A regularity result for p-harmonic equations with measure data
- Autores: Menita Carozza, Antonia Passarelli di Napoli
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 55, Fasc. 1, 2004, págs. 11-20
- Idioma: inglés
- Enlaces
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Resumen
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.
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