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arXiv · 2311.18581

A characterization of capillary spherical caps by a partially overdetermined problem in a half ball

Xiaohan Jia·Zheng Lu·Chao Xia·Xuwen Zhang
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Abstract

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/s00526-019-1603-3, and prove a rigidity result that characterizes capillary spherical caps in a half ball.

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Xiaohan Jia, Zheng Lu, Chao Xia, Xuwen Zhang. 2023-11-30. A characterization of capillary spherical caps by a partially overdetermined problem in a half ball. https://doi.org/10.1090/proc/17049

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