Displaying similar documents to “The p-harmonic system with measure-valued right hand side”

A regularity result for p-harmonic equations with measure data.

Menita Carozza, Antonia Passarelli di Napoli (2004)

Collectanea Mathematica

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We examine the p-harmonic equation div |grad u|. grad u = mu, where mu is a bounded Radon measure. We determine a range of p's for which solutions to the equation verify an a priori estimate. For such p's we also prove a higher integrability result.