Calculus of Variations and Geometric Measure Theory

A. De Rosa - S. KolasiƄski - M. Santilli

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

created by derosa on 27 Aug 2019
modified on 11 Jan 2022


Published Paper

Inserted: 27 aug 2019
Last Updated: 11 jan 2022

Journal: Arch. Ration. Mech. Anal.
Year: 2020

ArXiv: 1908.09795 PDF


Given an elliptic integrand of class $C^{2,\alpha}$, 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.