A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians

This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional pn-Laplacian when pn→ ∞ as a particular case, toug...

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Detalles Bibliográficos
Autores: Fernández Bonder, Julián, Pérez Pérez, María Teresa, Salort, Ariel Martín
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:dnet:idus________::14e6d0c9dd436261130636a6222271fd
Acceso en línea:https://hdl.handle.net/11441/185214
http://dx.doi.org/10.1007/s13163-021-00390-2
Access Level:acceso abierto
Palabra clave:Fractional order Sobolev spaces
Orlicz-Sobolev spaces
fractional g-laplace operator
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spelling A Hölder infinity Laplacian obtained as limit of Orlicz fractional LaplaciansFernández Bonder, JuliánPérez Pérez, María TeresaSalort, Ariel MartínFractional order Sobolev spacesOrlicz-Sobolev spacesfractional g-laplace operatorThis paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional pn-Laplacian when pn→ ∞ as a particular case, tough it could be extended to a function of the Hölder quotient of order s, whose primitive is an Orlicz function satisfying appropriated growth conditions. The limit equation involves the Hölder infinity Laplacian.SpringerEcuaciones Diferenciales y Análisis NuméricoFQM131: Ecuaciones diferenciales, Simulación Num. y Desarrollo Software2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/185214http://dx.doi.org/10.1007/s13163-021-00390-2reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésRevista Matematica Complutense, 35 (2), 447-483. info:eu-repo/semantics/openAccessoai:dnet:idus________::14e6d0c9dd436261130636a6222271fd2026-06-17T12:51:07Z
dc.title.none.fl_str_mv A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
title A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
spellingShingle A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
Fernández Bonder, Julián
Fractional order Sobolev spaces
Orlicz-Sobolev spaces
fractional g-laplace operator
title_short A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
title_full A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
title_fullStr A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
title_full_unstemmed A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
title_sort A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
dc.creator.none.fl_str_mv Fernández Bonder, Julián
Pérez Pérez, María Teresa
Salort, Ariel Martín
author Fernández Bonder, Julián
author_facet Fernández Bonder, Julián
Pérez Pérez, María Teresa
Salort, Ariel Martín
author_role author
author2 Pérez Pérez, María Teresa
Salort, Ariel Martín
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ecuaciones diferenciales, Simulación Num. y Desarrollo Software
dc.subject.none.fl_str_mv Fractional order Sobolev spaces
Orlicz-Sobolev spaces
fractional g-laplace operator
topic Fractional order Sobolev spaces
Orlicz-Sobolev spaces
fractional g-laplace operator
description This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional pn-Laplacian when pn→ ∞ as a particular case, tough it could be extended to a function of the Hölder quotient of order s, whose primitive is an Orlicz function satisfying appropriated growth conditions. The limit equation involves the Hölder infinity Laplacian.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/185214
http://dx.doi.org/10.1007/s13163-021-00390-2
url https://hdl.handle.net/11441/185214
http://dx.doi.org/10.1007/s13163-021-00390-2
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Revista Matematica Complutense, 35 (2), 447-483.
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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