A quantitative isoperimetric inequality for fractional perimeters
Analysis of PDEs
2011-02-14 v2 Functional Analysis
Abstract
Recently Frank and Seiringer have shown an isoperimetric inequality for nonlocal perimeter functionals arising from Sobolev seminorms of fractional order. This isoperimetric inequality is improved here in a quantitative form.
Cite
@article{arxiv.1012.0051,
title = {A quantitative isoperimetric inequality for fractional perimeters},
author = {Nicola Fusco and Vincent Millot and Massimiliano Morini},
journal= {arXiv preprint arXiv:1012.0051},
year = {2011}
}