W. Dai

activity

20242026

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Showing 2024 · math.APShow all

4 papers · 2 filters

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 $R^{1 + 3}$ .…

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

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