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arxiv: 1012.0051 · v2 · pith:ITJEIPZHnew · submitted 2010-11-30 · 🧮 math.AP · math.FA

A quantitative isoperimetric inequality for fractional perimeters

classification 🧮 math.AP math.FA
keywords inequalityisoperimetricfractionalquantitativearisingformfrankfunctionals
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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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