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.
On the relation between generalized Morrey spaces and measure data problems / Baroni, Paolo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 177:(2018), pp. 24-45. [10.1016/j.na.2018.06.011]
On the relation between generalized Morrey spaces and measure data problems
Baroni, Paolo
2018-01-01
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.File in questo prodotto:
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