Pingxin Gu

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math.DG2026

Isodiametric-type upper bounds for Steklov eigenvalues

Pingxin Gu

In this paper, we establish isodiametric-type upper bounds for Steklov eigenvalues of bounded Lipschitz domains $Ω \subset R^{n}$ , $n \geq 2$ , valid for every $k\in \mathbb{N}…

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 $n \geq 4$ .…