World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
4719
World Ranking
2249
National Ranking
116

Yanheng Ding publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Yanheng Ding sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 117 publications — 20th percentile

20% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Yanheng Ding D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Yanheng Ding sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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
Bernhard Ruf
Bernhard Ruf University of Milan
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
Claudianor O. Alves
Claudianor O. Alves Federal University of Campina Grande
Zhi-Qiang Wang
Zhi-Qiang Wang Utah State University
Fanghua Lin
Fanghua Lin Courant Institute of Mathematical Sciences
Louis Jeanjean
Louis Jeanjean University of Franche-Comté
Kazunaga Tanaka
Kazunaga Tanaka Waseda University

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