Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian

Autores
Kaufmann, Uriel; Medri, Ivan Vladimir
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let Ω be a bounded open interval, and let p>1 and q∈(0,p−1). Let m∈Lp′(Ω) and 0≤c∈L∞(Ω). We study the existence of strictly positive solutions for elliptic problems of the form −(|u′|^p − 2u′)′+c(x)u^(p−1)=m(x)u^q in Ω, u=0 on ∂Ω. We mention that our results are new even in the case c≡0.
Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Medri, Ivan Vladimir. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
Elliptic One-Dimensional Problems
Indefinite Nonlinearities
P-Laplacian
Strictly Positive Solutions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/33957
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacianKaufmann, UrielMedri, Ivan VladimirElliptic One-Dimensional ProblemsIndefinite NonlinearitiesP-LaplacianStrictly Positive Solutionshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let Ω be a bounded open interval, and let p>1 and q∈(0,p−1). Let m∈Lp′(Ω) and 0≤c∈L∞(Ω). We study the existence of strictly positive solutions for elliptic problems of the form −(|u′|^p − 2u′)′+c(x)u^(p−1)=m(x)u^q in Ω, u=0 on ∂Ω. We mention that our results are new even in the case c≡0.Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Medri, Ivan Vladimir. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaAustralian Mathematics Publ Assoc Inc2014-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/33957Kaufmann, Uriel; Medri, Ivan Vladimir; Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian; Australian Mathematics Publ Assoc Inc; Bulletin Of The Australian Mathematical Society; 89; 2; 4-2014; 243-2510004-9727CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1017/S0004972713000725info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/strictly-positive-solutions-for-onedimensional-nonlinear-problems-involving-the-p-laplacian/107C6DDBA9B4846C1F2CA8C757D4EDC4info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:46:02Zoai:ri.conicet.gov.ar:11336/33957instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:46:03.312CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian
title Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian
spellingShingle Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian
Kaufmann, Uriel
Elliptic One-Dimensional Problems
Indefinite Nonlinearities
P-Laplacian
Strictly Positive Solutions
title_short Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian
title_full Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian
title_fullStr Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian
title_full_unstemmed Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian
title_sort Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian
dc.creator.none.fl_str_mv Kaufmann, Uriel
Medri, Ivan Vladimir
author Kaufmann, Uriel
author_facet Kaufmann, Uriel
Medri, Ivan Vladimir
author_role author
author2 Medri, Ivan Vladimir
author2_role author
dc.subject.none.fl_str_mv Elliptic One-Dimensional Problems
Indefinite Nonlinearities
P-Laplacian
Strictly Positive Solutions
topic Elliptic One-Dimensional Problems
Indefinite Nonlinearities
P-Laplacian
Strictly Positive Solutions
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let Ω be a bounded open interval, and let p>1 and q∈(0,p−1). Let m∈Lp′(Ω) and 0≤c∈L∞(Ω). We study the existence of strictly positive solutions for elliptic problems of the form −(|u′|^p − 2u′)′+c(x)u^(p−1)=m(x)u^q in Ω, u=0 on ∂Ω. We mention that our results are new even in the case c≡0.
Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Medri, Ivan Vladimir. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description Let Ω be a bounded open interval, and let p>1 and q∈(0,p−1). Let m∈Lp′(Ω) and 0≤c∈L∞(Ω). We study the existence of strictly positive solutions for elliptic problems of the form −(|u′|^p − 2u′)′+c(x)u^(p−1)=m(x)u^q in Ω, u=0 on ∂Ω. We mention that our results are new even in the case c≡0.
publishDate 2014
dc.date.none.fl_str_mv 2014-04
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 http://hdl.handle.net/11336/33957
Kaufmann, Uriel; Medri, Ivan Vladimir; Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian; Australian Mathematics Publ Assoc Inc; Bulletin Of The Australian Mathematical Society; 89; 2; 4-2014; 243-251
0004-9727
CONICET Digital
CONICET
url http://hdl.handle.net/11336/33957
identifier_str_mv Kaufmann, Uriel; Medri, Ivan Vladimir; Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian; Australian Mathematics Publ Assoc Inc; Bulletin Of The Australian Mathematical Society; 89; 2; 4-2014; 243-251
0004-9727
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1017/S0004972713000725
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/strictly-positive-solutions-for-onedimensional-nonlinear-problems-involving-the-p-laplacian/107C6DDBA9B4846C1F2CA8C757D4EDC4
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Australian Mathematics Publ Assoc Inc
publisher.none.fl_str_mv Australian Mathematics Publ Assoc Inc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846782160193716224
score 12.982451

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