Guozhen Lu

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20152026

most citedExistence and Nonexistence of Extremals for critical Adams inequalities in R4 and Trudinger-Moser inequalities in R2

33 citations · 56 across the 30 of their papers we have counts for

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math.AP2026

A complete characterization of the existence of extremals for the Trudinger-Moser inequality on $R^{2}$ under sharp $L^{p}$ -perturbations

Lu Chen, Rou Jiang, Guozhen Lu +1

In this paper, we investigate the following critical Trudinger--Moser inequality on $R^{2}$ under sharp $L^{p}$ -perturbations: $$ S(λ,p) := \sup_{\substack{u\in H^{1}(\mathbb R…

math.AP2026

Stability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework

Lu Chen, Guozhen Lu, Hanli Tang

Although quantitative stability for critical points of the Sobolev and fractional Sobolev inequalities has been extensively studied, the corresponding stability theory for critical…

A complete characterization of the existence of extremals for the Trudinger-Moser inequality on R2 under sharp Lp-perturbations

Stability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework

A complete characterization of the existence of extremals for the Trudinger-Moser inequality on $R^{2}$ under sharp $L^{p}$ -perturbations