Calculus of Variations and Geometric Measure Theory
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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 04 Jul 2020


Published Paper

Inserted: 27 aug 2019
Last Updated: 4 jul 2020

Journal: Arch. Ration. Mech. Anal.
Year: 2019

ArXiv: 1908.09795 PDF


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.


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