## Solving the p-Laplacian on manifolds

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 -> R with compact support.

Published in:
Proceedings of the American Mathematical Society, 128, 2, 541--545
Year:
2000
Keywords:
Laboratories: