Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem

In this paper we deal with the existence of positive solutions for the following nonlocal type of problems {-Δu = α/(σωg(u)dx) p f(u) in Ω u>0 in Ω u=0 on ∂ Ω where Ω is a bounded smooth domain in ℝ N (N≥1), f,g are continuous positive functions, σ>0 and pεℝ. We give sufficient conditions on t...

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Detalles Bibliográficos
Autores: Arcoya, David, Primo, Ana, Leonori, Tommaso
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:inglés
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/24461
Acceso en línea:https://hdl.handle.net/20.500.14468/24461
Access Level:acceso abierto
Palabra clave:12 Matemáticas
Semilinear elliptic equations
nonlocal equations
Bifurcation methods
2010 Mathematics Subject Classification
35J61
35B32
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spelling Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theoremArcoya, DavidPrimo, AnaLeonori, Tommaso12 MatemáticasSemilinear elliptic equationsnonlocal equationsBifurcation methods2010 Mathematics Subject Classification35J6135B32In this paper we deal with the existence of positive solutions for the following nonlocal type of problems {-Δu = α/(σωg(u)dx) p f(u) in Ω u>0 in Ω u=0 on ∂ Ω where Ω is a bounded smooth domain in ℝ N (N≥1), f,g are continuous positive functions, σ>0 and pεℝ. We give sufficient conditions on the functions f and g in order to have existence of positive solutions.Springer-Verlaghttps://orcid.org/0000-0002-7284-2413https://orcid.org/0000-0002-0848-4463https://orcid.org/0000-0003-1804-3175e-Spacio UNED20242024-11-2120132013-10-0120132013-10-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14468/24461reponame:e-spacio. Repositorio Institucional de la UNEDinstname:Universidad Nacional de Educación a DistanciaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.esoai:e-spacio.uned.es:20.500.14468/244612026-06-06T12:38:31Z
dc.title.none.fl_str_mv Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
title Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
spellingShingle Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
Arcoya, David
12 Matemáticas
Semilinear elliptic equations
nonlocal equations
Bifurcation methods
2010 Mathematics Subject Classification
35J61
35B32
title_short Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
title_full Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
title_fullStr Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
title_full_unstemmed Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
title_sort Existence of solutions for semilinear nonlocal elliptic problems via a Bolzano theorem
dc.creator.none.fl_str_mv Arcoya, David
Primo, Ana
Leonori, Tommaso
author Arcoya, David
author_facet Arcoya, David
Primo, Ana
Leonori, Tommaso
author_role author
author2 Primo, Ana
Leonori, Tommaso
author2_role author
author
dc.contributor.none.fl_str_mv https://orcid.org/0000-0002-7284-2413
https://orcid.org/0000-0002-0848-4463
https://orcid.org/0000-0003-1804-3175
e-Spacio UNED
dc.subject.none.fl_str_mv 12 Matemáticas
Semilinear elliptic equations
nonlocal equations
Bifurcation methods
2010 Mathematics Subject Classification
35J61
35B32
topic 12 Matemáticas
Semilinear elliptic equations
nonlocal equations
Bifurcation methods
2010 Mathematics Subject Classification
35J61
35B32
description In this paper we deal with the existence of positive solutions for the following nonlocal type of problems {-Δu = α/(σωg(u)dx) p f(u) in Ω u>0 in Ω u=0 on ∂ Ω where Ω is a bounded smooth domain in ℝ N (N≥1), f,g are continuous positive functions, σ>0 and pεℝ. We give sufficient conditions on the functions f and g in order to have existence of positive solutions.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-10-01
2013
2013-10-01
2024
2024-11-21
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/20.500.14468/24461
url https://hdl.handle.net/20.500.14468/24461
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer-Verlag
publisher.none.fl_str_mv Springer-Verlag
dc.source.none.fl_str_mv reponame:e-spacio. Repositorio Institucional de la UNED
instname:Universidad Nacional de Educación a Distancia
instname_str Universidad Nacional de Educación a Distancia
reponame_str e-spacio. Repositorio Institucional de la UNED
collection e-spacio. Repositorio Institucional de la UNED
repository.name.fl_str_mv
repository.mail.fl_str_mv
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