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D-Index & Metrics

Mathematics

D-Index
39
Citations
4719
World Ranking
2248
National Ranking
117

Overview

Yanheng Ding is affiliated with the Chinese Academy of Sciences in China and has produced research primarily in the field of mathematics, with significant contributions also in computer science and physics and astronomy. Their work largely focuses on advanced topics within mathematical physics and applied mathematics.

Their research involves intersecting areas including nonlinear partial differential equations, advanced mathematical physics problems, and mathematical modeling in engineering contexts. Key thematic areas of their work include:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Physics Problems
  • Advanced Mathematical Modeling in Engineering
  • Spectral Theory in Mathematical Physics
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Numerical methods in inverse problems

Ding's publication record features both journal articles and contributions to preprint archives, with multiple papers published in peer-reviewed venues. Notable recent papers include:

  • "Semiclassical states for Choquard type equations with critical growth: critical frequency case" (2020), published in Nonlinearity
  • "Infinitely many solutions of Dirac equations with concave and convex nonlinearities" (2021), in Zeitschrift für angewandte Mathematik und Physik
  • "Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations" (2021), in Calculus of Variations and Partial Differential Equations
  • "Normalized Solutions to Schrödinger Equations with Critical Exponent and Mixed Nonlocal Nonlinearities" (2024), in Journal of Geometric Analysis
  • "L²-Normalized Solitary Wave Solutions of a Nonlinear Dirac Equation" (2022), in Journal of Geometric Analysis

Frequent publication venues where Ding's work appears include:

  • Journal of Differential Equations
  • arXiv (Cornell University)
  • Journal of Geometric Analysis
  • Calculus of Variations and Partial Differential Equations
  • Journal of Mathematical Analysis and Applications

Collaboration has played a role in Ding's research, with frequent co-authors including:

  • Qi Guo
  • Huayang Wang
  • Yuanyang Yu
  • Xiaojing Dong
  • Tian Xu

The subfields most represented in Ding's body of work are mathematical physics, applied mathematics, computational theory and mathematics, statistical and nonlinear physics, and control and systems engineering.

Best Publications

  • Deformation theorems on non‐metrizable vector spaces and applications to critical point theory

    Thomas Bartsch;Yanheng Ding

  • Variational methods for strongly indefinite problems

    Yanheng Ding

  • Bound states for semilinear Schrödinger equations with sign-changing potential

    Yanheng Ding;Andrzej Szulkin

  • On a nonlinear Schrödinger equation with periodic potential

    Thomas Bartsch;Yanheng Ding

  • Solutions of perturbed Schrödinger equations with critical nonlinearity

    Yanheng Ding;Fanghua Lin

  • Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms

    Yanheng Ding;Cheng Lee

  • Multiplicity of positive solutions of a nonlinear Schrödinger equation

    Yanheng Ding;Kazunaga Tanaka

  • Periodic and homoclinic solutions to a class of Hamiltonian systems with the potentials changing sign

    Mario Girardi;Y. H. Ding

  • Solutions of nonlinear Dirac equations

    Thomas Bartsch;Yanheng Ding

  • Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities

    Yanheng Ding;Xiaoying Liu

  • Strongly indefinite functionals and multiple solutions of elliptic systems

    D. G. De Figueiredo;Y. H. Ding

  • Homoclinic orbits of a Hamiltonian system

    Yanheng Ding;Michel Willem

  • Homoclinic orbits for a nonperiodic Hamiltonian system

    Yanheng Ding;Louis Jeanjean

  • Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity

    C.O. Alves;Y.H. Ding

  • Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials

    Yanheng Ding;Juncheng Wei

  • Semi-classical limits of ground states of a nonlinear Dirac equation

    Yanheng Ding;Xiaoying Liu

  • Homoclinic solutions of an infinite-dimensional Hamiltonian system

    Thomas Bartsch;Yanheng Ding

  • Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation

    Yanheng Ding

  • Infinitely many homoclinic orbits of a Hamiltonian system with symmetry

    Yanheng Ding;Mario Girardi

  • Homoclinic Orbits for First Order Hamiltonian Systems

    Y.H. Ding;S.J. Li

  • Periodic Solutions of Hamiltonian Systems

    Yanheng Ding;Cheng Lee

Frequent Co-Authors

Thomas Bartsch
Thomas Bartsch University of Giessen
Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Michel Willem
Michel Willem Université Catholique de Louvain
Djairo G. de Figueiredo
Djairo G. de Figueiredo State University of Campinas
Fanghua Lin
Fanghua Lin Courant Institute of Mathematical Sciences
Zhi-Qiang Wang
Zhi-Qiang Wang Utah State University
Claudianor O. Alves
Claudianor O. Alves Federal University of Campina Grande
Louis Jeanjean
Louis Jeanjean University of Franche-Comté
Kazunaga Tanaka
Kazunaga Tanaka Waseda University

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