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research article
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 $h : M \to \mathbb R$ with compact support.
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Name
TroyanovProceedings of the American Mathematical Society2000.pdf
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openaccess
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175.5 KB
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Adobe PDF
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