The fundamental solution of the fractional p-laplacian
Analysis of PDEs
2025-05-29 v3
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.
Keywords
Cite
@article{arxiv.2307.07621,
title = {The fundamental solution of the fractional p-laplacian},
author = {Leandro M. Del Pezzo and Alexander Quaas},
journal= {arXiv preprint arXiv:2307.07621},
year = {2025}
}
Comments
28 pages