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Uniqueness of Critical Points of the Anisotropic Isoperimetric Problem for Finite Perimeter Sets

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dc.abstract.enGiven an elliptic integrand of class C^{2,α} , 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.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorSantilli, Mario
dc.contributor.authorKolasiński, Sławomir
dc.contributor.authorRosa, Antonio De
dc.date.accessioned2024-01-26T11:19:32Z
dc.date.available2024-01-26T11:19:32Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.number3
dc.description.volume238
dc.identifier.doi10.1007/S00205-020-01562-Y
dc.identifier.issn0003-9527
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/124214
dc.identifier.weblinkhttp://link.springer.com/content/pdf/10.1007/s00205-020-01562-y.pdf
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofArchive for Rational Mechanics and Analysis
dc.relation.pages1157 - 1198
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enWulff shape
dc.subject.enThe Alexandrov theorem
dc.subject.enMontiel-Ros argument
dc.subject.enHeintze-Karcher inequality
dc.subject.enfinite perimeter sets
dc.subject.enanisotropic integrands
dc.titleUniqueness of Critical Points of the Anisotropic Isoperimetric Problem for Finite Perimeter Sets
dc.typeJournalArticle
dspace.entity.typePublication