Changwei Xiong

activity

20132023

most citedHypersurfaces with constant anisotropic mean curvatures

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

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…

math.DG2018

Gradient estimates via two-point functions for elliptic equations on manifolds

Ben Andrews, Changwei Xiong

We derive estimates relating the values of a solution at any two points to the distance between the points, for quasilinear isotropic elliptic equations on compact Riemannian manif…

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

Gradient estimates via two-point functions for elliptic equations on manifolds

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