Publication

Solving the p-Laplacian on manifolds

Marc Troyanov
2000
Journal paper

Abstract

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.

Official source

https://infoscience.epfl.ch/record/128622?ln=en

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Marc Troyanov
2000
Journal paper

Abstract

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.