W. Dai

collaborators

4 papers

math.AP2026

Nonlinear Neumann boundary problems for $n$ -Laplacian Liouville equation on a half space

Wei Dai, Changfeng Gui, Yichen Hu +1

In this paper, for general $n \geq 2$ , we classify solutions to $n$ -Laplacian Liouville equation with positive nonlinear Neumann boundary condition on the half-space $\mathbb{R}^{n}_…

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…

Nonlinear Neumann boundary problems for n-Laplacian Liouville equation on a half space

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

Nonlinear Neumann boundary problems for $n$ -Laplacian Liouville equation on a half space

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