5 citations · 10 across the 6 of their papers we have counts for
6 papers
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 and in the unit ball and extend the result of Volkmann (C…
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 , for any embedded hypersurface w…
Rigidity and quantitative stability for partially overdetermined problems and capillary CMC hypersurfaces
Xiaohan Jia, Zheng Lu, Chao Xia +1
In this paper, we first prove a rigidity result for a Serrin-type partially overdetermined problem in the half-space, which gives a characterization of capillary spherical caps by…
Heintze-Karcher inequality for anisotropic free boundary hypersurfaces in convex domains
Xiaohan Jia, Guofang Wang, Chao Xia +1
In this paper, we prove an optimal Heintze-Karcher-type inequality for anisotropic free boundary hypersurfaces in general convex domains. The equality is achieved for anisotropic f…
A characterization of capillary spherical caps by a partially overdetermined problem in a half ball
Xiaohan Jia, Zheng Lu, Chao Xia +1
In this note, we study a Serrin-type partially overdetermined problem proposed by Guo-Xia (Calc. Var. Partial Differential Equations 58: no. 160, 2019. https://doi.org/10.1007/s005…
Stable -th capillary hypersurfaces
Jinyu Guo, Haizhong Li, Chao Xia
In this paper, we propose a new definition of stable -th capillary hypersurfaces from variational perspective for any . More precisely, we define stable $(r…