Changwei Xiong

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20132025

most citedHypersurfaces with constant anisotropic mean curvatures

1 citations · 1 across the 5 of their papers we have counts for

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math.DG2025

Scaling inequalities for Steklov eigenvalues in space forms and sharp eigenvalue estimates on warped product manifolds

Zongyi Lv, Changwei Xiong, Yuxun Zou

In the first part, we derive monotonicity of the normalized spectra for the second-order Steklov problem and two fourth-order Steklov problems on the $2$ -dimensional geodesic disks…

math.DG2023

Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces

Haizhong Li, Ruixuan Li, Changwei Xiong

We derive various sharp upper bounds for the $p$ -capacity of a smooth compact set $K$ in the hyperbolic space $H^{n}$ and the Euclidean space $R^{n}$ . Firstly, using…

math.DG2021

Anisotropic curvature measures and volume preserving flows

Ben Andrews, Yitao Lei, Yong Wei +1

In the first part of this paper, we develop the theory of anisotropic curvature measures for convex bodies in the Euclidean space. It is proved that any convex body whose boundary…

math.DG2021

Sharp bounds for the anisotropic $p$ -capacity of Euclidean compact sets

Ruixuan Li, Changwei Xiong

We prove various sharp bounds for the anisotropic $p$ -capacity $Cap_{F, p} (K)$ ( $1 < p < n$ ) of compact sets $K$ in the Euclidean space $R^{n}$ ( $n \geq 3$ ). For example,…

math.DG2019

On the spectra of three Steklov eigenvalue problems on warped product manifolds

Changwei Xiong

Let $M^{n} = [0, R) \times S^{n - 1}$ be an $n$ -dimensional ( $n \geq 2$ ) smooth Riemannian manifold equipped with the warped product metric $g = d r^{2} + h^{2} (r) g_{S^{n - 1}}$ and…

math.DG2018

Homotopy type of manifolds with partially horoconvex boundary

Changwei Xiong

Let $M$ be an $n$ -dimensional compact connected manifold with boundary, $κ > 0$ a constant and $1 \leq q \leq n - 1$ an integer. We prove that $M$ supports a Riemannian metric with the i…

Scaling inequalities for Steklov eigenvalues in space forms and sharp eigenvalue estimates on warped product manifolds

Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces

Anisotropic curvature measures and volume preserving flows

Sharp bounds for the anisotropic p-capacity of Euclidean compact sets

On the spectra of three Steklov eigenvalue problems on warped product manifolds

Homotopy type of manifolds with partially horoconvex boundary

Sharp bounds for the anisotropic $p$ -capacity of Euclidean compact sets