Pingxin Gu

activity

20232026

collaborators

4 papers

math.DG2026

Isodiametric-type upper bounds for Steklov eigenvalues

Pingxin Gu, Yao Wan

Let $n \geq 2$ . We establish isodiametric-type upper bounds for Steklov eigenvalues of bounded Lipschitz domains $Ω$ in Euclidean space $R^{n}$ and hyperbolic space $\mathbb{…

math.DG2026

Weinstock inequality in hyperbolic space II

Pingxin Gu, Haizhong Li, Yao Wan

In this paper, we establish the Weinstock inequality for the first non-zero Steklov eigenvalue on star-shaped mean convex domains in hyperbolic space $H^{n}$ for $n \geq 3$ .…

math.DG2024

Weinstock inequality in hyperbolic space

Pingxin Gu, Haizhong Li, Yao Wan

In this paper, we establish the Weinstock inequality for the first non-zero Steklov eigenvalue on star-shaped mean convex domains in hyperbolic space $H^{n}$ for $n \geq 4$ .…

math.AP2023

A proof of Guo-Wang's conjecture on the uniqueness of positive harmonic functions in the unit ball

Pingxin Gu, Haizhong Li

Guo-Wang [Calc.Var.Partial Differential Equations,59(2020)] conjectured that for $1 < q < \frac{n}{n - 2}$ and $0 < λ \leq \frac{1}{q - 1}$ , the positive solution $u \in C^{\infty} (B ˉ)$ to…