W. Dai

activity

20242026

collaborators

10 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.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…

math.AP2024

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

Wei Dai, Changfeng Gui, YunPeng Luo

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

math.AP2024

Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to $D^{1, p}$ -critical quasi-linear static Schrödinger-Hartree equation involving $p$ -Laplacian $- Δ_{p}$

Wei Dai, Yafei Li, Zhao Liu

In this paper, we mainly consider nonnegative weak solution to the $D^{1, p} (R^{N})$ -critical quasi-linear static Schrödinger-Hartree equation with $p$ -Laplacian $- Δ_{p}$ and nonlo…

math.AP2024

Classification of solutions to $3$ -D and $4$ -D mixed order conformally invariant systems with critical and exponential growth

Wei Dai, Lixiu Duan, Rong Zhang

In this paper, without any assumption on $v$ and under the extremely mild assumption $u (x) = O (∣ x ∣^{K})$ as $∣ x ∣ \to + \infty$ for some $K ≫ 1$ arbitrarily large, we classify s…

math.AP2024

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

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

Anisotropic Finsler N-Laplacian Liouville equation in convex cones

Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to D1,p-critical quasi-linear static Schrödinger-Hartree equation involving p-Laplacian −Δp​

Classification of solutions to 3-D and 4-D mixed order conformally invariant systems with critical and exponential growth

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

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 $n \geq 3$

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

Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to $D^{1, p}$ -critical quasi-linear static Schrödinger-Hartree equation involving $p$ -Laplacian $- Δ_{p}$

Classification of solutions to $3$ -D and $4$ -D mixed order conformally invariant systems with critical and exponential growth