Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets
Analysis of PDEs
2020-10-28 v1 Differential Geometry
Abstract
Given an elliptic integrand of class , 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.
Keywords
Cite
@article{arxiv.1908.09795,
title = {Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets},
author = {Antonio De Rosa and Sławomir Kolasiński and Mario Santilli},
journal= {arXiv preprint arXiv:1908.09795},
year = {2020}
}