# Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets

created by derosa on 27 Aug 2019

[BibTeX]

Submitted Paper

Inserted: 27 aug 2019
Last Updated: 27 aug 2019

Year: 2019

ArXiv: 1908.09795 PDF

Abstract:

Given an elliptic integrand of class $C^3$, we prove that finite unions of disjoint open Wulff shapes with equal radii are the only volume-constrained critical points of the anisotropic surface energy among all sets with finite perimeter and reduced boundary almost equal to its closure.