SOAP BUBBLES IN R(2) AND IN SURFACES

被引：47
|
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
收藏
页码：347 / 361
页数：15
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