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Quantitative Pólya-Szegö principle for convex symmetrization

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Abstract

We study Pólya-Szegö inequality involving convex symmetrization of functions and anisotropic Dirichlet integrals. A quantitative estimate of the deviation of a function u from its convex symmetral in terms of the gap between their Dirichlet integrals is given.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Via Ponte Don Melillo, 84084, Fisciano, SA, Italy

    Luca Esposito & Pasquale Ronca

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  1. Luca Esposito
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  2. Pasquale Ronca
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Correspondence to Luca Esposito.

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Esposito, L., Ronca, P. Quantitative Pólya-Szegö principle for convex symmetrization. manuscripta math. 130, 433–459 (2009). https://doi.org/10.1007/s00229-009-0297-9

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  • DOI: https://doi.org/10.1007/s00229-009-0297-9

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