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
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 Record created 2008-10-14, last modified 2018-09-13

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