A quantitative isoperimetric inequality for fractional perimeters

Nicola Fusco; Vincent Millot; Massimiliano Morini

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arXiv · 1012.0051

A quantitative isoperimetric inequality for fractional perimeters

Nicola Fusco·Vincent Millot·Massimiliano Morini

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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.

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Nicola Fusco, Vincent Millot, Massimiliano Morini. 2010-11-30. A quantitative isoperimetric inequality for fractional perimeters. https://arxiv.org/abs/1012.0051

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