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
PRATELLI, ALDO
2008-01-01
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.File in questo prodotto:
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