Abstract
We show that among sets of finite perimeter balls are the only volume-constrained critical points of the perimeter functional.
Citation
Matias Gonzalo Delgadino. Francesco Maggi. "Alexandrov's theorem revisited." Anal. PDE 12 (6) 1613 - 1642, 2019. https://doi.org/10.2140/apde.2019.12.1613
Information
Received: 29 May 2018; Revised: 1 October 2018; Accepted: 20 November 2018; Published: 2019
First available in Project Euclid: 12 March 2019
zbMATH: 07061135
MathSciNet: MR3921314
Digital Object Identifier: 10.2140/apde.2019.12.1613
Subjects:
Primary:
35J93
,
49Q15
,
49Q20
,
53C21
,
53C45
Keywords:
constant mean curvature
,
geometric measure theory
,
isoperimetric problem
,
Mean curvature flow
,
sets of finite perimeter
,
varifolds
Rights: Copyright © 2019 Mathematical Sciences Publishers
