Some remarks on the comparison principle in Kirchhoff equations

In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results. We give an alternative sub-supersolution method and...

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Detalles Bibliográficos
Autores: Malcher Figueiredo, Giovany de Jesus, Suárez Fernández, Antonio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/76605
Acceso en línea:https://hdl.handle.net/11441/76605
https://doi.org/10.4171/rmi/997
Access Level:acceso abierto
Palabra clave:Kirchhoff equation
Comparison principle
Sub-supersolution method
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spelling Some remarks on the comparison principle in Kirchhoff equationsMalcher Figueiredo, Giovany de JesusSuárez Fernández, AntonioKirchhoff equationComparison principleSub-supersolution methodIn this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results. We give an alternative sub-supersolution method and apply it to some models.Conselho Nacional de Desenvolvimento Científico e TecnológicoMinisterio de Economía y CompetitividadEuropean Mathematical SocietyEcuaciones Diferenciales y Análisis NuméricoFQM131: Ec.diferenciales,Simulación Num.y Desarrollo SoftwareConselho Nacional de Desenvolvimento Científico e Tecnológico. BrasilMinisterio de Economía y Competitividad (MINECO). España2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/76605https://doi.org/10.4171/rmi/997reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésRevista Matemática Iberoamericana, 34 (2), 609-620.CNPQ-Proc. 400426/2013-7CNPQ-Proc. 301242/2011-9MTM2012-31304MTM2015-69875-Phttp://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=34&iss=2&rank=4info:eu-repo/semantics/openAccessoai:idus.us.es:11441/766052026-06-17T12:51:07Z
dc.title.none.fl_str_mv Some remarks on the comparison principle in Kirchhoff equations
title Some remarks on the comparison principle in Kirchhoff equations
spellingShingle Some remarks on the comparison principle in Kirchhoff equations
Malcher Figueiredo, Giovany de Jesus
Kirchhoff equation
Comparison principle
Sub-supersolution method
title_short Some remarks on the comparison principle in Kirchhoff equations
title_full Some remarks on the comparison principle in Kirchhoff equations
title_fullStr Some remarks on the comparison principle in Kirchhoff equations
title_full_unstemmed Some remarks on the comparison principle in Kirchhoff equations
title_sort Some remarks on the comparison principle in Kirchhoff equations
dc.creator.none.fl_str_mv Malcher Figueiredo, Giovany de Jesus
Suárez Fernández, Antonio
author Malcher Figueiredo, Giovany de Jesus
author_facet Malcher Figueiredo, Giovany de Jesus
Suárez Fernández, Antonio
author_role author
author2 Suárez Fernández, Antonio
author2_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software
Conselho Nacional de Desenvolvimento Científico e Tecnológico. Brasil
Ministerio de Economía y Competitividad (MINECO). España
dc.subject.none.fl_str_mv Kirchhoff equation
Comparison principle
Sub-supersolution method
topic Kirchhoff equation
Comparison principle
Sub-supersolution method
description In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results. We give an alternative sub-supersolution method and apply it to some models.
publishDate 2018
dc.date.none.fl_str_mv 2018
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/11441/76605
https://doi.org/10.4171/rmi/997
url https://hdl.handle.net/11441/76605
https://doi.org/10.4171/rmi/997
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Revista Matemática Iberoamericana, 34 (2), 609-620.
CNPQ-Proc. 400426/2013-7
CNPQ-Proc. 301242/2011-9
MTM2012-31304
MTM2015-69875-P
http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=34&iss=2&rank=4
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 European Mathematical Society
publisher.none.fl_str_mv European Mathematical Society
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 15,300724

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