17 citations · 55 across the 20 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Stability of the Wulff shape with respect to anisotropic curvature functionals
Julian Scheuer, Xuwen Zhang
For a function which foliates a one-sided neighbourhood of a closed hypersurface , we give an estimate of the distance of to a Wulff shape in terms of the -norm o…
Alexandrov-type theorem for singular capillary CMC hypersurfaces in the half-space
Chao Xia, Xuwen Zhang
In this paper, we consider the classification problem for critical points of relative isoperimetric-type problem in the half-space. Under certain regularity assumption, we prove an…
Capillary Schwarz symmetrization in the half-space
Zheng Lu, Chao Xia, Xuwen Zhang
In this paper, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the frame…