17 citations · 55 across the 20 of their papers we have counts for
5 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…
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…
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…
-rectifiability and Heintze-Karcher inequality on
Xuwen Zhang
In this paper, by isometrically embedding into , and using nonlinear analysis on the codimension-2 graphs, we will show…