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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| Other Authors: | |
| Format: | article |
| Language: | English |
| Published: |
2026
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| Online Access: | https://hdl.handle.net/20.500.12381/5567 https://doi.org/10.1007/s00030-026-01202-6 |
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| _version_ | 1868890221920124928 |
|---|---|
| author | Del Pezzo, Leandro |
| author2 | Quaas, Alexander |
| author2_role | author |
| author_browse | Del Pezzo, Leandro Quaas, Alexander |
| author_facet | Del Pezzo, Leandro Quaas, Alexander |
| author_role | author |
| collection | REDI |
| dc.creator.none.fl_str_mv | Del Pezzo, Leandro Quaas, Alexander |
| dc.date.none.fl_str_mv | 2026-06-08T13:54:39Z 2026-06-08T13:54:39Z 2026-04-04 |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/20.500.12381/5567 FCE_3_2024_1_181302 https://doi.org/10.1007/s00030-026-01202-6 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Springer |
| dc.rights.none.fl_str_mv | Acceso abierto info:eu-repo/semantics/openAccess Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional. (CC BY-NC-SA) |
| dc.source.none.fl_str_mv | Nonlinear Differential Equations and Applications NoDEA reponame:REDI instname:Agencia Nacional de Investigación e Innovación instacron:Agencia Nacional de Investigación e Innovación |
| dc.subject.none.fl_str_mv | Fundamental solution Fractional p-laplacian Louville type results Ciencias Naturales y Exactas Matemáticas |
| dc.title.none.fl_str_mv | The fundamental solution of the fractional p-laplacian |
| dc.type.none.fl_str_mv | Artículo info:eu-repo/semantics/article Enviado info:eu-repo/semantics/submittedVersion |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | anni_e8fa8784bd67d15403cd4dccff4b71f3 |
| identifier_str_mv | FCE_3_2024_1_181302 |
| instacron_str | Agencia Nacional de Investigación e Innovación |
| institution | Agencia Nacional de Investigación e Innovación |
| instname_str | Agencia Nacional de Investigación e Innovación |
| language | eng |
| network_acronym_str | anni |
| network_name_str | oai-lr-anni |
| oai_identifier_str | oai:redi.anii.org.uy:20.500.12381/5567 |
| publishDate | 2026 |
| publishDateSort | 2026 |
| publisher.none.fl_str_mv | Springer |
| reponame_str | REDI |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | Acceso abierto Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional. (CC BY-NC-SA) |
| spelling | The fundamental solution of the fractional p-laplacianDel Pezzo, LeandroQuaas, AlexanderFundamental solutionFractional p-laplacianLouville type resultsCiencias Naturales y ExactasMatemáticasIn 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 InnovaciónSpringer2026-06-08T13:54:39Z2026-06-08T13:54:39Z2026-04-04Artículoinfo:eu-repo/semantics/articleEnviadoinfo:eu-repo/semantics/submittedVersionhttps://hdl.handle.net/20.500.12381/5567FCE_3_2024_1_181302https://doi.org/10.1007/s00030-026-01202-6Nonlinear Differential Equations and Applications NoDEAreponame:REDIinstname:Agencia Nacional de Investigación e Innovacióninstacron:Agencia Nacional de Investigación e InnovaciónengAcceso abiertoinfo:eu-repo/semantics/openAccessReconocimiento-NoComercial-CompartirIgual 4.0 Internacional. (CC BY-NC-SA)oai:redi.anii.org.uy:20.500.12381/55672026-06-16T05:02:23Z |
| 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 |
| status_str | submittedVersion |
| title | 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_short | The fundamental solution of the fractional p-laplacian |
| title_sort | The fundamental solution of the fractional p-laplacian |
| topic | Fundamental solution Fractional p-laplacian Louville type results Ciencias Naturales y Exactas Matemáticas |
| url | https://hdl.handle.net/20.500.12381/5567 https://doi.org/10.1007/s00030-026-01202-6 |