Rou Jiang

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20242026

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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.AP2025

Existence and Nonexistence of Extremals for Trudinger-Moser inequalities with $L^{p}$ type perturbation on any bounded planar domains

Lu Chen, Rou Jiang, Guozhen Lu +1

In this study, we investigate the perturbed Trudinger-Moser inequalities as follows:\[ S_Î©(Î»,p)=\sup_{u\in H_{0}^{1}(Î©),\Vert\nabla u\Vert _{L^{2}\left( Î©\right) }\leq 1}\int_Î…

math.AP2024

Optimal concentration level of anisotropic Trudinger-Moser functionals on any bounded domain

Lu Chen, Rou Jiang, Maochun Zhu

Let $F$ be convex and homogeneous of degree $1$ , its polar $F^{o}$ represent a finsler metric on $R^{n}$ , and $I^c ◯$ be any bounded open set in $R^{n}$ . In this pap…

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

Existence and Nonexistence of Extremals for Trudinger-Moser inequalities with Lp type perturbation on any bounded planar domains

Optimal concentration level of anisotropic Trudinger-Moser functionals on any bounded domain

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

Existence and Nonexistence of Extremals for Trudinger-Moser inequalities with $L^{p}$ type perturbation on any bounded planar domains