Chao Xia

collaborators

2 papers

math.DG2024

Monotonicity Formulas for Capillary Surfaces

Guofang Wang, Chao Xia, Xuwen Zhang

In this paper, we establish monotonicity formulas for capillary surfaces in the half-space $R_{+}^{3}$ and in the unit ball $B^{3}$ and extend the result of Volkmann (C…

math.DG2024

Willmore-type inequality in unbounded convex sets

Xiaohan Jia, Guofang Wang, Chao Xia +1

In this paper we prove the following Willmore-type inequality: On an unbounded closed convex set $K \subset R^{n + 1}$ $(n \geq 2)$ , for any embedded hypersurface $Σ \subset K$ w…