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Mathematics

D-Index
43
Citations
7541
World Ranking
1696
National Ranking
93

Overview

Xu-Jia Wang is a researcher affiliated with the Australian National University in Australia. Their primary field of study is Mathematics, with a focus on applied mathematical problems and geometric analysis.

The scientist's work spans several subfields within mathematics, including:

  • Applied Mathematics
  • Geometry and Topology
  • Astronomy and Astrophysics
  • Computational Theory and Mathematics
  • Rheumatology

The main topical areas of Xu-Jia Wang's research include:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Nonlinear Partial Differential Equations
  • Point processes and geometric inequalities
  • Osteoarthritis Treatment and Mechanisms
  • Algebraic Geometry and Number Theory
  • Advanced Differential Geometry Research

Recent publications by Xu-Jia Wang demonstrate their involvement in both pure and applied mathematics, including interdisciplinary research relevant to biomechanics. Selected recent papers are:

  • "Aggrecan governs intervertebral discs development by providing critical mechanical cues of the extracellular matrix," 2023, Frontiers in Bioengineering and Biotechnology
  • "Global regularity for the Monge-Ampère equation with natural boundary condition," 2021, Annals of Mathematics
  • "A Priori Estimate for the Complex Monge-Ampère Equation," 2020, Peking Mathematical Journal
  • "Moser-Trudinger inequality for the complex Monge-Ampère equation," 2020, Journal of Functional Analysis
  • "Flow by Gauss curvature to the $ L_p $ dual Minkowski problem," 2022, Mathematics in Engineering

The scientist frequently publishes in a variety of academic venues, notably:

  • arXiv (Cornell University)
  • Science China Mathematics
  • Journal of Differential Geometry
  • Advanced Nonlinear Studies
  • Frontiers in Bioengineering and Biotechnology

Collaborations have been an integral part of their scientific activity, with several frequent coauthors including:

  • Qiang Guang
  • Qi-Rui Li
  • Shibing Chen
  • Genggeng Huang
  • Jiakun Liu

Best Publications

  • Regularity of Potential Functions of the Optimal Transportation Problem

    Xi-Nan Ma;Neil S. Trudinger;Xu-Jia Wang

  • Kahler-Ricci solitons on toric manifolds with positive first Chern class

    Xu-Jia Wang;Xiaohua Zhu

  • The Lp-Minkowski problem and the Minkowski problem in centroaffine geometry

    Kai-Seng Chou;Xu-Jia Wang

  • Neumann problems of semilinear elliptic equations involving critical Sobolev exponents

    Xu-Jia Wang

  • A variational theory of the Hessian equation

    Kai-Seng Chou;Xu-Jia Wang

  • Hessian measures II

    Neil S. Trudinger;Xu-Jia Wang

  • On the weak continuity of Elliptic Operators and applications to Potential Theory

    Neil S. Trudinger;Xu-Jia Wang

  • Convex solutions to the mean curvature flow

    Xu-Jia Wang

  • The Monge-Ampµere equation and its geometric applications

    Neil S. Trudinger;Xu-Jia Wang

  • Hessian measures I

    Neil S. Trudinger;Xu-Jia Wang

  • The k-Hessian Equation

    Xu-Jia Wang

  • On the second boundary value problem for Monge-Ampère type equations and optimal transportation

    Neil S. Trudinger;Xu-Jia Wang

  • The Bernstein problem for affine maximal hypersurfaces

    Neil S. Trudinger;Xu-Jia Wang

  • On the design of a reflector antenna 2

    Xu-Jia Wang

  • On the Monge mass transfer problem

    Neil S. Trudinger;Xu-Jia Wang

  • On the design of a reflector antenna

    Xu-Jia Wang

  • The Yamabe problem for higher order curvatures

    Wei-Min Sheng;Neil S. Trudinger;Xu-Jia Wang

  • Rotationally symmetric solutions to the L p -Minkowski problem

    Jian Lu;Xu-Jia Wang

  • Boundary regularity for the Monge-Ampere and affine maximal surface equations

    Neil S. Trudinger;Xu-Jia Wang

  • On a Monge-Ampère equation arising in geometric optics

    Pengfei Guan;Xu-Jia Wang

Frequent Co-Authors

Neil S. Trudinger
Neil S. Trudinger Australian National University
Andrea Malchiodi
Andrea Malchiodi Scuola Normale Superiore di Pisa
Paul Yang
Paul Yang Princeton University
Sun-Yung Alice Chang
Sun-Yung Alice Chang Princeton University
Antonio Ambrosetti
Antonio Ambrosetti International School for Advanced Studies
Gabriella Tarantello
Gabriella Tarantello University of Rome Tor Vergata
Filippo Santambrogio
Filippo Santambrogio Claude Bernard University Lyon 1

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