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

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…

math.AP2025

Non-radial solutions for the critical quasi-linear HÃ©non 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 HÃ©non equation involving $p$ -Laplacian \begin{equation*}\label{00} \left\{ \begin{aligned} &-Î_p u=|x|…

math.AP2025

Characteristic initial value problem for nonlinear wave equation with singular initial data

Wei Dai, Shiwu Yang

In this paper, we study the characteristic initial value problem for a class of nonlinear wave equations with data on a conic light cone in the Minkowski space $R^{1 + 3}$ .…

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 SchrÃ¶dinger-Hartree equation: \b…

math.AP2025

Anisotropic Finsler $N$ -Laplacian Liouville equation in convex cones

Wei Dai, Changfeng Gui, YunPeng Luo

We consider the anisotropic Finsler $N$ -Laplacian Liouville equation \[-Î^{H}_{N}u=e^u \qquad {\rm{in}}\,\, \mathcal{C},\] where $N \geq 2$ , $C \subseteq R^{N}$ is…

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

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 HÃ©non equation involving p-Laplacian in RN

Characteristic initial value problem for nonlinear wave equation with singular initial data

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

Anisotropic Finsler N-Laplacian Liouville equation in convex cones

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

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

Non-radial solutions for the critical quasi-linear HÃ©non 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

Anisotropic Finsler $N$ -Laplacian Liouville equation in convex cones