We prove in this paper that the equation $\Delta _{p}u+h=0$ on a $p$- hyperbolic manifold $M$ has a solution with $p$-integrable gradient for any bounded measurable function $h : M \to \mathbb R$ with compact support.
Titre
Solving the $p$-Laplacian on manifolds
Publié dans
Proceedings of the American Mathematical Society
Volume
128
Numéro
2
Pages
541-545
Date
2000
Note
1991 Mathematics Subject Classification : Primary 31C15, 31C12, 31C45; Secondary 53C20
Date de création de la notice
2007-12-17
