17 citations · 49 across the 10 of their papers we have counts for
5 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 \…
Serrin-type overdetermined problems for Hessian quotient equations
Zhenghuan Gao, Xiaohan Jia, Dekai Zhang
We prove the symmetry of solutions to overdetermined problems for a class of fully nonlinear equations, namely Hessian quotient equations and Hessian quotient curvature equations.…
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…
Serrin-type Overdetermined problems in
Zhenghuan Gao, Xiaohan Jia, Jin Yan
In this paper, we prove the symmetry of the solution to overdetermined problem for the equation in hyperbolic space. Our approach is based on establishing a Re…