Isoperimetric problems for a nonlocal perimeter of Minkowski type

Annalisa Cesaroni, and Matteo Novaga. "Isoperimetric problems for a nonlocal perimeter of Minkowski type." Geometric Flows 2.1 (2017): null. <http://eudml.org/doc/288459>.

@article{AnnalisaCesaroni2017,
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.},
author = {Annalisa Cesaroni, Matteo Novaga},
journal = {Geometric Flows},
keywords = {Nonlocal perimeter; Minkowski content; quantitative isoperimetric inequality; Brunn-Minkowski inequality; nonlocal variational problem},
language = {eng},
number = {1},
pages = {null},
title = {Isoperimetric problems for a nonlocal perimeter of Minkowski type},
url = {http://eudml.org/doc/288459},
volume = {2},
year = {2017},
}

TY - JOUR
AU - Annalisa Cesaroni
AU - Matteo Novaga
TI - Isoperimetric problems for a nonlocal perimeter of Minkowski type
JO - Geometric Flows
PY - 2017
VL - 2
IS - 1
SP - null
AB - 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.
LA - eng
KW - Nonlocal perimeter; Minkowski content; quantitative isoperimetric inequality; Brunn-Minkowski inequality; nonlocal variational problem
UR - http://eudml.org/doc/288459
ER -