Resumen de A regularity result for p-harmonic equations with measure data

Menita Carozza, Antonia Passarelli di Napoli

• We examine the $p$-harmonic equation div $\vert\nabla u\vert^{p-2}\nabla u=\mu$ 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 an higher integrability result.