A partially overdetermined problem in a half ball

被引：12
|
作者：
Guo, Jinyu [1 ]
Xia, Chao [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 58卷 / 05期
关键词：
BOUNDARY-VALUE-PROBLEMS; STABILITY; SYMMETRY; SURFACES;
D O I：
10.1007/s00526-019-1603-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a partially overdetermined mixed boundary value problem in a half ball. We prove that a domain on which this partially overdetermined problem admits a solution if and only if the domain is a spherical cap intersecting Sn-1 orthogonally. As an application, we show that a stationary point for a partially torsional rigidity under a volume constraint must be a spherical cap.
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页数：15
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