World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
7249
World Ranking
1497
National Ranking
652

Guozhen Lu 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 Guozhen Lu 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: 194 publications — 60th percentile

60% of scientists in this discipline score the same or lower.

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

Guozhen Lu 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 Guozhen Lu 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: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2018 - Fellow of the American Mathematical Society For contributions to harmonic analysis and partial differential equations, and for service to the mathematical community.

Overview

Guozhen Lu is affiliated with the University of Connecticut in the United States and has a research focus primarily in the field of Mathematics. Their work extensively covers several subfields, including Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Geometry and Topology, and Mechanics of Materials. The scientist's research topics span across Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering, Advanced Harmonic Analysis Research, Numerical Methods in Inverse Problems, Differential Equations and Boundary Problems, Spectral Theory in Mathematical Physics, and Advanced Mathematical Physics Problems.

Their publication record includes significant contributions to various respected venues. These frequent publication venues include arXiv (Cornell University), Advanced Nonlinear Studies, Journal of Geometric Analysis, Calculus of Variations and Partial Differential Equations, and Advances in Mathematics.

Guozhen Lu has collaborated repeatedly with various coauthors, such as Nguyen Lam, Maochun Zhu, Qiaohua Yang, Joshua Flynn, and Lu Chen.

Recent papers by Guozhen Lu and collaborators include:

  • Sharp Trudinger-Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝn, 2021, Advanced Nonlinear Studies
  • Geometric Hardy's inequalities with general distance functions, 2020, Journal of Functional Analysis
  • Concentration-Compactness Principle for Trudinger-Moser's Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument, 2021, Advanced Nonlinear Studies
  • Existence and nonexistence of extremals for critical Adams inequalities in ℝ4 and Trudinger-Moser inequalities in ℝ2, 2020, Advances in Mathematics
  • Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces, 2021, Advances in Mathematics

Guozhen Lu has been recognized as a Fellow of the American Mathematical Society since 2018 for contributions to harmonic analysis and partial differential equations, as well as for service to the mathematical community.

Best Publications

  • Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates

    Steve Hofmann;Guozhen Lu;Dorina Mitrea;Marius Mitrea

  • Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications.

    Guozhen Lu

  • Existence and multiplicity of solutions to equations of N-Laplacian type with critical exponential growth in RN☆

    Nguyen Lam;Guozhen Lu;Guozhen Lu

  • A new approach to sharp Moser–Trudinger and Adams type inequalities: A rearrangement-free argument

    Nguyen Lam;Guozhen Lu;Guozhen Lu

  • Representation formulas and weighted Poincaré inequalities for Hörmander vector fields

    Bruno Franchi;Guozhen Lu;Richard L. Wheeden

  • Best constants for Moser-Trudinger inequalities on the Heisenberg group

    William S. Cohn;Guozhen Lu

  • Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications ✩

    Nguyen Lam;Guozhen Lu;Guozhen Lu

  • The sharp Poincaré inequality for free vector fields: an endpoint result.

    Guozhen Lu

  • A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type

    Bruno Franchi;Guozhen Lu;Richard L. Wheeden

  • Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition

    Nguyen Lam;Guozhen Lu

  • Convex functions on the Heisenberg group

    Guozhen Lu;Juan J. Manfredi;Bianca Stroffolini

  • Inhomogeneous infinity Laplace equation

    Guozhen Lu;Peiyong Wang

  • Symmetry and regularity of extremals of an integral equation related to the Hardy–Sobolev inequality

    Guozhen Lu;Jiuyi Zhu

  • Sharp constant and extremal function for the improvedMoser-Trudinger inequality involving $L^p$ norm in two dimension

    Unknown

  • Sharp Hardy–Adams inequalities for bi-Laplacian on hyperbolic space of dimension four

    Guozhen Lu;Qiaohua Yang

  • Sharp constants for Moser-Trudinger inequalities on spheres in complex space ℂn

    William S. Cohn;Guozhen Lu

  • Best constants for Moser-Trudinger inequalities on high dimensional hyperbolic spaces

    Guozhen Lu;Guozhen Lu;Hanli Tang

  • Adams' inequalities for bi-Laplacian and extremal functions in dimension four

    Guozhen Lu;Guozhen Lu;Yunyan Yang

  • Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations

    Guozhen Lu

  • Sharp Moser–Trudinger Inequalities on Hyperbolic Spaces with Exact Growth Condition

    Guozhen Lu;Guozhen Lu;Hanli Tang

  • A PDE Perspective of the Normalized Infinity Laplacian

    Guozhen Lu;Peiyong Wang

Frequent Co-Authors

Richard L. Wheeden
Richard L. Wheeden Rutgers, The State University of New Jersey
Eric T. Sawyer
Eric T. Sawyer McMaster University
Carlos Pérez
Carlos Pérez University of the Basque Country
Pekka Koskela
Pekka Koskela University of Jyväskylä
Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Dachun Yang
Dachun Yang Beijing Normal University
Marius Mitrea
Marius Mitrea Baylor University
Paul H. Rabinowitz
Paul H. Rabinowitz University of Wisconsin–Madison
Steve Hofmann
Steve Hofmann University of Missouri
Antonio Ambrosetti
Antonio Ambrosetti International School for Advanced Studies

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