The radially decreasing symmetrization is well known not to increase Dirichlet type integrals of Sobolev functions. In the present paper, the deviation of a function from its symmetral is estimated in terms of the gap between their Dirichlet integrals.
A quantitativePólya-Szegö principle
ESPOSITO, Luca;
2008-01-01
Abstract
The radially decreasing symmetrization is well known not to increase Dirichlet type integrals of Sobolev functions. In the present paper, the deviation of a function from its symmetral is estimated in terms of the gap between their Dirichlet integrals.File in questo prodotto:
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