Nonlinear nonhomogeneous logistic equations of superdiffusive type

Detalhes bibliográficos
Autor(a) principal: Aizicovici, Sergiu
Data de Publicação: 2022
Outros Autores: Papageorgiou, Nikolaos, Staicu, Vasile
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/35309
Resumo: We consider a nonlinear logistic equation of superdiffusive type driven by a nonhomogeneous differential operator and a Robin boundary condition. We prove a multiplicity result for positive solutions which is global with respect to the parameter λ > 0 (bifurcation-type theorem). We also demonstrate the existence of a minimal positive solution uλ and determine the monotonicity and continuity properties of the minimal solution map λ → uλ.
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spelling Nonlinear nonhomogeneous logistic equations of superdiffusive typeMinimal positive solutionNonhomogeneous differential operatorNonlinear regularity the oryNonlinear maximum principleSuperdiffusive reactionWe consider a nonlinear logistic equation of superdiffusive type driven by a nonhomogeneous differential operator and a Robin boundary condition. We prove a multiplicity result for positive solutions which is global with respect to the parameter λ > 0 (bifurcation-type theorem). We also demonstrate the existence of a minimal positive solution uλ and determine the monotonicity and continuity properties of the minimal solution map λ → uλ.Biemdas Academic Publishers2022-11-25T15:02:16Z2022-08-16T00:00:00Z2022-08-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35309eng2562-777510.23952/asvao.4.2022.3.03Aizicovici, SergiuPapageorgiou, NikolaosStaicu, Vasileinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:07:57Zoai:ria.ua.pt:10773/35309Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:06:20.974509Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Nonlinear nonhomogeneous logistic equations of superdiffusive type
title Nonlinear nonhomogeneous logistic equations of superdiffusive type
spellingShingle Nonlinear nonhomogeneous logistic equations of superdiffusive type
Aizicovici, Sergiu
Minimal positive solution
Nonhomogeneous differential operator
Nonlinear regularity the ory
Nonlinear maximum principle
Superdiffusive reaction
title_short Nonlinear nonhomogeneous logistic equations of superdiffusive type
title_full Nonlinear nonhomogeneous logistic equations of superdiffusive type
title_fullStr Nonlinear nonhomogeneous logistic equations of superdiffusive type
title_full_unstemmed Nonlinear nonhomogeneous logistic equations of superdiffusive type
title_sort Nonlinear nonhomogeneous logistic equations of superdiffusive type
author Aizicovici, Sergiu
author_facet Aizicovici, Sergiu
Papageorgiou, Nikolaos
Staicu, Vasile
author_role author
author2 Papageorgiou, Nikolaos
Staicu, Vasile
author2_role author
author
dc.contributor.author.fl_str_mv Aizicovici, Sergiu
Papageorgiou, Nikolaos
Staicu, Vasile
dc.subject.por.fl_str_mv Minimal positive solution
Nonhomogeneous differential operator
Nonlinear regularity the ory
Nonlinear maximum principle
Superdiffusive reaction
topic Minimal positive solution
Nonhomogeneous differential operator
Nonlinear regularity the ory
Nonlinear maximum principle
Superdiffusive reaction
description We consider a nonlinear logistic equation of superdiffusive type driven by a nonhomogeneous differential operator and a Robin boundary condition. We prove a multiplicity result for positive solutions which is global with respect to the parameter λ > 0 (bifurcation-type theorem). We also demonstrate the existence of a minimal positive solution uλ and determine the monotonicity and continuity properties of the minimal solution map λ → uλ.
publishDate 2022
dc.date.none.fl_str_mv 2022-11-25T15:02:16Z
2022-08-16T00:00:00Z
2022-08-16
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/35309
url http://hdl.handle.net/10773/35309
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2562-7775
10.23952/asvao.4.2022.3.03
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Biemdas Academic Publishers
publisher.none.fl_str_mv Biemdas Academic Publishers
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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