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Mathematics

D-Index
40
Citations
7793
World Ranking
2022
National Ranking
108

Research.com Recognitions

  • 2017 - Fellow of the American Mathematical Society For contributions to nonlinear partial differential equations and applications.

Overview

Congming Li is a researcher affiliated with Shanghai Jiao Tong University in China specializing in mathematics, with a strong focus on applied mathematics. Their work spans several subfields including applied mathematics, computational theory and mathematics, mathematical physics, modeling and simulation, and control and systems engineering.

The main themes in Congming Li's research include advanced mathematical modeling in engineering, nonlinear differential equations analysis, nonlinear partial differential equations, differential equations and boundary problems, Navier-Stokes equation solutions, numerical methods in inverse problems, and fractional differential equations solutions.

The researcher has published extensively in various scientific venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Calculus of Variations and Partial Differential Equations
  • Communications on Pure & Applied Analysis
  • Advances in Mathematics

Among recent publications, selected papers by Congming Li are:

  • "Non-negative solutions to fractional Laplace equations with isolated singularity" (2020) in Advances in Mathematics
  • "Pointwise regularity for fractional equations" (2021) in Journal of Differential Equations
  • "A note on the Gagliardo-Nirenberg inequality in a bounded domain" (2022) in Communications on Pure & Applied Analysis
  • "Classification of anti-symmetric solutions to the fractional Lane-Emden system" (2022) in Science China Mathematics

In addition, Congming Li coauthored a paper in 2021 titled "Classification of anti-symmetric solutions to nonlinear fractional Laplace equations" published in Calculus of Variations and Partial Differential Equations, authored by Ran Zhuo.

Frequent collaborators of Congming Li include:

  • Ran Zhuo
  • Chenkai Liu
  • Yahong Guo
  • Leyun Wu
  • Meiqing Xu

Recognition for their work includes election as a Fellow of the American Mathematical Society in 2017, cited for contributions to nonlinear partial differential equations and their applications.

Best Publications

  • Classification of solutions of some nonlinear elliptic equations

    Wenxiong Chen;Congming Li

  • Classification of solutions for an integral equation

    Wenxiong Chen;Congming Li;Biao Ou

  • GLOBAL WELL-POSEDNESS OF THE VISCOUS BOUSSINESQ EQUATIONS

    Thomas Y. Hou;Congming Li

  • A direct method of moving planes for the fractional Laplacian

    Wenxiong Chen;Congming Li;Congming Li;Yan Li

  • Classification of Solutions for a System of Integral Equations

    Wenxiong Chen;Congming Li;Biao Ou

  • Qualitative properties of solutions for an integral equation

    Wenxiong Chen;Congming Li;Biao Ou

  • Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains

    Congming Li

  • Stabilizing the Benjamin–Feir instability

    Harvey Segur;Diane Henderson;John Carter;Joe Hammack

  • A priori estimates for prescribing scalar curvature equations

    Wenxiong Chen;Congming Li

  • Maximum principles for the fractional p-Laplacian and symmetry of solutions

    Wenxiong Chen;Wenxiong Chen;Congming Li;Congming Li

  • Local asymptotic symmetry of singular solutions to nonlinear elliptic equations

    Congming Li

  • Prescribing gaussian curvatures on surfaces with conical singularities

    Wenxiong Chen;Wenxiong Chen;Congming Li;Congming Li

  • QUALITATIVE PROPERTIES OF SOLUTIONS TO SOME NONLINEAR ELLIPTIC EQUATIONS IN R 2

    Wenxiong Chen;Congming Li

  • Dynamic stability of the three-dimensional axisymmetric Navier-Stokes equations with swirl

    Thomas Y. Hou;Congming Li

  • An integral system and the Lane-Emden conjecture

    Wenxiong Chen;Congming Li

  • Uniqueness of Positive Bound States to Schrödinger Systems with Critical Exponents

    Congming Li;Li Ma

  • What kinds of singular surfaces can admit constant curvature

    Wenxiong Chen;Congming Li

  • Regularity of solutions for a system of integral equations

    Wenxiong Chen;Congming Li

  • Regularity of solutions for an integral system of Wolff type

    Chao Ma;Wenxiong Chen;Congming Li

  • Symmetry of solutions to some systems of integral equations

    Chao Jin;Congming Li

  • Local asymptotic symmetry of singular solutions to nonlinear elliptic equations

    Unknown

Frequent Co-Authors

Wenxiong Chen
Wenxiong Chen Yeshiva University
Thomas Y. Hou
Thomas Y. Hou California Institute of Technology
Xiao-Chuan Cai
Xiao-Chuan Cai University of Colorado Boulder
Harvey Segur
Harvey Segur University of Colorado Boulder
Guofang Wang
Guofang Wang University of Freiburg

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