Xu-Jia Wang | Academic Influence

Xu-Jia Wang's AcademicInfluence.com Rankings

Xu-Jia Wang

Mathematics

#2507

World Rank

#3862

Historical Rank

Number Theory

#307

World Rank

#382

Historical Rank

Algebra

#459

World Rank

#622

Historical Rank

Measure Theory

#1600

World Rank

#1979

Historical Rank

mathematics Degrees

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Mathematics

Xu-Jia Wang's Degrees

PhD Mathematics Australian National University
Bachelors Mathematics Australian National University

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Why Is Xu-Jia Wang Influential?

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According to Wikipedia, Xu-Jia Wang is a Chinese-Australian mathematician. He is a professor of mathematics at the Australian National University and a fellow of the Australian Academy of Science. Biography Wang was born in Chun'an County, Zhejiang province, China. Wang obtained his B.S. in 1983 and his Ph.D. in 1990 from the Department of Mathematics of Zhejiang University in Hangzhou.

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Xu-Jia Wang's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Regularity of Potential Functions of the Optimal Transportation Problem (2005) (376)
Kahler-Ricci solitons on toric manifolds with positive first Chern class (2004) (367)
The Lp-Minkowski problem and the Minkowski problem in centroaffine geometry (2006) (327)
A variational theory of the Hessian equation (2001) (234)
Neumann problems of semilinear elliptic equations involving critical Sobolev exponents (1991) (230)
The Monge-Ampµere equation and its geometric applications (2008) (211)
On the weak continuity of elliptic operators and applications to potential theory (2002) (209)
Hessian measures II (1999) (201)
Convex solutions to the mean curvature flow (2004) (200)
On the second boundary value problem for Monge-Ampère type equations and optimal transportation (2006) (190)
Hessian measures I (1997) (182)
The Bernstein problem for affine maximal hypersurfaces (2000) (174)
On the design of a reflector antenna (1996) (165)
The k-Hessian Equation (2009) (160)
The Yamabe problem for higher order curvatures (2005) (147)
Boundary regularity for the Monge-Ampere and affine maximal surface equations (2005) (145)
On the Monge mass transfer problem (2001) (133)
On the design of a reflector antenna II (2004) (132)
The affine Plateau problem (2004) (104)
Rotationally symmetric solutions to the L p -Minkowski problem (2013) (97)
On a Monge-Ampère equation arising in geometric optics (1998) (90)
A logarithmic Gauss curvature flow and the Minkowski problem (2000) (87)
Hessian Measures III (2002) (87)
Schauder Estimates for Elliptic and Parabolic Equations* (2006) (87)
Singularity Profile in the Mean Curvature Flow (2009) (87)
On Strict Convexity and Continuous Differentiability of Potential Functions in Optimal Transportation (2009) (86)
On the dirichlet problem for degenerate Monge-Ampère equations (1999) (81)
Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems (2017) (81)
The Dirichlet Problem for Degenerate Hessian Equations (2005) (80)
Interior C 2,α Regularity for Potential Functions in Optimal Transportation (2009) (76)
Nonuniqueness of solutions to the L-p-Minkowski problem (2015) (71)
Interior curvature bounds for a class of curvature equations (2004) (66)
Sharp constant in a Sobolev inequality (1993) (66)
Affine complete locally convex hypersurfaces (2002) (65)
Interior gradient estimates for mean curvature equations (1998) (65)
Continuity Estimates for the Monge-Ampère Equation (2007) (62)
Bernstein theorem and regularity for a class of monge-ampére equations (2013) (60)
A priori Estimates and Existence for a Class of Fully Nonlinear Elliptic Equations in Conformal Geometry* (2006) (57)
ON THE REFLECTOR SHAPE DESIGN (2010) (53)
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem (2005) (49)
On locally convex hypersurfaces with boundary (2002) (46)
A Poincaré type inequality for Hessian integrals (1998) (43)
REGULARITY FOR MONGE-AMPERE EQUATION NEAR THE BOUNDARY (1996) (41)
The intermediate case of the Yamabe problem for higher order curvatures (2009) (38)
Quasilinear elliptic equations with signed measure data (2008) (33)
A Class of Sobolev Type Inequalities (2008) (30)
A Priori Estimates for Fully Nonlinear Parabolic Equations (2013) (28)
Moser-Trudinger type inequalities for the Hessian equation (2010) (27)
EXISTENCE OF CONVEX HYPERSURFACES WITH PRESCRIBED GAUSS-KRONECKER CURVATURE (1996) (26)
Multiple solutions of the $$L_{p}$$Lp-Minkowski problem (2016) (25)
Optimal boundary regularity for nonlinear singular elliptic equations (2014) (24)
Global smoothness for a singular Monge–Ampère equation☆ (2017) (24)
Convex Hypersurfaces of prescribed Weingarten curvatures (2004) (23)
Existence of Multiple Solutions to Nonlinear Elliptic Equations of Nondivergence Form (1995) (23)
Existence of multiple solutions to the equations of Monge-Ampère type (1992) (22)
A priori estimates and existence of solutions to the prescribed centroaffine curvature problem (2018) (22)
AFFINE MAXIMAL HYPERSURFACES (2003) (20)
Existence of entire solutions to the Monge-Ampère equation (2014) (19)
On the existence and nonexistence of extremal metrics on toric Kähler surfaces (2011) (19)
Partial regularity for elliptic equations (2010) (19)
On strict convexity and $C^1$ regularity of potential functions in optimal transportation (2007) (18)
ENTIRE SOLUTIONS OF THE MONGE-AMPERE EQUATION (1996) (15)
Asymptotic Convergence for a Class of Fully Nonlinear Curvature Flows (2020) (15)
Global regularity for the Monge-Ampère equation with natural boundary condition (2018) (14)
On Asymptotic Behaviour and W2, p Regularity of Potentials in Optimal Transportation (2015) (13)
Regularity of the homogeneous Monge-Ampère equation (2015) (12)
Boundary regularity for the second boundary-value problem of Monge-Ampère equations in dimension two (2018) (12)
Moser-Trudinger inequality for the complex Monge-Ampère equation (2020) (12)
Convergence Rate Estimates for Aleksandrov's Solution to the Monge-Ampère Equation (2019) (11)
The reflector design problem (2007) (11)
Interior a priori estimates for the Monge-Ampere equation (2014) (11)
Bernstein-Jorgens Theorem for a Fourth Order Partial Differential Equation (2002) (11)
Counterexample to the convexity of level sets of solutions to the mean curvature equation (2014) (10)
The k-Yamabe problem (2012) (10)
Minkowski problem for complete noncompact convex hypersurfaces (1995) (10)
Convexity of the support of the displacement interpolation: Counterexamples (2016) (10)
Strict convexity and C1,α regularity of potential functions in optimal transportation under condition A3w (2016) (10)
Enclosed convex hypersurfaces with maximal affine area (2006) (9)
Geometric analysis and PDEs (2009) (8)
Existence and Blow-Up of Solutions to Two-Phase Nonequilibrium Problems (1996) (8)
The $L_p$-Minkowski problem with super-critical exponents (2022) (8)
Prescribed Weingarten Curvature Equations (2012) (8)
REGULARITY AND ANALYTICITY OF SOLUTIONS IN A DIRECTION FOR ELLIPTIC EQUATIONS (2015) (7)
Regularity and Singularity in the Mean Curvature Flow ∗ (2009) (7)
Trends in partial differential equations (2010) (7)
Regularity in optimal transportation (2009) (5)
The Monge Optimal transportation problem (2004) (4)
The mean curvature measure (2009) (4)
New proof for the regularity of Monge–Ampère type equations (2020) (4)
Global regularity of optimal mappings in non-convex domains (2019) (4)
Cheng and Yau’s Work on the Monge-ampère Equation and Affine Geometry (2010) (3)
A boundary expansion of solutions to nonlinear singular elliptic equations (2021) (3)
Critical exponent in a Stefan problem with kinetic condition (1997) (3)
Multiple solutions of the L p -Minkowski problem (2016) (2)
A potential theory for the k-curvature equation☆ (2016) (2)
Flow by Gauss curvature to the $ L_p $ dual Minkowski problem (2022) (2)
K-stabilty and canonical metrics on toric manifolds (2014) (2)
Response to a question of Yanyan Li and Luc Nguyen in their paper "A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound", arXiv:1212.0460 (2012) (2)
On the generalized Stepanov theorem (1997) (2)
Continuity for the Monge Mass Transfer Problem in Two Dimensions (2018) (2)
SINGULARITY BEHAVIOR OF THE MEAN CURVATURE FLOW (2006) (1)
The Christoffel problem by the fundamental solution of the Laplace equation (2019) (1)
Regularity of free boundary for the Monge-Amp\`ere obstacle problem (2021) (1)
A NOTE ON THE YAMABE PROBLEM (2005) (1)
A Priori Estimate for the Complex Monge–Ampère Equation (2020) (1)
Global C 1 ,α Regularity for Monge–Ampère Equation and Convex Envelope (2022) (1)
A perturbation method for elliptic and parabolic equations (2012) (1)
The re∞ector design problem (2007) (1)
$C^{2,\alpha}$ regularity of free boundaries in optimal transportation (2019) (0)
AffineMaximal Hypersurfaces (2002) (0)
GRADIENT ESTIMATES FOR MEAN CURVATURE EQUATIONS (2006) (0)
A pr 2 00 4 CONVEX SOLUTIONS TO THE MEAN CURVATURE FLOW (2004) (0)
Answer to the questions of Yanyan Li and Luc Nguyen in arXiv:1302.1603 (2013) (0)
Geometric Analysis and PDEs: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007 (2009) (0)
On the four-vertex theorem for curves on locally convex surfacessurfaces (2020) (0)
D G ] 8 F eb 2 01 0 CONVEX SOLUTIONS TO THE MEAN CURVATURE FLOW (0)
$C^{2,\alpha}$ regularity of free boundaries in planar optimal partial transportation (2019) (0)
The signed mean curvature measure (2015) (0)
A mathematical theory in the reflector antenna design (2013) (0)
C2,α REGULARITY OF FREE BOUNDARIES IN PLANAR OPTIMAL PARTIAL TRANSPORTATION (2019) (0)
ON A M O N G E - A M P E RE E Q U A T I ON A R I S I NG IN G E O M E T R IC OPTICS (2008) (0)
Global regularity of optimal mappings in non-convex domains (2019) (0)
Global $$C^{1,\alpha }$$ Regularity for Monge–Ampère Equation and Convex Envelope (2022) (0)
0 50 54 63 v 1 2 3 M ay 2 00 5 THE YAMABE PROBLEM FOR HIGHER ORDER CURVATURES (2005) (0)
C^{1,\alpha} Regularity of convex hypersurfaces with prescribed curvature measures (2023) (0)
Continuity for the Monge Mass Transfer Problem in Two Dimensions (2018) (0)
A boundary expansion of solutions to nonlinear singular elliptic equations (2021) (0)

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What Schools Are Affiliated With Xu-Jia Wang?

Xu-Jia Wang is affiliated with the following schools: