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Mathematics
Taiwan
2026

D-Index & Metrics

Mathematics

D-Index
57
Citations
10037
World Ranking
707
National Ranking
3

Research.com Recognitions

  • 2026 - Research.com Mathematics in Taiwan Leader Award
  • 2025 - Research.com Mathematics in Taiwan Leader Award
  • 2022 - Research.com Mathematics in Taiwan Leader Award

Overview

Chang-Shou Lin is affiliated with National Taiwan University in Taiwan and works primarily in the field of mathematics. Their research spans a range of mathematical areas with notable contributions to nonlinear waves and solitons, advanced differential equations and dynamical systems, and geometry and complex manifolds. Other prominent topics of their investigation include advanced algebra and geometry, black holes and theoretical physics, quantum chaos and dynamical systems, and advanced mathematical physics problems.

The scientist's work is documented across multiple publications with frequent appearance in key journals and repositories. Among the most common publication venues are:

  • arXiv (Cornell University)
  • Journal of Differential Geometry
  • Journal of Functional Analysis
  • Advances in Mathematics
  • American Journal of Mathematics

Chang-Shou Lin's research contributions include a number of recent papers, which showcase ongoing work in complex systems and geometric analysis:

  • "A priori estimates of Toda systems, I: the Lie algebras of ₙ, ₙ, ₙ and ₂," 2020, Journal of Differential Geometry
  • "Geometric quantities arising from bubbling analysis of mean field equations," 2020, Communications in Analysis and Geometry

Frequent co-authors contributing to this body of work include:

  • Ting-Jung Kuo
  • Zhijie Chen
  • Daniele Bartolucci

The scientist's research activity is situated mainly within mathematics, but there is also substantive involvement in physics and astronomy as reflected in publication outputs. Subfields of study are diverse but emphasize the intersection of mathematics with physical theories, including statistical and nonlinear physics, geometry and topology, mathematical physics, applied mathematics, and algebra and number theory.

This profile highlights a broad and multidisciplinary approach to complex mathematical problems, evidenced by substantial work in nonlinear wave phenomena, differential equations, geometry, and applications connected to theoretical physics domains such as black holes and quantum chaos.

Best Publications

  • Large amplitude stationary solutions to a chemotaxis system

    C.-S. Lin;W.-M. Ni;I. Takagi

  • A classification of solutions of a conformally invariant fourth order equation in Rn

    Unknown

  • Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces

    Chiun-Chuan Chen;Chang-Shou Lin

  • Topological degree for a mean field equation on Riemann surfaces

    Chiun-Chuan Chen;Chang-Shou Lin

  • Estimates of the conformal scalar curvature equation via the method of moving planes

    Chiun-Chuan Chen;Chang-Shou Lin

  • Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates

    Shu-Ming Chang;Chang Shou Lin;Tai Chia Lin;Wen-Wei Lin

  • Non-Topological Multi-Vortex Solutions to the Self-Dual Chern-Simons-Higgs Equation

    Hsungrow Chan;Chun-Chieh Fu;Chang-Shou Lin

  • Elliptic functions, Green functions and the mean field equations on tori

    Chang-Shou Lin;Chin-Lung Wang

  • Interpolation inequalities with weights

    Chang Shou Lin

  • Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions

    Jürgen Jost;Changshou Lin;Guofang Wang

  • Uniqueness of the ground state solutions of △u+f(u)=0 in Rn, n≥3

    Chiun-Chuan Chen;Chang-Shou Lin

  • On the prescribed scalar curvature problem in RN, local uniqueness and periodicity

    Yinbin Deng;Chang-Shou Lin;Shusen Yan

  • Profile of Blow-up Solutions to Mean Field Equations with Singular Data

    Daniele Bartolucci;Chiun-Chuan Chen;Chang-Shou Lin;Gabriella Tarantello

  • Estimate of the conformal scalar curvature equation via the method of moving planes. II

    Chiun-Chuan Chen;Chang-Shou Lin

  • The local isometric embedding in R3 of two‐dimensional riemannian manifolds with gaussian curvature changing sign cleanly

    Chang-Shou Lin

  • Mean Field Equation of Liouville Type with Singular Data: Topological Degree

    Chiun-Chuan Chen;Chang-Shou Lin

  • Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent

    Chiun-Chuan Chen;Chang-Shou Lin

  • On the diffusion coefficient of a semilinear Neumann problem

    Chang-Shou Lin;Wei-Ming Ni

  • Mean field equations of Liouville type with singular data: Sharper estimates

    Chiun-Chuan Chen;Chang-Shou Lin

  • Existence of Bubbling Solutions for Chern-Simons Model on a Torus

    Chang-Shou Lin;Shusen Yan

  • A counterexample to the nodal domain conjecture and a related semilinear equation

    Chang Shou Lin;Wei Ming Ni

Frequent Co-Authors

Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Gabriella Tarantello
Gabriella Tarantello University of Rome Tor Vergata
Guofang Wang
Guofang Wang University of Freiburg
Wenming Zou
Wenming Zou Tsinghua University
Wei Ming Ni
Wei Ming Ni Chinese University of Hong Kong, Shenzhen
Jürgen Jost
Jürgen Jost Max Planck Institute for Mathematics in the Sciences
Goong Chen
Goong Chen Texas A&M University
Marlan O. Scully
Marlan O. Scully Texas A&M University
Michel Chipot
Michel Chipot University of Zurich
Dudley R. Herschbach
Dudley R. Herschbach Harvard University

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