Some eigenvalue problems with non-local boundary conditions and applications

In this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the principal eigenvalue and its main properties. As consequence, we show the existence and uniqueness of positive solution of a nonlinear problem arising from population dynamics.

Detalles Bibliográficos
Autores: Reis Abreu, Rafael dos, Morales Rodrigo, Cristian, Suárez Fernández, Antonio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/40114
Acceso en línea:http://hdl.handle.net/11441/40114
https://doi.org/10.3934/cpaa.2014.13.2465
Access Level:acceso abierto
Palabra clave:Non-local boundary condition
eigenvalue problem
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spelling Some eigenvalue problems with non-local boundary conditions and applicationsReis Abreu, Rafael dosMorales Rodrigo, CristianSuárez Fernández, AntonioNon-local boundary conditioneigenvalue problemIn this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the principal eigenvalue and its main properties. As consequence, we show the existence and uniqueness of positive solution of a nonlinear problem arising from population dynamics.Ministerio de Economía y CompetitividadFondo Europeo de Desarrollo RegionalAmerican Institute of Mathematical SciencesEcuaciones Diferenciales y Análisis NuméricoMinisterio de Economía y Competitividad (MINECO). EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/40114https://doi.org/10.3934/cpaa.2014.13.2465reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)Inglésnullinfo:eu-repo/grantAgreement/MINECO/MTM2012-31304/info:eu-repo/semantics/openAccessoai:idus.us.es:11441/401142026-06-17T12:51:07Z
dc.title.none.fl_str_mv Some eigenvalue problems with non-local boundary conditions and applications
title Some eigenvalue problems with non-local boundary conditions and applications
spellingShingle Some eigenvalue problems with non-local boundary conditions and applications
Reis Abreu, Rafael dos
Non-local boundary condition
eigenvalue problem
title_short Some eigenvalue problems with non-local boundary conditions and applications
title_full Some eigenvalue problems with non-local boundary conditions and applications
title_fullStr Some eigenvalue problems with non-local boundary conditions and applications
title_full_unstemmed Some eigenvalue problems with non-local boundary conditions and applications
title_sort Some eigenvalue problems with non-local boundary conditions and applications
dc.creator.none.fl_str_mv Reis Abreu, Rafael dos
Morales Rodrigo, Cristian
Suárez Fernández, Antonio
author Reis Abreu, Rafael dos
author_facet Reis Abreu, Rafael dos
Morales Rodrigo, Cristian
Suárez Fernández, Antonio
author_role author
author2 Morales Rodrigo, Cristian
Suárez Fernández, Antonio
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
Ministerio de Economía y Competitividad (MINECO). España
European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
dc.subject.none.fl_str_mv Non-local boundary condition
eigenvalue problem
topic Non-local boundary condition
eigenvalue problem
description In this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the principal eigenvalue and its main properties. As consequence, we show the existence and uniqueness of positive solution of a nonlinear problem arising from population dynamics.
publishDate 2014
dc.date.none.fl_str_mv 2014
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 http://hdl.handle.net/11441/40114
https://doi.org/10.3934/cpaa.2014.13.2465
url http://hdl.handle.net/11441/40114
https://doi.org/10.3934/cpaa.2014.13.2465
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv null
info:eu-repo/grantAgreement/MINECO/MTM2012-31304/
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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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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score 15,300719

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