SOAP BUBBLES IN R(2) AND IN SURFACES

被引：48

作者：

MORGAN, F

机构：

[1] Williams College, Williamstown, MA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1994年 / 165卷 / 02期

关键词：

D O I：

10.2140/pjm.1994.165.347

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove existence and regularity for ''soap bubbles'' in R2 and in surfaces, i.e., the least-perimeter way to enclose and separate regions of prescribed area. They consist of constant-curvature arcs meeting in threes at 120 degrees. If one prescribes the combinatorial type too, then the arcs may bump up against each other.

引用

页码：347 / 361

页数：15

共 18 条

[1] FIRST VARIATION OF A VARIFOLD [J].