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arXiv:1111.4866 [math.MG]AbstractReferencesReviewsResources

A strong form of the Quantitative Isoperimetric inequality

Nicola Fusco, Vesa Julin

Published 2011-11-21Version 1

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.

Categories: math.MG
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