W. Dai

collaborators

8 papers

math.RT2026

On endomorphism algebras of silting complexes over hereditary abelian categories

Wei Dai, Changjian Fu, Liangang Peng

Let $E$ be the class of finite-dimensional algebras isomorphic to endomorphism algebras of silting complexes over hereditary abelian categories. It is proved that the cla…

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.GR2025

Isometry groups and countable groups with the LÃ©vy property

Wei Dai, Su Gao, VÃctor Hugo YaÃ±ez

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

math.AP2025

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 $R^{1 + 3}$ .…

On endomorphism algebras of silting complexes over hereditary abelian categories

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

Isometry groups and countable groups with the LÃ©vy property

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

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 $R^{N}$