Isoperimetric problems for a nonlocal perimeter of Minkowski type

Abstract: We show a quantitative version of the isoperimetric inequality for a non local perimeter of Minkowski type. We also apply this result to study isoperimetric problems with repulsive interaction terms, under volume and convexity constraints.We prove existence of minimizers, and we describe their shape as the volume tends to zero or to infinity.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Isoperimetric problems for a nonlocal perimeter of Minkowski type ; volume:2 ; number:1 ; year:2017 ; pages:86-93 ; extent:8
Geometric flows ; 2, Heft 1 (2017), 86-93 (gesamt 8)

Creator
Cesaroni, Annalisa
Novaga, Matteo

DOI
10.1515/geofl-2017-0003
URN
urn:nbn:de:101:1-2501051803234.369520809427
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:21 AM CEST

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Associated

  • Cesaroni, Annalisa
  • Novaga, Matteo

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