Overdetermined problems in annular domains with a spherical-boundary component in space forms

被引：1

作者：

Lee, Jihye ^{[1
]}

Seo, Keomkyo ^{[2
,3
]}

机构：

[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[2] Sookmyung Womens Univ, Dept Math, Cheongpa Ro 47 Gil 100, Seoul 04310, South Korea

[3] Sookmyung Womens Univ, Res Inst Nat Sci, Cheongpa Ro 47 Gil 100, Seoul 04310, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Overdetermined problem; Annular domain; Space form; SYMMETRY;

D O I：

10.1186/s13660-023-02956-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a Serrin-type symmetry of the solutions to various overdetermined boundary value problems in annular domains with a spherical-boundary component in space forms by using the maximum principle for suitable subharmonic functions and integral identities.

引用

页数：22

共 39 条

[1] Overdetermined problems in annular domains with a spherical-boundary component in space forms
Jihye Lee
Keomkyo Seo
Journal of Inequalities and Applications, 2023
[2] Overdetermined problems in annular domains
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PROGRESS IN ANALYSIS, VOLS I AND II, 2003, : 871 - 875
[3] A partially overdetermined problem in domains with partial umbilical boundary in space forms
Guo, Jinyu
Xia, Chao
ADVANCES IN CALCULUS OF VARIATIONS, 2024, 17 (01) : 11 - 31
[4] Overdetermined Boundary Value Problems, Quadrature Domains and Applications
Dmitry Khavinson
Alexander Yu. Solynin
Dimiter Vassilev
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[5] Overdetermined problems for fully nonlinear equations with constant Dirichlet boundary conditions in space forms
Gao, Shanze
Ma, Hui
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CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023, 62 (06)
[6] Overdetermined problems for fully nonlinear equations with constant Dirichlet boundary conditions in space forms
Shanze Gao
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Mingxuan Yang
Calculus of Variations and Partial Differential Equations, 2023, 62
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BOUNDARY VALUE PROBLEMS, 2014, : 11
[10] Radial symmetry of overdetermined boundary-value problems in exterior domains
Aftalion, A
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