World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
7249
World Ranking
1497
National Ranking
651

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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