Yichen Hu

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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 $N$ -Laplacian equations with Neumann or Robin boundary conditions on smooth bounded convex domains of $\math…

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.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…

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

Nonlinear Neumann boundary problems for n-Laplacian Liouville equation on a half space

On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in Rn with n≥3

Nonlinear Neumann boundary problems for $n$ -Laplacian Liouville equation on a half space

On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in $R^{n}$ with $n \geq 3$