Rigidity and quantitative stability for partially overdetermined problems and capillary CMC hypersurfaces
Analysis of PDEs
2024-05-09 v1
Abstract
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 the overdetermined problem. In the second part, we prove quantitative stability results for the Serrin-type partially overdetermined problem, as well as capillary almost constant mean curvature hypersurfaces in the half-space.
Cite
@article{arxiv.2311.18585,
title = {Rigidity and quantitative stability for partially overdetermined problems and capillary CMC hypersurfaces},
author = {Xiaohan Jia and Zheng Lu and Chao Xia and Xuwen Zhang},
journal= {arXiv preprint arXiv:2311.18585},
year = {2024}
}