Classification of the Solutions to an Overdetermined Elliptic Problem in the Plane

被引：36

作者：

Traizet, Martin ^{[1
]}

机构：

[1] Univ Tours, Lab Math & Phys Theor, F-37200 Tours, France

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2014年 / 24卷 / 02期

关键词：

HALF-SPACE THEOREM; MINIMAL-SURFACES; PLATEAU-PROBLEM; SYMMETRY; INFINITY;

D O I：

10.1007/s00039-014-0268-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the solutions to an overdetermined elliptic problem in the plane in the finite connectivity case. This is achieved by establishing a one-to-one correspondence between the solutions to this problem and a certain type of minimal surfaces.

引用

页码：690 / 720

页数：31

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