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arXiv · 2307.07621

The fundamental solution of the fractional p-laplacian

Leandro M. Del Pezzo·Alexander Quaas
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Abstract

In this article, we find the fundamental solution of the fractional p-laplacian and use them to prove two different Liouville-type theorems. A non-existence classical Liouville-type theorem for p-superharmonic and a Louville type results for an Emden-Folder type equation with the fractional p-laplacian.

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Leandro M. Del Pezzo, Alexander Quaas. 2023-07-14. The fundamental solution of the fractional p-laplacian. https://arxiv.org/abs/2307.07621

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