3 papers
math.AP2026
Monotonicity of the first nonzero Steklov eigenvalue of regular -gon with fixed perimeter
Zhuo Cheng, Changfeng Gui, Yeyao Hu +2
We study the first nontrivial Steklov eigenvalue of perimeter-normalized regular \(N\)-gons and show that it is strictly increasing in \(N\). The proof mainly relies on an analytic…
math.AP2026
Nonlinear Neumann boundary problems for -Laplacian Liouville equation on a half space
Wei Dai, Changfeng Gui, Yichen Hu +1
In this paper, for general , we classify solutions to -Laplacian Liouville equation with positive nonlinear Neumann boundary condition on the half-space $\mathbb{R}^{n}_…
math.AP2025
Non-radial solutions for the critical quasi-linear Hénon equation involving -Laplacian in
Wei Dai, Lixiu Duan, Changfeng Gui +1
In this paper, we investigate the following -critical quasi-linear Hénon equation involving -Laplacian \begin{equation*}\label{00} \left\{ \begin{aligned} &-Δ_p u=|x|^α…