A strong form of the quantitative isoperimetric inequality |
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| Authors: | Nicola Fusco Vesa Julin |
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| Institution: | 1. Dipartimento di Matematica e Applicazioni “R. Cacciopoli”, Università degli Studi di Napoli “Federico II”, Naples, Italy
2. Department of Mathematics and Statistics, University of Jyv?skyl?, Jyv?skyl?, Finland
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| Abstract: | We give a refinement of the quantitative isoperimetric inequality. We prove that the isoperimetric gap controls not only the Fraenkel asymmetry but also the oscillation of the boundary. |
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