Pingxin Gu

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20232026

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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 $n \geq 4$ .…