A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to a conjecture by Hall. The proof is obtained through a symmetrization procedure, which allows to reduce oneself to the case of n-symmetric sets. And this case is in fact a simple one-dimensional problem.

The sharp quantitative isoperimetric inequality

A. PRATELLI
2008

Abstract

A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to a conjecture by Hall. The proof is obtained through a symmetrization procedure, which allows to reduce oneself to the case of n-symmetric sets. And this case is in fact a simple one-dimensional problem.
N, Fusco; F, Maggi; Pratelli, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/1037776
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