1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2024
New type of solutions for the critical Lane-Emden system
Wenjing Chen, Xiaomeng Huang
In this paper, we consider the critical Lane-Emden system \begin{align*} \begin{cases} -Δu=K_1(y)v^p,\quad y\in \mathbb{R}^N,&\\ -Δv=K_2(y)u^q,\quad y\in \mathbb{R}^N,&\\ u,v>0, \e…
cs.LG2023★ 1 cited
Koopman neural operator as a mesh-free solver of non-linear partial differential equations
Wei Xiong, Xiaomeng Huang, Ziyang Zhang +3
The lacking of analytic solutions of diverse partial differential equations (PDEs) gives birth to a series of computational techniques for numerical solutions. Although numerous la…
math.AP2022
Sign-changing bubble tower solutions for a Paneitz-type problem
Wenjing Chen, Xiaomeng Huang
This paper is concerned with the following biharmonic problem \begin{equation}\label{ineq} \begin{cases} Δ^2 u=|u|^{\frac{8}{N-4}}u &\text{ in } \ Ω\backslash \overline{B(ξ_0,\vare…