On the relation between generalized Morrey spaces and measure data problems

created by baroni on 22 Jun 2018

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Submitted Paper

Inserted: 22 jun 2018
Last Updated: 22 jun 2018

Year: 2018

Abstract:

We consider measure data problems of $p$-Laplacian type. The measure on the right-hand side has the property that the total variation of a generic ball decays in terms of generic functions of the radius; we show that this condition has a natural relation with gradient integrability properties and we get, as corollary, borderline cases of classic results.