2 papers
math.AP2026
A complete characterization of the existence of extremals for the Trudinger-Moser inequality on under sharp -perturbations
Lu Chen, Rou Jiang, Guozhen Lu +1
In this paper, we investigate the following critical Trudinger--Moser inequality on under sharp -perturbations: $$ S(λ,p) := \sup_{\substack{u\in H^{1}(\mathbb R…
math.AP2025
Existence and Nonexistence of Extremals for Trudinger-Moser inequalities with 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_Ω(λ,p)=\sup_{u\in H_{0}^{1}(Ω),\Vert\nabla u\Vert _{L^{2}\left( Ω\right) }\leq 1}\int_Ω\lef…