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 quantitative Polya Szego Principle

FUSCO, NICOLA;TROMBETTI, CRISTINA
2008

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/166890
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