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The fundamental solution of the fractional p-laplacian

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-laplac...

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Main Author: Del Pezzo, Leandro (author)
Other Authors: Quaas, Alexander (author)
Format: article
Language:English
Published: 2026
Subjects:
Fundamental solution
Fractional p-laplacian
Louville type results
Ciencias Naturales y Exactas
Matemáticas
Online Access:https://hdl.handle.net/20.500.12381/5567
https://doi.org/10.1007/s00030-026-01202-6
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Summary: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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