A characterization of capillary spherical caps by a partially overdetermined problem in a half ball
Xiaohan Jia, Zheng Lu, Chao Xia, Xuwen Zhang · Proceedings of the American Mathematical Society · 2024
In this paper, we study a Serrin-type partially overdetermined problem proposed by Guo-Xia [Calc. Var. Partial Differential Equations 58 (2019), Paper No. 160, 15], and prove a rigidity result that characterizes capillary spherical caps in a half ball.