Positive solutions for slightly subcritical elliptic problems via Orlicz Spaces

This paper concerns semilinear elliptic equations involving sign-changing weight function and a nonlinearity of subcritical nature understood in a generalized sense. Using an Orlicz–Sobolev space setting, we consider superlinear nonlinearities which do not have a polynomial growth, and state suffici...

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Detalles Bibliográficos
Autores: Pardo San Gil, Rosa María, Cuesta, Mabel
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/89041
Acceso en línea:https://hdl.handle.net/20.500.14352/89041
Access Level:acceso abierto
Palabra clave:515.1
Positive solutions
Subcritical nonlinearity
Changing sign weight
Topología
1210 Topología
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oai_identifier_str oai:docta.ucm.es:20.500.14352/89041
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spelling Positive solutions for slightly subcritical elliptic problems via Orlicz SpacesPardo San Gil, Rosa MaríaCuesta, Mabel515.1Positive solutionsSubcritical nonlinearityChanging sign weightTopología1210 TopologíaThis paper concerns semilinear elliptic equations involving sign-changing weight function and a nonlinearity of subcritical nature understood in a generalized sense. Using an Orlicz–Sobolev space setting, we consider superlinear nonlinearities which do not have a polynomial growth, and state sufficient conditions guaranteeing the Palais–Smale condition. We study the existence of a bifurcated branch of classical positive solutions, containing a turning point, and providing multiplicity of solutions.SpringerUniversidad Complutense de Madrid20222022-04-2520222022-04-25journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/89041reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-103860GB-I00 ASPECTOS LINEALES Y NO LINEALES EN ECUACIONES EN DERIVADAS PARCIALES. DINAMICA ASINTOTICA Y PERTURBACIONESopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/890412026-06-02T12:44:21Z
dc.title.none.fl_str_mv Positive solutions for slightly subcritical elliptic problems via Orlicz Spaces
title Positive solutions for slightly subcritical elliptic problems via Orlicz Spaces
spellingShingle Positive solutions for slightly subcritical elliptic problems via Orlicz Spaces
Pardo San Gil, Rosa María
515.1
Positive solutions
Subcritical nonlinearity
Changing sign weight
Topología
1210 Topología
title_short Positive solutions for slightly subcritical elliptic problems via Orlicz Spaces
title_full Positive solutions for slightly subcritical elliptic problems via Orlicz Spaces
title_fullStr Positive solutions for slightly subcritical elliptic problems via Orlicz Spaces
title_full_unstemmed Positive solutions for slightly subcritical elliptic problems via Orlicz Spaces
title_sort Positive solutions for slightly subcritical elliptic problems via Orlicz Spaces
dc.creator.none.fl_str_mv Pardo San Gil, Rosa María
Cuesta, Mabel
author Pardo San Gil, Rosa María
author_facet Pardo San Gil, Rosa María
Cuesta, Mabel
author_role author
author2 Cuesta, Mabel
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 515.1
Positive solutions
Subcritical nonlinearity
Changing sign weight
Topología
1210 Topología
topic 515.1
Positive solutions
Subcritical nonlinearity
Changing sign weight
Topología
1210 Topología
description This paper concerns semilinear elliptic equations involving sign-changing weight function and a nonlinearity of subcritical nature understood in a generalized sense. Using an Orlicz–Sobolev space setting, we consider superlinear nonlinearities which do not have a polynomial growth, and state sufficient conditions guaranteeing the Palais–Smale condition. We study the existence of a bifurcated branch of classical positive solutions, containing a turning point, and providing multiplicity of solutions.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-04-25
2022
2022-04-25
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/89041
url https://hdl.handle.net/20.500.14352/89041
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-103860GB-I00 ASPECTOS LINEALES Y NO LINEALES EN ECUACIONES EN DERIVADAS PARCIALES. DINAMICA ASINTOTICA Y PERTURBACIONES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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