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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Detalles Bibliográficos
Autores: Del Pezzo, Leandro, Quaas, Alexander
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2026
País:Uruguay
Institución:Agencia Nacional de Investigación e Innovación
Repositorio:REDI
Idioma:inglés
OAI Identifier:oai:redi.anii.org.uy:20.500.12381/5567
Acceso en línea:https://hdl.handle.net/20.500.12381/5567
https://doi.org/10.1007/s00030-026-01202-6
Access Level:acceso abierto
Palabra clave:Fundamental solution
Fractional p-laplacian
Louville type results
Ciencias Naturales y Exactas
Matemáticas
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dc.title.none.fl_str_mv The fundamental solution of the fractional p-laplacian
title The fundamental solution of the fractional p-laplacian
spellingShingle The fundamental solution of the fractional p-laplacian
Del Pezzo, Leandro
Fundamental solution
Fractional p-laplacian
Louville type results
Ciencias Naturales y Exactas
Matemáticas
title_short The fundamental solution of the fractional p-laplacian
title_full The fundamental solution of the fractional p-laplacian
title_fullStr The fundamental solution of the fractional p-laplacian
title_full_unstemmed The fundamental solution of the fractional p-laplacian
title_sort The fundamental solution of the fractional p-laplacian
dc.creator.none.fl_str_mv Del Pezzo, Leandro
Quaas, Alexander
author Del Pezzo, Leandro
author_facet Del Pezzo, Leandro
Quaas, Alexander
author_role author
author2 Quaas, Alexander
author2_role author
dc.subject.es.fl_str_mv Fundamental solution
Fractional p-laplacian
Louville type results
topic Fundamental solution
Fractional p-laplacian
Louville type results
Ciencias Naturales y Exactas
Matemáticas
dc.subject.anii.none.fl_str_mv Ciencias Naturales y Exactas
Matemáticas
description 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.
publishDate 2026
dc.date.accessioned.none.fl_str_mv 2026-06-08T13:54:39Z
dc.date.available.none.fl_str_mv 2026-06-08T13:54:39Z
dc.date.issued.none.fl_str_mv 2026-04-04
dc.type.es.fl_str_mv Artículo
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.version.es.fl_str_mv Enviado
dc.type.version.none.fl_str_mv info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12381/5567
dc.identifier.anii.es.fl_str_mv FCE_3_2024_1_181302
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1007/s00030-026-01202-6
url https://hdl.handle.net/20.500.12381/5567
https://doi.org/10.1007/s00030-026-01202-6
identifier_str_mv FCE_3_2024_1_181302
dc.language.iso.none.fl_str_mv eng
language eng
dc.rights.*.fl_str_mv Acceso abierto
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.license.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional. (CC BY-NC-SA)
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional. (CC BY-NC-SA)
Acceso abierto
eu_rights_str_mv openAccess
dc.publisher.es.fl_str_mv Springer
dc.source.es.fl_str_mv Nonlinear Differential Equations and Applications NoDEA
dc.source.none.fl_str_mv reponame:REDI
instname:Agencia Nacional de Investigación e Innovación
instacron:Agencia Nacional de Investigación e Innovación
instname_str Agencia Nacional de Investigación e Innovación
instacron_str Agencia Nacional de Investigación e Innovación
institution Agencia Nacional de Investigación e Innovación
reponame_str REDI
collection REDI
bitstream.url.fl_str_mv https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5567/2/license.txt
https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5567/1/Fundamental250519.pdf
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bitstream.checksumAlgorithm.fl_str_mv MD5
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repository.name.fl_str_mv REDI - Agencia Nacional de Investigación e Innovación
repository.mail.fl_str_mv jmaldini@anii.org.uy
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spelling Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional. (CC BY-NC-SA)Acceso abiertoinfo:eu-repo/semantics/openAccess2026-06-08T13:54:39Z2026-06-08T13:54:39Z2026-04-04https://hdl.handle.net/20.500.12381/5567FCE_3_2024_1_181302https://doi.org/10.1007/s00030-026-01202-6In 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.Agencia Nacional de Investigación e InnovaciónengSpringerNonlinear Differential Equations and Applications NoDEAreponame:REDIinstname:Agencia Nacional de Investigación e Innovacióninstacron:Agencia Nacional de Investigación e InnovaciónFundamental solutionFractional p-laplacianLouville type resultsCiencias Naturales y ExactasMatemáticasThe fundamental solution of the fractional p-laplacianArtículoEnviadoinfo:eu-repo/semantics/submittedVersioninfo:eu-repo/semantics/articleUniversidad de la República. Facultad de Ciencias Económicas y de Administración//Ciencias Naturales y Exactas/Matemáticas/MatemáticasDel Pezzo, LeandroQuaas, AlexanderLICENSElicense.txtlicense.txttext/plain; charset=utf-84967https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5567/2/license.txta4ce09f01b5dd771727aa05c73851623MD52ORIGINALFundamental250519.pdfFundamental250519.pdfPreprintapplication/pdf421750https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5567/1/Fundamental250519.pdf7a77104a719ed6523ed7cdb9233e4a90MD5120.500.12381/55672026-06-08 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