The weighted Sobolev and mean value inequalities

de Medeiros, Adriano

doi:10.1090/S0002-9939-2014-12337-9

The weighted Sobolev and mean value inequalities
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by Adriano Alves de Medeiros

Proc. Amer. Math. Soc. 143 (2015), 1229-1239

DOI: https://doi.org/10.1090/S0002-9939-2014-12337-9

Published electronically: November 24, 2014

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Abstract:

In this paper we prove a Michael-Simon inequality in the weighted setting and using this inequality we obtain a diameter control depending of the $f$-mean curvature, which is based in the work of Topping.

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