Multiple radial solutions for a semilinear dirichlet problem in a ball

We prove that a semilinear elliptic boundary value problem in a ball has 4j -1 radially symmetric solutions when the nonlinearity has a positive zero and the range of the derivative of the nonlinearity includes at least the first j eigenvalues. We make extensive use of the global bifurcation theorem...

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Autores:
Castro, Alfonso
Cossio, Jorge
Tipo de recurso:
Article of journal
Fecha de publicación:
1993
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43576
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43576
http://bdigital.unal.edu.co/33674/
Palabra clave:
Semi-linéaires
problèmes elliptiques
la valeur limite
valeur propre
le théorème de bifurcation globale
les valeurs de bifurcation
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43576
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network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Castro, Alfonso757aa3fb-d11b-4323-993b-ca97a8038bc5300Cossio, Jorge734b6056-9c70-4805-ab79-93852159453b3002019-06-28T12:09:28Z2019-06-28T12:09:28Z1993https://repositorio.unal.edu.co/handle/unal/43576http://bdigital.unal.edu.co/33674/We prove that a semilinear elliptic boundary value problem in a ball has 4j -1 radially symmetric solutions when the nonlinearity has a positive zero and the range of the derivative of the nonlinearity includes at least the first j eigenvalues. We make extensive use of the global bifurcation theorem, bifurcation from infinity, and bifurcation from simple eigenvalues.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33560Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 27, núm. 1-2 (1993); 15-24 0034-7426Castro, Alfonso and Cossio, Jorge (1993) Multiple radial solutions for a semilinear dirichlet problem in a ball. Revista Colombiana de Matemáticas; Vol. 27, núm. 1-2 (1993); 15-24 0034-7426 .Multiple radial solutions for a semilinear dirichlet problem in a ballArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTSemi-linéairesproblèmes elliptiquesla valeur limitevaleur proprele théorème de bifurcation globaleles valeurs de bifurcationORIGINAL33560-124609-1-PB.pdfapplication/pdf3366680https://repositorio.unal.edu.co/bitstream/unal/43576/1/33560-124609-1-PB.pdf4668bb241aa82ebf43213418cb89de52MD51THUMBNAIL33560-124609-1-PB.pdf.jpg33560-124609-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7404https://repositorio.unal.edu.co/bitstream/unal/43576/2/33560-124609-1-PB.pdf.jpg934379ac27ce457da050c9009825e6b8MD52unal/43576oai:repositorio.unal.edu.co:unal/435762023-02-13 23:04:08.832Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Multiple radial solutions for a semilinear dirichlet problem in a ball
title Multiple radial solutions for a semilinear dirichlet problem in a ball
spellingShingle Multiple radial solutions for a semilinear dirichlet problem in a ball
Semi-linéaires
problèmes elliptiques
la valeur limite
valeur propre
le théorème de bifurcation globale
les valeurs de bifurcation
title_short Multiple radial solutions for a semilinear dirichlet problem in a ball
title_full Multiple radial solutions for a semilinear dirichlet problem in a ball
title_fullStr Multiple radial solutions for a semilinear dirichlet problem in a ball
title_full_unstemmed Multiple radial solutions for a semilinear dirichlet problem in a ball
title_sort Multiple radial solutions for a semilinear dirichlet problem in a ball
dc.creator.fl_str_mv Castro, Alfonso
Cossio, Jorge
dc.contributor.author.spa.fl_str_mv Castro, Alfonso
Cossio, Jorge
dc.subject.proposal.spa.fl_str_mv Semi-linéaires
problèmes elliptiques
la valeur limite
valeur propre
le théorème de bifurcation globale
les valeurs de bifurcation
topic Semi-linéaires
problèmes elliptiques
la valeur limite
valeur propre
le théorème de bifurcation globale
les valeurs de bifurcation
description We prove that a semilinear elliptic boundary value problem in a ball has 4j -1 radially symmetric solutions when the nonlinearity has a positive zero and the range of the derivative of the nonlinearity includes at least the first j eigenvalues. We make extensive use of the global bifurcation theorem, bifurcation from infinity, and bifurcation from simple eigenvalues.
publishDate 1993
dc.date.issued.spa.fl_str_mv 1993
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:09:28Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:09:28Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43576
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33674/
url https://repositorio.unal.edu.co/handle/unal/43576
http://bdigital.unal.edu.co/33674/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33560
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 27, núm. 1-2 (1993); 15-24 0034-7426
dc.relation.references.spa.fl_str_mv Castro, Alfonso and Cossio, Jorge (1993) Multiple radial solutions for a semilinear dirichlet problem in a ball. Revista Colombiana de Matemáticas; Vol. 27, núm. 1-2 (1993); 15-24 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43576/1/33560-124609-1-PB.pdf
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