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20112026
most citedAbsence of topological insulator phases in non-Hermitian PT-symmetric Hamiltonians

263 citations · 354 across the 19 of their papers we have counts for

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math.AP2026

Rigidity of weak solutions for anisotropic N-Laplacian equation with Neumann or Robin boundary condition

Yuxia Guo, Yichen Hu, Shaolong Peng +1

This paper is devoted to the rigidity of weak solutions for anisotropic -Laplacian equations with Neumann or Robin boundary conditions on smooth bounded convex domains of $\math…

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

On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in with

Wei Dai, Yichen Hu, Shaolong Peng

Assume and . Recently, Piccione, Yang and Zhao \cite{Piccione-Yang-Zhao} established a nonlocal version of Struwe's decomposition in \cite{St…

math.AP2023

Double-tower Solutions for Higher Order Prescribed Curvature Problem

Yuan Gao, Yuxia Guo, Yichen Hu

We consider the following higher order prescribed curvature problem on \begin{equation*} D^m \tilde u=\widetilde{K}(y) \tilde u^{m^{*}-1} \quad \mbox{on} \ {\m…

math.AP2022★ 5 cited

Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation

Yuxia Guo, Yichen Hu, Shaolong Peng

In this paper, we consider the following elliptic system \begin{equation*} \begin{cases} -Δu = |v|^{p-1}v +ε(αu + β_1 v), &\hbox{ in }Ω, \\-Δv = |u|^{q-1}u+ε(β_2 u +αv), &\hbox{ in…