6533b833fe1ef96bd129b8e6
RESEARCH PRODUCT
A quantitative isoperimetric inequality for fractional perimeters
Vincent MillotMassimiliano MoriniNicola Fuscosubject
Pure mathematicsMathematics::Functional Analysis010102 general mathematicsFractional Sobolev spaces01 natural sciencesFunctional Analysis (math.FA)PerimeterSobolev spaceMathematics - Functional AnalysisQuantitative isoperimetric inequalityMathematics::Group TheoryMathematics - Analysis of PDEs0103 physical sciencesFractional perimeterFOS: MathematicsOrder (group theory)Mathematics::Metric Geometry010307 mathematical physicsMathematics::Differential Geometry0101 mathematicsIsoperimetric inequalityAnalysisMathematicsAnalysis of PDEs (math.AP)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-08-01 |