53 citations · 372 across the 42 of their papers we have counts for
31 papers · 1 filter
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 constrained mean curvature flow and Alexandrov-Fenchel inequalities
Xinqun Mei, Guofang Wang, Liangjun Weng
In this article, we study a locally constrained mean curvature flow for star-shaped hypersurfaces with capillary boundary in the half-space. We prove its long-time existence and th…
Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary
Guofang Wang, Liangjun Weng, Chao Xia
In this paper, we first introduce quermassintegrals for capillary hypersurfaces in the half-space. Then we solve the related isoperimetric type problems for the convex capillary hy…
Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space
Jinyu Guo, Guofang Wang, Chao Xia
In this paper, we study a stability problem of free boundary hypersurfaces, and also capillary ones whose boundary supported on a horosphere in hyperbolic space. We prove that umbi…
A mean curvature type flow with capillary boundary in a unit ball
Guofang Wang, Liangjun Weng
In this paper, we study a mean curvature type flow with capillary boundary in the unit ball. Our flow preserves the volume of the bounded domain enclosed by the hypersurface, and m…