Existence of strictly positive solutions for sublinear elliptic problems in bounded domains

Autores
Godoy, Tomás Fernando; Kaufmann, Uriel
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and unbounded function that changes sign in Ω. Let f : [0,∞) → [0,∞) be a nondecreasing continuous function such that k1 ξp ≤ f (ξ) ≤ k2 ξp for all ξ ≥ 0 and some k1 ,k2 > 0 and p ∈ (0,1). We study existence and nonexistence of strictly positive solutions for nonlinear elliptic problems of the form −∆u = m (x) f (u) in Ω, u = 0 on ∂Ω.
publishedVersion
Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Matemática Pura
Fuente
issn: 2169-0375
Materia
Elliptic problems
Indefinite nonlinearities
Sub and supersolutions
Positive solutions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Repositorio
Repositorio Digital Universitario (UNC)
Institución
Universidad Nacional de Córdoba
OAI Identificador
oai:rdu.unc.edu.ar:11086/20549
Acceder
id RDUUNC_a2944252677534888f30f58f5f7d1f5a
oai_identifier_str oai:rdu.unc.edu.ar:11086/20549
network_acronym_str RDUUNC
repository_id_str 2572
network_name_str Repositorio Digital Universitario (UNC)
spelling Existence of strictly positive solutions for sublinear elliptic problems in bounded domainsGodoy, Tomás FernandoKaufmann, UrielElliptic problemsIndefinite nonlinearitiesSub and supersolutionsPositive solutionsFil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and unbounded function that changes sign in Ω. Let f : [0,∞) → [0,∞) be a nondecreasing continuous function such that k1 ξp ≤ f (ξ) ≤ k2 ξp for all ξ ≥ 0 and some k1 ,k2 > 0 and p ∈ (0,1). We study existence and nonexistence of strictly positive solutions for nonlinear elliptic problems of the form −∆u = m (x) f (u) in Ω, u = 0 on ∂Ω.publishedVersionFil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Matemática Pura2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfGodoy, T. & Kaufmann, U. (2014). Existence of Strictly Positive Solutions for Sublinear Elliptic Problems in Bounded Domains. Advanced Nonlinear Studies, 14(2), 353-359. https://doi.org/10.1515/ans-2014-0207http://hdl.handle.net/11086/20549https://doi.org/10.1515/ans-2014-0207issn: 2169-0375reponame:Repositorio Digital Universitario (UNC)instname:Universidad Nacional de Córdobainstacron:UNCenginfo:eu-repo/semantics/openAccess2025-11-06T09:38:51Zoai:rdu.unc.edu.ar:11086/20549Institucionalhttps://rdu.unc.edu.ar/Universidad públicaNo correspondehttp://rdu.unc.edu.ar/oai/snrdoca.unc@gmail.comArgentinaNo correspondeNo correspondeNo correspondeopendoar:25722025-11-06 09:38:51.412Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdobafalse
dc.title.none.fl_str_mv Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
spellingShingle Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
Godoy, Tomás Fernando
Elliptic problems
Indefinite nonlinearities
Sub and supersolutions
Positive solutions
title_short Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title_full Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title_fullStr Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title_full_unstemmed Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title_sort Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
dc.creator.none.fl_str_mv Godoy, Tomás Fernando
Kaufmann, Uriel
author Godoy, Tomás Fernando
author_facet Godoy, Tomás Fernando
Kaufmann, Uriel
author_role author
author2 Kaufmann, Uriel
author2_role author
dc.subject.none.fl_str_mv Elliptic problems
Indefinite nonlinearities
Sub and supersolutions
Positive solutions
topic Elliptic problems
Indefinite nonlinearities
Sub and supersolutions
Positive solutions
dc.description.none.fl_txt_mv Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and unbounded function that changes sign in Ω. Let f : [0,∞) → [0,∞) be a nondecreasing continuous function such that k1 ξp ≤ f (ξ) ≤ k2 ξp for all ξ ≥ 0 and some k1 ,k2 > 0 and p ∈ (0,1). We study existence and nonexistence of strictly positive solutions for nonlinear elliptic problems of the form −∆u = m (x) f (u) in Ω, u = 0 on ∂Ω.
publishedVersion
Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Matemática Pura
description Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
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
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv Godoy, T. & Kaufmann, U. (2014). Existence of Strictly Positive Solutions for Sublinear Elliptic Problems in Bounded Domains. Advanced Nonlinear Studies, 14(2), 353-359. https://doi.org/10.1515/ans-2014-0207
http://hdl.handle.net/11086/20549
https://doi.org/10.1515/ans-2014-0207
identifier_str_mv Godoy, T. & Kaufmann, U. (2014). Existence of Strictly Positive Solutions for Sublinear Elliptic Problems in Bounded Domains. Advanced Nonlinear Studies, 14(2), 353-359. https://doi.org/10.1515/ans-2014-0207
url http://hdl.handle.net/11086/20549
https://doi.org/10.1515/ans-2014-0207
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv issn: 2169-0375
reponame:Repositorio Digital Universitario (UNC)
instname:Universidad Nacional de Córdoba
instacron:UNC
reponame_str Repositorio Digital Universitario (UNC)
collection Repositorio Digital Universitario (UNC)
instname_str Universidad Nacional de Córdoba
instacron_str UNC
institution UNC
repository.name.fl_str_mv Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdoba
repository.mail.fl_str_mv oca.unc@gmail.com
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