17 citations · 49 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space
Xiaohan Jia, Xuwen Zhang
In this paper, we prove the quantitative version of the Alexandrov theorem for capillary hypersurfaces in the half-space, which generalizes Julin-Niinikoski's result to the capilla…
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…
Alexandrov's theorem for anisotropic capillary hypersurfaces in the half-space
Xiaohan Jia, Guofang Wang, Chao Xia +1
In this paper, we show that any embedded capillary hypersurface in the half-space with anisotropic constant mean curvature is a truncated Wulff shape. This extends Wente's result \…
Heintze-Karcher inequality and capillary hypersurfaces in a wedge
Xiaohan Jia, Guofang Wang, Chao Xia +1
In this paper, we utilize the method of Heintze-Karcher to prove a "best" version of Heintze-Karcher-type inequality for capillary hypersurfaces in the half-space or in a wedge. On…
A Heintze-Karcher type inequality for hypersurfaces with capillary boundary
Xiaohan Jia, Chao Xia, Xuwen Zhang
In this paper, we establish a Heintze-Karcher type inequality for hypersurfaces with capillary boundary of contact angle in a half space or a half ball, by usi…