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

Xiaohan Jia, Zheng Lu,Chao Xia,Xuwen Zhang

arxiv（2023）

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摘要

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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