A quantitative isoperimetric inequality for fractional perimeters

Details A quantitative isoperimetric inequality for fractional perimeters A quantitative isoperimetric inequality for fractional perimeters

2010-11-30

arxiv.org/abs/1012.0051v2

Mathematics

Analysis of PDEs

Scientific paper

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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