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 / A., Cianchi; L., Esposito; Fusco, Nicola; Trombetti, Cristina. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - STAMPA. - 614:(2008), pp. 153-189. [10.1515/CRELLE.2008.005]
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.File in questo prodotto:
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