean curvature flow. Zbl 1198.53075
Sheng, Weimin; Wang, Xu-Jia
2010
The existence of $$(q,k,\lambda ,t)$$-ADFs for $$k=4,5,6$$. Zbl 1205.05028
Wang, X.; Wu, D.; Cheng, M.
2010
Partial regularity for elliptic equations. Zbl 1193.35025
Tian, Guji; Wang, Xu-Jia
2010
Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008
Sheng, Weimin; Trudinger, Neil; Wang, Xujia
2004
Minkowski problems for complete noncompact convex hypersurfaces. Zbl 0873.53043
Chou, Kai-Seng; Wang, Xu-Jia
1995
Existence of nontrivial solutions for critical semilinear biharmonic equations. Zbl 0805.35031
Gu, Yonggeng; Deng, Yinbin; Wang, Xujia
1994
Some notes on the radial solutions of $$\Delta u+| u|^{p- 1}u+\lambda u=0$$. Zbl 0807.35048
Wang, Xujia; Wu, Shaoping
1991
A lattice Boltzmann model for thermal non-Newtonian fluid flows through porous media. Zbl 1410.76362
Kefayati, GH. R.; Tang, H.; Chan, A.; Wang, X.
2018
Ext-algebras of graded skew extensions. Zbl 1398.16039
Shen, Yuan; Wang, X.; Zhou, G.-S.
2018
Interior a priori estimates for the Monge-Ampère equation. Zbl 1326.35168
Liu, Jiakun; Wang, Xu-Jia
2015
An efficient boundary condition-implemented immersed boundary-lattice Boltzmann method for simulation of 3D incompressible viscous flows. Zbl 1391.76642
Wang, X.; Shu, Chang; Wu, Jie; Yang, Li Ming
2014
Prescribed Weingarten curvature equations. Zbl 1317.53095
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
2012
The $$k$$-Yamabe problem. Zbl 1382.53013
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
2012
The mean curvature measure. Zbl 1246.35199
Dai, Qiuyi; Trudinger, Neil S.; Wang, Xu-Jia
2012
On the generalized Stepanov theorem. Zbl 0910.26006
Kocan, Maciej; Wang, Xu-Jia
1997
Asymptotic convergence for a class of fully nonlinear curvature flows. Zbl 1434.53096
Li, Qi-Rui; Sheng, Weimin; Wang, Xu-Jia
2020
Nonlinear forced vibration of size-dependent functionally graded microbeams with damping effects. Zbl 07186626
Sheng, G. G.; Wang, X.
2019
Global regularity of optimal mappings in non-convex domains. Zbl 1427.35090
Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia
2019
Convergence rate estimates for Aleksandrov’s solution to the Monge-Ampère equation. Zbl 1412.35155
Chen, Haodi; Huang, Genggeng; Wang, Xu-Jia
2019
The dynamic stability and nonlinear vibration analysis of stiffened functionally graded cylindrical shells. Zbl 07166694
Sheng, G. G.; Wang, X.
2018
Nonlinear dynamic characteristics of bi-graphene sheets/piezoelectric laminated films considering high order van der Walls force and scale effect. Zbl 07166688
Zhan, H. Z.; Yang, F. P.; Wang, X.
2018
Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems. Zbl 1445.53066
Li, Qi-Rui; Sheng, Weimin; Wang, Xu-Jia
2020
Asymptotic convergence for a class of fully nonlinear curvature flows. Zbl 1434.53096
Li, Qi-Rui; Sheng, Weimin; Wang, Xu-Jia
2020
Nonlinear forced vibration of size-dependent functionally graded microbeams with damping effects. Zbl 07186626
Sheng, G. G.; Wang, X.
2019
Global regularity of optimal mappings in non-convex domains. Zbl 1427.35090
Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia
2019
Convergence rate estimates for Aleksandrov’s solution to the Monge-Ampère equation. Zbl 1412.35155
Chen, Haodi; Huang, Genggeng; Wang, Xu-Jia
2019
A new single-step iteration method for solving complex symmetric linear systems. Zbl 1391.65076
Xiao, X. Y.; Wang, X.
2018
A priori estimates and existence of solutions to the prescribed centroaffine curvature problem. Zbl 1439.35179
Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia
2018
Nonlinear vibration of FG beams subjected to parametric and external excitations. Zbl 1406.74327
Sheng, G. G.; Wang, X.
2018
A lattice Boltzmann model for thermal non-Newtonian fluid flows through porous media. Zbl 1410.76362
Kefayati, GH. R.; Tang, H.; Chan, A.; Wang, X.
2018
Ext-algebras of graded skew extensions. Zbl 1398.16039
Shen, Yuan; Wang, X.; Zhou, G.-S.
2018
The dynamic stability and nonlinear vibration analysis of stiffened functionally graded cylindrical shells. Zbl 07166694
Sheng, G. G.; Wang, X.
2018
Nonlinear dynamic characteristics of bi-graphene sheets/piezoelectric laminated films considering high order van der Walls force and scale effect. Zbl 07166688
Zhan, H. Z.; Yang, F. P.; Wang, X.
2018
Global smoothness for a singular Monge-Ampère equation. Zbl 1378.35149
Jian, Huaiyu; Wang, Xu-Jia; Zhao, Yuwen
2017
The geometrically nonlinear dynamic responses of simply supported beams under moving loads. Zbl 07163398
Sheng, G. G.; Wang, X.
2017
Generalized R-squared for detecting dependence. Zbl 07072186
Wang, X.; Jiang, B.; Liu, J. S.
2017
Thermal and surface effects on the pull-in characteristics of circular nanoplate NEMS actuator based on nonlocal elasticity theory. Zbl 1446.74067
Yang, W. D.; Kang, W. B.; Wang, X.
2017
Multiple solutions of the $$L_{p}$$-Minkowski problem. Zbl 1356.52004
He, Yan; Li, Qi-Rui; Wang, Xu-Jia
2016
A potential theory for the $$k$$-curvature equation. Zbl 1331.31007
Dai, Qiuyi; Wang, Xu-jia; Zhou, Bin
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
2016
Nonuniqueness of solutions to the $$L_p$$-Minkowski problem. Zbl 1326.35009
Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia
2015
An adaptive immersed boundary-lattice Boltzmann method for simulating a flapping foil in ground effect. Zbl 1390.76781
Wu, J.; Qiu, Y. L.; Shu, C.; Zhao, N.; Wang, X.
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
2015
Regularity of the homogeneous Monge-Ampère equation. Zbl 1335.35087
Li, Qi-Rui; Wang, Xu-Jia
2015
Regularity and analyticity of solutions in a direction for elliptic equations. Zbl 1323.35014
Jin, Yongyang; Li, Dongsheng; Wang, Xu-Jia
2015
Interior a priori estimates for the Monge-Ampère equation. Zbl 1326.35168
Liu, Jiakun; Wang, Xu-Jia
2015
A refined laminated plate theory accounting for the third-order shear deformation and interlaminar transverse stress continuity. Zbl 1443.74124
Wang, X.; Shi, G.
2015
Accurate, efficient, and robust Q4-like membrane elements formulated in Cartesian coordinates using the quasi-conforming element technique. Zbl 1394.74095
Shi, Guangyu; Liu, Yingxi; Wang, X.
2015
Interlaminar stresses in piezoelectric laminated composite shells under electric, thermal and mechanical loads. Zbl 1406.74474
Kang, W. B.; Li, Y. D.; Chen, W.; Wang, X.; Fang, C. Q.
2015
Optimal boundary regularity for nonlinear singular elliptic equations. Zbl 1314.35057
Jian, Huaiyu; Wang, Xu-jia
2014
Regularity in Monge’s mass transfer problem. Zbl 1304.49094
Li, Qi-Rui; Santambrogio, Filippo; Wang, Xu-Jia
2014
Existence of entire solutions to the Monge-Ampère equation. Zbl 1302.35189
Jian, Huaiyu; Wang, Xu-Jia
2014
Counterexample to the convexity of level sets of solutions to the mean curvature equation. Zbl 1305.35062
Wang, Xu-Jia
2014
An efficient boundary condition-implemented immersed boundary-lattice Boltzmann method for simulation of 3D incompressible viscous flows. Zbl 1391.76642
Wang, X.; Shu, Chang; Wu, Jie; Yang, Li Ming
2014
Non-linear buckling for the surface rectangular delamination of laminated piezoelectric shells. Zbl 1427.74052
Wang, X.; Yang, W. D.; Sheng, G. G.
2014
$$K$$-stability and canonical metrics on toric manifolds. Zbl 1290.32027
Wang, Xu-jia; Zhou, Bin
2014
Rotationally symmetric solutions to the $$L_p$$-Minkowski problem. Zbl 1273.52006
Lu, Jian; Wang, Xu-Jia
2013
Bernstein theorem and regularity for a class of Monge-Ampère equations. Zbl 1278.35120
Jian, Huaiyu; Wang, Xu-Jia
2013
Matching boundary conditions for lattice dynamics. Zbl 1352.74015
Wang, X.; Tang, S.
2013
A priori estimates for fully nonlinear parabolic equations. Zbl 1334.35109
Tian, Guji; Wang, Xu-Jia
2013
Numerical study of a single drop impact onto a liquid film up to the consequent formation of a crown. Zbl 1297.76175
Jiang, T.; Ouyang, J.; Li, X.; Ren, J.; Wang, X.
2013
Prescribed Weingarten curvature equations. Zbl 1317.53095
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
2012
The $$k$$-Yamabe problem. Zbl 1382.53013
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
2012
The mean curvature measure. Zbl 1246.35199
Dai, Qiuyi; Trudinger, Neil S.; Wang, Xu-Jia
2012
Convex solutions to the mean curvature flow. Zbl 1231.53058
Wang, Xu-Jia
2011
On the existence and nonexistence of extremal metrics on toric Kähler surfaces. Zbl 1220.53088
Wang, Xu-jia; Zhou, Bin
2011
Cheng and Yau’s work on the Monge-Ampère equation and affine geometry. Zbl 1269.53005
Loftin, John; Wang, Xu-Jia; Yang, Deane
2011
Interior $$C^{2,\alpha}$$ regularity for potential functions in optimal transportation. Zbl 1189.35142
Liu, Jiakun; Trudinger, Neil S.; Wang, Xu-Jia
2010
On the reflector shape design. Zbl 1201.53007
Karakhanyan, Aram; Wang, Xu-Jia
2010
The intermediate case of the Yamabe problem for higher order curvatures. Zbl 1194.53033
Trudinger, Neil S.; Wang, Xu-Jia
2010
Moser-Trudinger type inequalities for the Hessian equation. Zbl 1210.26018
Tian, Gu-Ji; Wang, Xu-Jia
2010
Regularity and singularity in the mean curvature flow. Zbl 1198.53075
Sheng, Weimin; Wang, Xu-Jia
2010
The existence of $$(q,k,\lambda ,t)$$-ADFs for $$k=4,5,6$$. Zbl 1205.05028
Wang, X.; Wu, D.; Cheng, M.
2010
Partial regularity for elliptic equations. Zbl 1193.35025
Tian, Guji; Wang, Xu-Jia
2010
On the second boundary value problem for Monge-Ampère type equations and optimal transportation. Zbl 1182.35134
Trudinger, Neil S.; Wang, Xu-Jia
2009
The $$k$$-Hessian equation. Zbl 1196.35093
Wang, Xu-Jia
2009
On strict convexity and continuous differentiability of potential functions in optimal transportation. Zbl 1214.49038
Trudinger, Neil S.; Wang, Xu-Jia
2009
Singularity profile in the mean curvature flow. Zbl 1184.53071
Sheng, Weimin; Wang, Xu-Jia
2009
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem. Zbl 1163.53327
Trudinger, Neil S.; Wang, Xu-Jia
2009
Quasilinear elliptic equations with signed measure. Zbl 1154.35351
Trudinger, Neil S.; Wang, Xu-Jia
2009
The Monge-Ampère equation and its applications. Zbl 1156.35033
Trudinger, Neil S.; Wang, Xu-Jia
2008
Boundary regularity for the Monge-Ampère and affine maximal surface equations. Zbl 1176.35046
Trudinger, Neil S.; Wang, Xu-Jia
2008
A class of Sobolev type inequalities. Zbl 1181.46028
Tian, Gu-Ji; Wang, Xu-Jia
2008
The Yamabe problem for higher order curvatures. Zbl 1133.53035
Sheng, Wei-Min; Trudinger, Neil S.; Wang, Xu-Jia
2007
Continuity estimates for the Monge-Ampère equation. Zbl 1138.35326
Jian, Huai-Yu; Wang, Xu-Jia
2007
Three-dimensional Green’s functions for a steady point heat source in a functionally graded half-space and some related problems. Zbl 1213.80020
Wang, X.; Pan, E.; Roy, A. K.
2007
The $$L_p$$-Minkowski problem and the Minkowski problem in centroaffine geometry. Zbl 1245.52001
Chou, Kai-Seng; Wang, Xu-Jia
2006
Schauder estimates for elliptic and parabolic equations. Zbl 1151.35329
Wang, Xu-Jia
2006
A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry. Zbl 1104.53035
Wang, Xujia
2006
Enclosed convex hypersurfaces with maximal affine area. Zbl 1090.53014
Sheng, Weimin; Trudinger, Neil S.; Wang, Xu-Jia
2006
Regularity of potential functions of the optimal transportation problem. Zbl 1072.49035
Ma, Xi-Nan; Trudinger, Neil S.; Wang, Xu-Jia
2005
The affine Plateau problem. Zbl 1229.53049
Trudinger, Neil S.; Wang, Xu-Jia
2005
Kähler–Ricci solitons on toric manifolds with positive first Chern class. Zbl 1086.53067
Wang, Xu-Jia; Zhu, Xiaohua
2004
The Dirichlet problem for degenerate Hessian equations. Zbl 1140.35418
Ivochkina, Nina; Trudinger, Neil; Wang, Xu-Jia
2004
On the design of a reflector antenna. II. Zbl 1065.78013
Wang, Xu-Jia
2004
Interior curvature bounds for a class of curvature equations. Zbl 1174.35378
Sheng, Weimin; Urbas, John; Wang, Xu-Jia
2004
Convex hypersurfaces of prescribed Weingarten curvatures. Zbl 1065.53008
Sheng, Weimin; Trudinger, Neil; Wang, Xujia
2004
On the weak continuity of elliptic operators and applications to potential theory. Zbl 1067.35023
Trudinger, Neil S.; Wang, Xu-Jia
2002
Hessian measures. III. Zbl 1119.35325
Trudinger, Neil S.; Wang, Xu-Jia
2002
Affine complete locally convex hypersurfaces. Zbl 1071.53008
Trudinger, Neil S.; Wang, Xu-Jia
2002
On locally convex hypersurfaces with boundary. Zbl 1020.53002
Trudinger, Neil S.; Wang, Xu-Jia
2002
Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003
Trudinger, Neil S.; Wang, Xu-Jia
2002
Stress wave propagation in orthotropic laminated thick-walled spherical shells. Zbl 1017.74034
Wang, X.; Lu, G.; Guillow, S. R.
2002
Affine maximal hypersurfaces. Zbl 1136.35373
Wang, Xu-Jia
2002
A variational theory of the Hessian equation. Zbl 1035.35037
Chou, Kai-Seng; Wang, Xu-Jia
2001
On the Monge mass transfer problem. Zbl 1010.49030
Trudinger, Neil S.; Wang, Xu-Jia
2001
The Bernstein problem for affine maximal hypersurfaces. Zbl 0978.53021
Trudinger, Neil S.; Wang, Xu-Jia
2000
A logarithmic Gauss curvature flow and the Minkowski problem. Zbl 1071.53534
Chou, Kai-Seng; Wang, Xu-Jia
2000
Hessian measures. II. Zbl 0947.35055
Trudinger, Neil S.; Wang, Xu-Jia
1999
On the Dirichlet problem for degenerate Monge-Ampère equations. Zbl 1140.35442
Guan, Pengfei; Trudinger, Neil S.; Wang, Xu-Jia
1999
Interior gradient estimates for mean curvature equations. Zbl 0909.35022
Wang, Xu-Jia
1998
A Poincaré type inequality for Hessian integrals. Zbl 0927.58013
Trudinger, Neil S.; Wang, Xu-Jia
1998
On a Monge-Ampère equation arising in geometric optics. Zbl 0979.35052
Guan, Pengfei; Wang, Xu-Jia
1998
Hessian measures. I. Zbl 0915.35039
Trudinger, Neil S.; Wang, Xu-Jia
1997
On the generalized Stepanov theorem. Zbl 0910.26006
Kocan, Maciej; Wang, Xu-Jia
1997
Critical exponent in a Stefan problem with kinetic condition. Zbl 0895.35115
Guan, Zhicheng; Wang, Xu-Jia
1997
On the design of a reflector antenna. Zbl 0858.35142
Wang, Xu-Jia
1996
Regularity for Monge-Ampère equation near the boundary. Zbl 0844.35015
Wang, Xu-Jia
1996
Entire solutions of the Monge-Ampère equation. Zbl 0851.35035
Chou, Kai-Seng; Wang, Xu-Jia
1996
Existence of convex hypersurfaces with prescribed Gauss-Kronecker curvature. Zbl 0926.53024
Wang, Xu-Jia
1996
Existence and blow-up of solutions to two-phase nonequilibrium problems. Zbl 0857.35141
Guan, Zhicheng; Wang, Xujia
1996
...and 13 more Documents
all top 5

#### Cited by 1,317 Authors

 35 Wang, Xu-Jia 33 Papageorgiou, Nikolaos S. 29 Trudinger, Neil Sidney 23 Li, YanYan 21 Mingione, Giuseppe 18 Bao, Jiguang 18 Figalli, Alessio 17 Gutiérrez, Cristian E. 16 Rădulescu, Vicenţiu D. 15 McCann, Robert J. 15 Sheng, Weimin 14 Liu, Jiakun 14 Verbitsky, Igor E. 13 Jian, Huaiyu 13 Jiang, Feida 13 Kuusi, Tuomo 12 Chen, Shibing 12 Le, Nam Q. 12 Yang, Deane 12 Zhang, Gaoyong 12 Zhou, Bin 11 Li, Qirui 10 Huang, Yong 10 Lu, Jian 10 Lutwak, Erwin 10 Zhang, Xuemei 9 Milán, Francisco 9 Savin, Ovidiu V. 8 Böröczky, Karoly jun. 8 Dai, Limei 8 Feng, Meiqiang 8 Ivaki, Mohammad N. 8 Li, An-Min 8 Nguyen, Luc 8 Sheng, Li 8 Werner, Elisabeth M. 7 Brendle, Simon 7 Caffarelli, Luis Ángel 7 Chabrowski, Jan H. 7 Ivochkina, Nina Mikhaĭlovna 7 Kim, Young-Heon 7 Kitagawa, Jun 7 Li, Haigang 7 Martinez, Antonio Olivas 7 Repovš, Dušan D. 7 Santambrogio, Filippo 7 Takimoto, Kazuhiro 7 Wei, Juncheng 7 Xu, Lu 7 Zhang, Zhijun 7 Zhu, Guangxian 6 Colesanti, Andrea 6 Dai, Qiuyi 6 Du, Shi-Zhong 6 Guan, Pengfei 6 Loeper, Grégoire 6 Ludwig, Monika 6 Maldonado, Diego 6 Sánchez, Justino 6 Sawyer, Eric T. 6 Vetro, Calogero 6 Villani, Cédric 6 Wan, Dongrui 6 Weinkove, Ben 6 Xiao, Jie 6 Xiong, Ge 6 Xu, Jinju 6 Zhou, Jiazu 6 Zhu, Baocheng 6 Zhu, Xiaohua 5 Chen, Bohui 5 Chen, ChuanQiang 5 Chen, Xiuxiong 5 Dai, Guowei 5 De Pascale, Luigi 5 Deng, Yinbin 5 Dong, Hongjie 5 Gavitone, Nunzia 5 Guan, Bo 5 Haberl, Christoph 5 Hara, Takanobu 5 Haslhofer, Robert 5 Huang, Hongnian 5 Huang, Zhengge 5 Jiao, Heming 5 Ju, Hongjie 5 Karakhanyan, Aram L. 5 Kolesnikov, Alexander V. 5 Ma, Xi-Nan 5 Mérigot, Quentin 5 Nguyen Cong Phuc 5 Nguyen, Truyen Van 5 Ono, Hajime 5 Rifford, Ludovic 5 Tournier, Federico 5 Vetro, Francesca 5 Xiang, Ni 5 Ye, Deping 4 Berman, Robert J. 4 Cao, Daomin ...and 1,217 more Authors
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#### Cited in 233 Serials

 99 Calculus of Variations and Partial Differential Equations 77 Advances in Mathematics 69 Journal of Differential Equations 65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 55 Journal of Mathematical Analysis and Applications 44 Journal of Functional Analysis 40 Proceedings of the American Mathematical Society 29 Transactions of the American Mathematical Society 27 The Journal of Geometric Analysis 27 Discrete and Continuous Dynamical Systems 23 Archive for Rational Mechanics and Analysis 21 Mathematische Annalen 18 Mathematische Zeitschrift 17 Communications in Partial Differential Equations 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Communications on Pure and Applied Mathematics 15 Duke Mathematical Journal 14 Applied Mathematics Letters 14 Science China. Mathematics 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Communications in Contemporary Mathematics 13 Communications on Pure and Applied Analysis 12 Journal für die Reine und Angewandte Mathematik 12 Applied Mathematical Modelling 11 Results in Mathematics 11 Annals of Global Analysis and Geometry 11 Differential Geometry and its Applications 11 Journal of Mathematical Sciences (New York) 10 Inventiones Mathematicae 10 Manuscripta Mathematica 10 International Journal of Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Potential Analysis 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Computers & Mathematics with Applications 8 Chinese Annals of Mathematics. Series B 8 Geometric and Functional Analysis. GAFA 7 Communications in Mathematical Physics 7 Geometriae Dedicata 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Advanced Nonlinear Studies 7 Analysis & PDE 6 Bulletin of the Australian Mathematical Society 6 Journal d’Analyse Mathématique 6 Journal of the American Mathematical Society 6 NoDEA. Nonlinear Differential Equations and Applications 6 European Journal of Mechanics. A. Solids 6 Journal of the European Mathematical Society (JEMS) 6 Bulletin of Mathematical Sciences 5 Annales de l’Institut Fourier 5 Pacific Journal of Mathematics 5 Advances in Applied Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 SIAM Journal on Scientific Computing 5 Annals of Mathematics. Second Series 5 Complex Variables and Elliptic Equations 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Mathematical Physics 4 Acta Mathematica 4 Journal of Computational and Applied Mathematics 4 Mathematische Nachrichten 4 Monatshefte für Mathematik 4 Tohoku Mathematical Journal. Second Series 4 SIAM Journal on Mathematical Analysis 4 Journal of Inequalities and Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Boundary Value Problems 4 Frontiers of Mathematics in China 4 Advances in Calculus of Variations 4 Journal of Function Spaces 3 Acta Mechanica 3 Communications in Algebra 3 Israel Journal of Mathematics 3 Journal of Computational Physics 3 Applied Mathematics and Optimization 3 Compositio Mathematica 3 Indiana University Mathematics Journal 3 Journal of the Mathematical Society of Japan 3 Memoirs of the American Mathematical Society 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal of Global Optimization 3 St. Petersburg Mathematical Journal 3 Economic Theory 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Geometry & Topology 3 Acta Mathematica Sinica. English Series 3 Advances in Geometry 3 Milan Journal of Mathematics 3 Proceedings of the Steklov Institute of Mathematics 2 Computers and Fluids 2 Computer Methods in Applied Mechanics and Engineering 2 Discrete Mathematics 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Arkiv för Matematik 2 Mathematics of Computation 2 Journal of Geometry and Physics 2 Acta Mathematica Vietnamica ...and 133 more Serials
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#### Cited in 50 Fields

 802 Partial differential equations (35-XX) 376 Differential geometry (53-XX) 129 Convex and discrete geometry (52-XX) 127 Calculus of variations and optimal control; optimization (49-XX) 113 Global analysis, analysis on manifolds (58-XX) 95 Several complex variables and analytic spaces (32-XX) 54 Algebraic geometry (14-XX) 54 Potential theory (31-XX) 45 Numerical analysis (65-XX) 37 Functional analysis (46-XX) 36 Mechanics of deformable solids (74-XX) 35 Real functions (26-XX) 28 Operations research, mathematical programming (90-XX) 26 Operator theory (47-XX) 25 Optics, electromagnetic theory (78-XX) 23 Measure and integration (28-XX) 21 Ordinary differential equations (34-XX) 20 Fluid mechanics (76-XX) 19 Probability theory and stochastic processes (60-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Integral equations (45-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Group theory and generalizations (20-XX) 7 Statistics (62-XX) 7 Systems theory; control (93-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 4 Manifolds and cell complexes (57-XX) 4 Mechanics of particles and systems (70-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 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 $$K$$-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX)

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