The isoperimetric problem for nonlocal perimeters
Analysis of PDEs
2017-09-05 v2
Abstract
We consider a class of nonlocal generalized perimeters which includes fractional perimeters and Riesz type potentials. We prove a general isoperimetric inequality for such functionals, and we discuss some applications. In particular we prove existence of an isoperimetric profile, under suitable assumptions on the interaction kernel.
Cite
@article{arxiv.1707.06504,
title = {The isoperimetric problem for nonlocal perimeters},
author = {Annalisa Cesaroni and Matteo Novaga},
journal= {arXiv preprint arXiv:1707.06504},
year = {2017}
}
Comments
17 pp