Lu Chen

activity

20182026

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

1 citations · 2 across the 8 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023

Optimal asymptotic lower bound for stability of fractional Sobolev inequality and the stability of Log-Sobolev inequality on the sphere

Lu Chen, Guozhen Lu, Hanli Tang

We establish the optimal asymptotic lower bound for the stability of fractional Sobolev inequality: \begin{equation}\label{Sob sta ine} \left\|(-Δ)^{s/2} U \right\|_2^2 - \mathcal…

math.AP2023

A sharp trace Adams' inequality in $R^{4}$ and Existence of the extremals

Lu Chen, Guozhen Lu, Maochun Zhu

Let $Ω \subseteq R^{4}$ be a bounded domain with smooth boundary $\partial Ω$ . In this paper, we establish the following sharp form of the trace Adams' inequality in $W^{2,2…

Optimal asymptotic lower bound for stability of fractional Sobolev inequality and the stability of Log-Sobolev inequality on the sphere

A sharp trace Adams' inequality in R4 and Existence of the extremals

A sharp trace Adams' inequality in $R^{4}$ and Existence of the extremals