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Bibliographic Details
Main Authors:	Jia, Xiaohan, Lu, Zheng, Xia, Chao, Zhang, Xuwen
Format:	Preprint
Published:	2023
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2311.18585
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Table of Contents:

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.