Proof of the Double Bubble Conjecture

被引：111

作者：

Hutchings, M

Morgan, F

Ritoré, M

Ros, A

机构：

[1] Stanford Univ, Stanford, CA 94305 USA

[2] Williams Coll, Williamstown, MA 01267 USA

[3] Univ Granada, Granada, Spain

来源：

关键词：

D O I：

10.2307/3062123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the standard double bubble provides the least-area way to enclose and separate two regions of prescribed volume in R-3.

引用

页码：459 / 489

页数：31

共 37 条

[1] ALMGREN FJ, 1976, MEMOIRS AM MATH SOC, V165
[2] AMILIBIA AM, 2001, ASIAN J MATH, V5, P25
[3] [Anonymous], ELECTRON RES ANNOUNC
[4] BARBOSA L, 1988, MATH Z, V197, P123
[5] BAVARD C, 1986, ANN SCI ECOLE NORM S, V19, P479
[6] BOYS CV, 1959, SOAP BUBBLES
[7] COTTON A, UNPUB DOUBLE BUBBLE
[8] COURANT R, 1953, METHODS MATH PHYSICS, V1
[9] DELAUNAY C, 1941, J MATH PURE APPL, V16, P309
[10] THE SURFACES OF DELAUNAY
EELLS, J
[J]. MATHEMATICAL INTELLIGENCER, 1987, 9 (01) : 53 - 57