17 citations · 49 across the 10 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.AP2023★ 2 cited
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…
math.DG2023★ 5 cited
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…
math.AP2023★ 2 cited
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…