Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions

This paper deals with nonlinear elliptic problems where the diffusion coefficient is a degenerate non-local term. We show that this degeneration implies the growth of the complexity of the structure of the set of positive solutions of the equation. Specifically, when the reaction term is of logistic...

ver descrição completa

Detalhes bibliográficos
Autores: Delgado Delgado, Manuel, Morales Rodrigo, Cristian, Santos Júnior, J. R., Suárez Fernández, Antonio
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/180887
Acesso em linha:https://hdl.handle.net/11441/180887
https://doi.org/10.1515/ans-2019-2046
Access Level:acceso abierto
Palavra-chave:Non-local Diffusion
Degenerate Coefficient
Continuum of Positive Solutions
id ES_732f20e17e6117b7e7f700ea0ee75cfd
oai_identifier_str oai:idus.us.es:11441/180887
network_acronym_str ES
network_name_str España
repository_id_str
spelling Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive SolutionsDelgado Delgado, ManuelMorales Rodrigo, CristianSantos Júnior, J. R.Suárez Fernández, AntonioNon-local DiffusionDegenerate CoefficientContinuum of Positive SolutionsThis paper deals with nonlinear elliptic problems where the diffusion coefficient is a degenerate non-local term. We show that this degeneration implies the growth of the complexity of the structure of the set of positive solutions of the equation. Specifically, when the reaction term is of logistic type, the continuum of positive solutions breaks into two disjoint pieces. Our approach uses mainly fixed point arguments.De GruyterEcuaciones Diferenciales y Análisis Numérico2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/180887https://doi.org/10.1515/ans-2019-2046reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésAdvanced Nonlinear Studies, 20 (1), 19-30.10.1515/ans-2019-2046info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1808872026-06-17T12:51:07Z
dc.title.none.fl_str_mv Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions
title Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions
spellingShingle Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions
Delgado Delgado, Manuel
Non-local Diffusion
Degenerate Coefficient
Continuum of Positive Solutions
title_short Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions
title_full Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions
title_fullStr Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions
title_full_unstemmed Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions
title_sort Non-local Degenerate Diffusion Coefficients Break Down the Components of Positive Solutions
dc.creator.none.fl_str_mv Delgado Delgado, Manuel
Morales Rodrigo, Cristian
Santos Júnior, J. R.
Suárez Fernández, Antonio
author Delgado Delgado, Manuel
author_facet Delgado Delgado, Manuel
Morales Rodrigo, Cristian
Santos Júnior, J. R.
Suárez Fernández, Antonio
author_role author
author2 Morales Rodrigo, Cristian
Santos Júnior, J. R.
Suárez Fernández, Antonio
author2_role author
author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv Non-local Diffusion
Degenerate Coefficient
Continuum of Positive Solutions
topic Non-local Diffusion
Degenerate Coefficient
Continuum of Positive Solutions
description This paper deals with nonlinear elliptic problems where the diffusion coefficient is a degenerate non-local term. We show that this degeneration implies the growth of the complexity of the structure of the set of positive solutions of the equation. Specifically, when the reaction term is of logistic type, the continuum of positive solutions breaks into two disjoint pieces. Our approach uses mainly fixed point arguments.
publishDate 2019
dc.date.none.fl_str_mv 2019
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/11441/180887
https://doi.org/10.1515/ans-2019-2046
url https://hdl.handle.net/11441/180887
https://doi.org/10.1515/ans-2019-2046
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Advanced Nonlinear Studies, 20 (1), 19-30.
10.1515/ans-2019-2046
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 De Gruyter
publisher.none.fl_str_mv De Gruyter
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
_version_ 1869410790647267328
score 15,81155

Registos relacionados