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20182025
most citedExistence and Non-existence of Ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials

1 citations · 2 across the 5 of their papers we have counts for

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math.AP2025

Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants

Lu Chen, Guozhen Lu, Hanli Tang +1

In this paper, we are concerned with the optimal asymptotic lower bound for the stability of Sobolev inequality on the Heisenberg group. We first establish the optimal local stabil…

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…