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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