Isoperimetric problems for a nonlocal perimeter of Minkowski type

• Autorzy: Annalisa Cesaroni , Matteo Novaga
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Nonlocal perimeter; Minkowski content; quantitative isoperimetric inequality; Brunn-Minkowski inequality; nonlocal variational problem

• Wydawca: De Gruyter Open
• Czasopismo: Geometric Flows
• Rocznik: 2017
• Tom: 2
• Numer: 1

Daty

wydano

2017-11-27

otrzymano

2017-09-15

zaakceptowano

2017-10-26

online

2017-11-30

Twórcy

autor

Annalisa Cesaroni

• ,

autor

Matteo Novaga

• ,

Identyfikatory

DOI

10.1515/geofl-2017-0003