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Self Improving Sobolev-Poincaré Inequalities, Truncation and Symmetrization

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Abstract

In Martín et al. (J Funct Anal 252:677–695, 2007) we developed a new method to obtain symmetrization inequalities of Sobolev type for functions in \(W_{0}^{1,1}(\Omega)\). In this paper we extend our method to Sobolev functions that do not vanish at the boundary.

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Correspondence to Mario Milman.

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Supported in part by MTM2007-60500 and by CURE 2005SGR00556.

This paper is in final form and no version of it will be submitted for publication elsewhere.

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Martin, J., Milman, M. Self Improving Sobolev-Poincaré Inequalities, Truncation and Symmetrization. Potential Anal 29, 391–408 (2008). https://doi.org/10.1007/s11118-008-9102-8

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  • DOI: https://doi.org/10.1007/s11118-008-9102-8

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