Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type

In this paper, using the Mountain Pass Lemma and the LinkingArgument, we prove the existence of nontrivial weak solutions forthe Dirichlet problem for the superlinear equation of Caffarelli-Kohn- Nirenberg type in the case where the parameter L  in (0, L2), L2 being the second positive eigenvalue of...

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Autores:
Xuan, Benjin
Tipo de recurso:
Article of journal
Fecha de publicación:
2003
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73512
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73512
http://bdigital.unal.edu.co/37988/
Palabra clave:
singular equation
Caffarelli-Kohn-Nirenberg inequality
Mountain Pass Lemma
Linking Argument.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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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_abf2Xuan, Benjin4f6fa443-8a3a-4401-956b-9fc45156534e3002019-07-03T16:27:31Z2019-07-03T16:27:31Z2003https://repositorio.unal.edu.co/handle/unal/73512http://bdigital.unal.edu.co/37988/In this paper, using the Mountain Pass Lemma and the LinkingArgument, we prove the existence of nontrivial weak solutions forthe Dirichlet problem for the superlinear equation of Caffarelli-Kohn- Nirenberg type in the case where the parameter L  in (0, L2), L2 being the second positive eigenvalue of the quasilinear elliptic equation of Caffarelli-Kohn-Nirenberg type.application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40275Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 10, núm. 2 (2003); 47-58 Boletín de Matemáticas; Vol. 10, núm. 2 (2003); 47-58 2357-6529 0120-0380Xuan, Benjin (2003) Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type. Boletín de Matemáticas; Vol. 10, núm. 2 (2003); 47-58 Boletín de Matemáticas; Vol. 10, núm. 2 (2003); 47-58 2357-6529 0120-0380 .Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg typeArtículo 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/ARTsingular equationCaffarelli-Kohn-Nirenberg inequalityMountain Pass LemmaLinking Argument.ORIGINAL40275-180750-1-PB.pdfapplication/pdf200077https://repositorio.unal.edu.co/bitstream/unal/73512/1/40275-180750-1-PB.pdfb079a98bb1c89e70b876b515ef51c3bcMD51THUMBNAIL40275-180750-1-PB.pdf.jpg40275-180750-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4377https://repositorio.unal.edu.co/bitstream/unal/73512/2/40275-180750-1-PB.pdf.jpg91c793b2d3056e59e00689e11cc9e304MD52unal/73512oai:repositorio.unal.edu.co:unal/735122023-06-29 23:03:34.323Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type
title Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type
spellingShingle Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type
singular equation
Caffarelli-Kohn-Nirenberg inequality
Mountain Pass Lemma
Linking Argument.
title_short Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type
title_full Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type
title_fullStr Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type
title_full_unstemmed Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type
title_sort Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type
dc.creator.fl_str_mv Xuan, Benjin
dc.contributor.author.spa.fl_str_mv Xuan, Benjin
dc.subject.proposal.spa.fl_str_mv singular equation
Caffarelli-Kohn-Nirenberg inequality
Mountain Pass Lemma
Linking Argument.
topic singular equation
Caffarelli-Kohn-Nirenberg inequality
Mountain Pass Lemma
Linking Argument.
description In this paper, using the Mountain Pass Lemma and the LinkingArgument, we prove the existence of nontrivial weak solutions forthe Dirichlet problem for the superlinear equation of Caffarelli-Kohn- Nirenberg type in the case where the parameter L  in (0, L2), L2 being the second positive eigenvalue of the quasilinear elliptic equation of Caffarelli-Kohn-Nirenberg type.
publishDate 2003
dc.date.issued.spa.fl_str_mv 2003
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:27:31Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:27:31Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
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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/73512
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/37988/
url https://repositorio.unal.edu.co/handle/unal/73512
http://bdigital.unal.edu.co/37988/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/bolma/article/view/40275
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Boletín de Matemáticas; Vol. 10, núm. 2 (2003); 47-58 Boletín de Matemáticas; Vol. 10, núm. 2 (2003); 47-58 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Xuan, Benjin (2003) Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type. Boletín de Matemáticas; Vol. 10, núm. 2 (2003); 47-58 Boletín de Matemáticas; Vol. 10, núm. 2 (2003); 47-58 2357-6529 0120-0380 .
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 Boletín de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/73512/1/40275-180750-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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