Calculus of Variations and Geometric Measure Theory

P. Baroni

On the relation between generalized Morrey spaces and measure data problems

created by baroni on 22 Jun 2018
modified on 11 Mar 2025

[BibTeX]

Published Paper

Inserted: 22 jun 2018
Last Updated: 11 mar 2025

Journal: Nonlinear Analysis
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.


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