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

页码：1613 / 1642

页数：30

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