ALEXANDROV'S THEOREM REVISITED

被引：29
|
作者：
Delgadino, Matias Gonzalo [1 ]
Maggi, Francesco [2 ]
机构：
[1] Imperial Coll London, Dept Math, South Kensington Campus, London, England
[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
来源：
ANALYSIS & PDE | 2019年 / 12卷 / 06期
基金：
英国工程与自然科学研究理事会;
关键词：
constant mean curvature; geometric measure theory; isoperimetric problem; sets of finite perimeter; varifolds; mean curvature flow;
D O I：
10.2140/apde.2019.12.1613
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that among sets of finite perimeter balls are the only volume-constrained critical points of the perimeter functional.
引用
收藏
页码：1613 / 1642
页数：30
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