THE STANDARD DOUBLE SOAP BUBBLE IN R(2) UNIQUELY MINIMIZES PERIMETER

被引：81

作者：

FOISY, J

ALFARO, M

BROCK, J

HODGES, N

ZIMBA, J

机构：

[1] Williams College, Williamstown, MA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1993年 / 159卷 / 01期

关键词：

D O I：

10.2140/pjm.1993.159.47

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Of course the circle is the least-perimeter way to enclose a region of prescribed area in the plane. This paper proves that a certain standard ''double bubble'' is the least-perimeter way to enclose and separate two regions of prescribed areas. The solution for three regions remains conjectural.

引用

页码：47 / 59

页数：13