A regularity result for p-harmonic equations with measure data.
Carozza, Menita ; Passarelli di Napoli, Antonia
Collectanea Mathematica, Tome 55 (2004), p. 11-19 / Harvested from Biblioteca Digital de Matemáticas
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We examine the p-harmonic equation div |grad u|(p-2). 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.

Publié le : 2004-01-01
DMLE-ID : 796 
@article{urn:eudml:doc:44325,
     title = {A regularity result for p-harmonic equations with measure data.},
     journal = {Collectanea Mathematica},
     volume = {55},
     year = {2004},
     pages = {11-19},
     zbl = {1148.35320},
     mrnumber = {MR2028177},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44325}
}

Carozza, Menita; Passarelli di Napoli, Antonia. A regularity result for p-harmonic equations with measure data.. Collectanea Mathematica, Tome 55 (2004) pp. 11-19. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44325/