17 citations · 49 across the 10 of their papers we have counts for
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math.DG2022★ 17 cited
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 \…
math.DG2022★ 15 cited
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…
math.DG2022★ 8 cited
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…