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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Detalhes bibliográficos
Autores: Del Pezzo, Leandro, Quaas, Alexander
Tipo de documento: artigo
Estado:Versión enviada para evaluación y publicación
Data de publicação:2026
País:Uruguay
Recursos:Agencia Nacional de Investigación e Innovación
Repositório:REDI
Idioma:inglês
OAI Identifier:oai:redi.anii.org.uy:20.500.12381/5567
Acesso em linha:https://hdl.handle.net/20.500.12381/5567
https://doi.org/10.1007/s00030-026-01202-6
Access Level:Acceso aberto
Palavra-chave:Fundamental solution
Fractional p-laplacian
Louville type results
Ciencias Naturales y Exactas
Matemáticas
Descrição
Resumo: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.