Guozhen Lu

Guozhen Lu

University of Connecticut

H-index: 45

North America-United States

About Guozhen Lu

Guozhen Lu, With an exceptional h-index of 45 and a recent h-index of 31 (since 2020), a distinguished researcher at University of Connecticut, specializes in the field of harmonic analysis, partial differential equations, geometric analysis.

His recent articles reflect a diverse array of research interests and contributions to the field:

Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth

Trudinger–Moser and Hardy–Trudinger–Moser inequalities for the Aharonov–Bohm magnetic field

Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities

Bi-parameter and bilinear Calderón–Vaillancourt theorem with critical order

Sharp Sobolev and Adams–Trudinger–Moser embeddings on weighted Sobolev spaces and their applications

Sharp Higher Order Adams’ Inequality with Exact Growth Condition on Weighted Sobolev Spaces

Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains

Sharp higher order Admas' inequality with exact growth condition on weighted Sobolev spaces

Guozhen Lu Information

University

Position

___

Citations(all)

6740

Citations(since 2020)

3385

Cited By

4829

hIndex(all)

45

hIndex(since 2020)

31

i10Index(all)

149

i10Index(since 2020)

112

Email

University Profile Page

University of Connecticut

Google Scholar

View Google Scholar Profile

Guozhen Lu Skills & Research Interests

harmonic analysis

partial differential equations

geometric analysis

Top articles of Guozhen Lu

Title

Journal

Author(s)

Publication Date

Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth

Calculus of Variations and Partial Differential Equations

Lu Chen

Guozhen Lu

Caifeng Zhang

2024/1

Trudinger–Moser and Hardy–Trudinger–Moser inequalities for the Aharonov–Bohm magnetic field

Calculus of Variations and Partial Differential Equations

Guozhen Lu

Qiaohua Yang

2024/5

Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities

Journal de Mathématiques Pures et Appliquées

Cristian Cazacu

Joshua Flynn

Nguyen Lam

Guozhen Lu

2024/2/1

Bi-parameter and bilinear Calderón–Vaillancourt theorem with critical order

Forum Mathematicum

Jiao Chen

Liang Huang

Guozhen Lu

2024/1/31

Sharp Sobolev and Adams–Trudinger–Moser embeddings on weighted Sobolev spaces and their applications

Forum Mathematicum

João Marcos do Ó

Guozhen Lu

Raoní Ponciano

2024/1/3

Sharp Higher Order Adams’ Inequality with Exact Growth Condition on Weighted Sobolev Spaces

The Journal of Geometric Analysis

João Marcos do Ó

Guozhen Lu

Raoní Ponciano

2024/5

Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains

arXiv preprint arXiv:2306.00194

Guozhen Lu

Raoni Ponciano

2023/5/31

Sharp higher order Admas' inequality with exact growth condition on weighted Sobolev spaces

arXiv preprint arXiv:2309.08566

Guozhen Lu

Raoní Ponciano

2023/9/15

Stability of Hardy-Littlewood-Sobolev inequalities with explicit lower bounds

arXiv preprint arXiv:2301.04097

Lu Chen

Guozhen Lu

Hanli Tang

2023/1/10

The Method of Moving spheres on Hyperbolic Space and Symmetry of Solutions to a Class of PDEs

arXiv preprint arXiv:2310.13811

Jungang Li

Guozhen Lu

Jianxiong Wang

2023/10/20

Preface for the special issue on “Geometric Partial Differential Equations and Applications”

Guozhen Lu

Xi-Nan Ma

William Minicozzi

Weimin Sheng

2023/12/31

Sharp Hardy–Sobolev–Maz’ya, Adams and Hardy–Adams inequalities on quaternionic hyperbolic spaces and on the Cayley hyperbolic plane

Revista Matemática Iberoamericana

Joshua Flynn

Guozhen Lu

Qiaohua Yang

2023/9/14

Potential characterizations of geodesic balls on hyperbolic spaces: a moving plane approach

The Journal of Geometric Analysis

Jungang Li

Guozhen Lu

Jianxiong Wang

2023/4

A new approach to weighted Hardy-Rellich inequalities: improvements, symmetrization principle and symmetry breaking

arXiv preprint arXiv:2310.06637

Anh Xuan Do

Nguyen Lam

Guozhen Lu

2023/10/10

Multi-parameter Hardy spaces theory and endpoint estimates for multi-parameter singular integrals

Guozhen Lu

Jiawei Shen

Lu Zhang

2023/1

Optimal asymptotic lower bound for stability of fractional Sobolev inequality and the global stability of Log-Sobolev inequality on the sphere

arXiv preprint arXiv:2312.11787

Lu Chen

Guozhen Lu

Hanli Tang

2023/12/19

Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere

Journal of Functional Analysis

Lu Chen

Guozhen Lu

Hanli Tang

2023/9/1

Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials

Calculus of Variations and Partial Differential Equations

Lu Chen

Guozhen Lu

Maochun Zhu

2023/3

-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

arXiv preprint arXiv:2310.07083

Anh Xuan Do

Joshua Flynn

Nguyen Lam

Guozhen Lu

2023/10/10

Hardy’s identities and inequalities on Cartan-Hadamard manifolds

The Journal of Geometric Analysis

Joshua Flynn

Nguyen Lam

Guozhen Lu

Saikat Mazumdar

2023/1

See List of Professors in Guozhen Lu University(University of Connecticut)