W. Dai

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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.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

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