On the relation between generalized Morrey spaces and measure data problems.

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. [ABSTRACT FROM AUTHOR]