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.

引用

页数：15

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