Guozhen Lu

6.2k total citations · 1 hit paper
194 papers, 4.1k citations indexed

About

Guozhen Lu is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Guozhen Lu has authored 194 papers receiving a total of 4.1k indexed citations (citations by other indexed papers that have themselves been cited), including 177 papers in Applied Mathematics, 95 papers in Mathematical Physics and 68 papers in Computational Theory and Mathematics. Recurrent topics in Guozhen Lu's work include Nonlinear Partial Differential Equations (128 papers), Advanced Harmonic Analysis Research (77 papers) and Advanced Mathematical Modeling in Engineering (68 papers). Guozhen Lu is often cited by papers focused on Nonlinear Partial Differential Equations (128 papers), Advanced Harmonic Analysis Research (77 papers) and Advanced Mathematical Modeling in Engineering (68 papers). Guozhen Lu collaborates with scholars based in United States, China and Canada. Guozhen Lu's co-authors include Nguyen Lam, Jiuyi Zhu, Hanli Tang, Qiaohua Yang, Richard L. Wheeden, William S. Cohn, Peiyong Wang, Maochun Zhu, Yunyan Yang and Jungang Li and has published in prestigious journals such as The FASEB Journal, Toxicology and Applied Pharmacology and Communications on Pure and Applied Mathematics.

In The Last Decade

Guozhen Lu

187 papers receiving 3.8k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates

2011 186 citations Guozhen Lu et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Guozhen Lu United States	34	3.9k	2.1k	1.8k	335	185	194	4.1k
Andrea Cianchi Italy	28	2.3k 0.6×	1.0k 0.5×	1.3k 0.7×	237 0.7×	143 0.8×	116	2.4k
Djairo G. de Figueiredo Brazil	31	2.6k 0.7×	987 0.5×	2.2k 1.2×	165 0.5×	56 0.3×	66	2.9k
Frank Duzaar Germany	29	2.3k 0.6×	1.1k 0.5×	1.8k 1.0×	173 0.5×	14 0.1×	95	2.4k
Angelo Alvino Italy	17	1.0k 0.3×	516 0.3×	750 0.4×	78 0.2×	51 0.3×	47	1.1k
Bohumı́r Opic Czechia	20	1.6k 0.4×	760 0.4×	353 0.2×	92 0.3×	64 0.3×	69	1.7k
Tero Kilpeläinen Finland	20	1.4k 0.4×	643 0.3×	905 0.5×	248 0.7×	34 0.2×	39	1.5k
Vincenzo Ferone Italy	16	971 0.2×	469 0.2×	755 0.4×	97 0.3×	44 0.2×	59	1.1k
Giovanni Molica Bisci Italy	27	2.5k 0.6×	717 0.3×	1.8k 1.0×	62 0.2×	98 0.5×	136	2.6k
Piotr Hajłasz United States	17	1.9k 0.5×	601 0.3×	545 0.3×	633 1.9×	52 0.3×	65	2.1k
Xavier Ros‐Oton Spain	18	1.2k 0.3×	531 0.3×	902 0.5×	43 0.1×	82 0.4×	45	1.4k

Countries citing papers authored by Guozhen Lu

Since Specialization

Citations

This map shows the geographic impact of Guozhen Lu's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Guozhen Lu with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Guozhen Lu more than expected).

Fields of papers citing papers by Guozhen Lu

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Guozhen Lu. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Guozhen Lu. The network helps show where Guozhen Lu may publish in the future.

Co-authorship network of co-authors of Guozhen Lu

This figure shows the co-authorship network connecting the top 25 collaborators of Guozhen Lu. A scholar is included among the top collaborators of Guozhen Lu based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Guozhen Lu. Guozhen Lu is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Lu, Guozhen, et al.. (2025). Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants. Journal de Mathématiques Pures et Appliquées. 206. 103832–103832.

Lâm, Nguyễn Thanh, et al.. (2025). Sharp stability of the Heisenberg Uncertainty Principle: Second-order and curl-free field cases. Journal of Functional Analysis. 290(7). 111321–111321.

Lu, Guozhen, et al.. (2024). Stability of Hardy-Littlewood-Sobolev inequalities with explicit lower bounds. Advances in Mathematics. 450. 109778–109778. 10 indexed citations

Lu, Guozhen, et al.. (2024). Weighted anisotropic isoperimetric inequalities and existence of extremals for singular anisotropic Trudinger-Moser inequalities. Advances in Mathematics. 458. 109949–109949. 1 indexed citations

Chen, Lu, Guozhen Lu, & Hanli Tang. (2023). Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere. Journal of Functional Analysis. 285(5). 110022–110022. 6 indexed citations

Lam, Nguyen, et al.. (2023). Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities. Journal de Mathématiques Pures et Appliquées. 182. 253–284. 11 indexed citations

Lam, Nguyen, et al.. (2022). Hardy’s Identities and Inequalities on Cartan-Hadamard Manifolds. Journal of Geometric Analysis. 33(1). 9 indexed citations

Chen, Lu, Guozhen Lu, & Maochun Zhu. (2021). Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝⁿ. Advanced Nonlinear Studies. 21(4). 733–749. 27 indexed citations

Chen, Lu, et al.. (2021). A sharpened form of Adams-type inequalities on higher-order Sobolev spaces : a simple approach. Canadian Mathematical Bulletin. 65(4). 895–905. 2 indexed citations

10.

Lu, Guozhen, et al.. (2020). 一定および捕獲ポテンシャルを含む臨界指数成長を伴う2重調和方程式の基底状態【JST・京大機械翻訳】. Calculus of Variations and Partial Differential Equations. 59(6). 185. 1 indexed citations

11.

Lu, Guozhen & Maochun Zhu. (2019). A sharp Trudinger-Moser type inequality involving L norm in the entire space R n . Journal of Differential Equations. 267(5). 3046–3082. 24 indexed citations

12.

Lam, Nguyen, et al.. (2019). Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities. Advances in Mathematics. 352. 1253–1298. 28 indexed citations

13.

Lu, Guozhen, et al.. (2018). Weighted L p estimates for rough bi-parameter Fourier integral operators. Journal of Differential Equations. 265(3). 1097–1127. 16 indexed citations

14.

Lu, Guozhen, et al.. (2017). L ^p boundedness of rough bi-parameter Fourier integral operators. Forum Mathematicum. 30(1). 87–107. 20 indexed citations

15.

Lam, Nguyen, et al.. (2014). New characterizations of Sobolev spaces on the Heisenberg group. Journal of Functional Analysis. 267(8). 2962–2994. 4 indexed citations

16.

Lu, Guozhen & Hanli Tang. (2013). Best Constants for Moser-Trudinger Inequalities on High Dimensional Hyperbolic Spaces. Advanced Nonlinear Studies. 13(4). 1035–1052. 39 indexed citations

17.

Lam, Nguyen & Guozhen Lu. (2012). Sharp Moser–Trudinger inequality on the Heisenberg group at the critical case and applications. Advances in Mathematics. 231(6). 3259–3287. 104 indexed citations

18.

Liu, Y. & Guozhen Lu. (1999). Simultaneous Approximations for Functions in Sobolev Spaces by Derivatives of Polyharmonic Cardinal Splines. Journal of Approximation Theory. 101(1). 49–62. 1 indexed citations

19.

Lu, Guozhen. (1998). Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type. Approximation Theory and Its Applications. 14(1). 69–80. 19 indexed citations

20.

Lu, Guozhen & Richard L. Wheeden. (1998). Poincare inequalities, isoperimetric estimates, and representation formulas on product spaces. Indiana University Mathematics Journal. 47(1). 0–0. 14 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact