W. Dai

activity

20242026

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math.GR2025

Isometry groups and countable groups with the Lévy property

Wei Dai, Su Gao, Víctor Hugo Yañez

A topological group $G$ is said to have the Lévy property if it admits a dense subgroup which is decomposed as the union of an increasing sequence of compact subgroups $\mathcal{G}…

math.AP2025

Non-radial solutions for the critical quasi-linear Hénon equation involving $p$ -Laplacian in $R^{N}$

Wei Dai, Lixiu Duan, Changfeng Gui +1

In this paper, we investigate the following $D^{1, p}$ -critical quasi-linear Hénon equation involving $p$ -Laplacian \begin{equation*}\label{00} \left\{ \begin{aligned} &-Δ_p u=|x|^α…

math.AP2025

Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1, p}$ -critical quasi-linear nonlocal elliptic equations with Hardy potential

Daomin Cao, Wei Dai, Yafei Li

In this paper, we mainly consider nonnegative weak solutions $u \in D^{1, p} (R^{N})$ to the doubly $D^{1, p} (R^{N})$ -critical nonlocal quasi-linear Schrödinger-Hartree equation: \be…

math.AP2025

On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in $R^{n}$ with $n \geq 3$

Wei Dai, Yichen Hu, Shaolong Peng

Assume $n \geq 3$ and $u \in H ˙^{1} (R^{n})$ . Recently, Piccione, Yang and Zhao \cite{Piccione-Yang-Zhao} established a nonlocal version of Struwe's decomposition in \cite{St…

Isometry groups and countable groups with the Lévy property

Non-radial solutions for the critical quasi-linear Hénon equation involving p-Laplacian in RN

Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly D1,p-critical quasi-linear nonlocal elliptic equations with Hardy potential

On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in Rn with n≥3

Non-radial solutions for the critical quasi-linear Hénon equation involving $p$ -Laplacian in $R^{N}$

Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1, p}$ -critical quasi-linear nonlocal elliptic equations with Hardy potential

On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in $R^{n}$ with $n \geq 3$