Calculus of Variations and Geometric Measure Theory

N. Fusco - V. Millot - M. Morini

A quantitative isoperimetric inequality for fractional perimeters

created by morini on 01 Dec 2010
modified on 02 Dec 2010


Submitted Paper

Inserted: 1 dec 2010
Last Updated: 2 dec 2010

Year: 2010


Recently Frank & 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.