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

Autor:	De Rosa, Antonio, Kolasiński, Sławomir, Santilli, Mario
Rok vydání:	2019
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry 49Q10 49Q20 53A10
Druh dokumentu:	Working Paper
DOI:	10.1007/s00205-020-01562-y
Popis:	Given an elliptic integrand of class $ \mathscr{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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.09795 Zobrazit plný text záznamu View this record from Arxiv