A variational characterization of the fucik spectrum and applications

We characterize the {\it Fucik spectrum} (see \cite{fucik}) of a class selfadjoint operators. Our characterization relies on Lyapunov-Schmidt reduction arguments. We use this characterization to establish the existence of solutions for a semilinear wave equation. This work has been motivated by the...

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Autores:
Castro, Alfonso
Chang, Chen
Tipo de recurso:
Article of journal
Fecha de publicación:
2010
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/39798
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/39798
http://bdigital.unal.edu.co/29895/
Palabra clave:
Fucik spectrum
Saddle point principle
Asymptotic behavior
35J20
35J25
35J60
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/39798
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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-ca97a8038bc5300Chang, Chen1cdb7eaf-df6d-4b06-b8de-ecc5a943a7d23002019-06-28T04:28:13Z2019-06-28T04:28:13Z2010https://repositorio.unal.edu.co/handle/unal/39798http://bdigital.unal.edu.co/29895/We characterize the {\it Fucik spectrum} (see \cite{fucik}) of a class selfadjoint operators. Our characterization relies on Lyapunov-Schmidt reduction arguments. We use this characterization to establish the existence of solutions for a semilinear wave equation. This work has been motivated by the authors' results in \cite{chcastro1} where one dimensional second order ordinary differential equations are studied.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/28591Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 23-40 0034-7426Castro, Alfonso and Chang, Chen (2010) A variational characterization of the fucik spectrum and applications. Revista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 23-40 0034-7426 .A variational characterization of the fucik spectrum and applicationsArtículo 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/ARTFucik spectrumSaddle point principleAsymptotic behavior35J2035J2535J60ORIGINAL28591-142425-1-PB.htmltext/html5306https://repositorio.unal.edu.co/bitstream/unal/39798/1/28591-142425-1-PB.html9d927a1887cee19b39a23a2de801ea13MD5128591-102378-1-PB.pdfapplication/pdf220523https://repositorio.unal.edu.co/bitstream/unal/39798/2/28591-102378-1-PB.pdf23b06427c956c05f3ad6849e97da5e85MD52THUMBNAIL28591-102378-1-PB.pdf.jpg28591-102378-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4797https://repositorio.unal.edu.co/bitstream/unal/39798/3/28591-102378-1-PB.pdf.jpg8ba568628d9dd66ec32f643f94cffdc3MD53unal/39798oai:repositorio.unal.edu.co:unal/397982024-01-21 23:06:47.803Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A variational characterization of the fucik spectrum and applications
title A variational characterization of the fucik spectrum and applications
spellingShingle A variational characterization of the fucik spectrum and applications
Fucik spectrum
Saddle point principle
Asymptotic behavior
35J20
35J25
35J60
title_short A variational characterization of the fucik spectrum and applications
title_full A variational characterization of the fucik spectrum and applications
title_fullStr A variational characterization of the fucik spectrum and applications
title_full_unstemmed A variational characterization of the fucik spectrum and applications
title_sort A variational characterization of the fucik spectrum and applications
dc.creator.fl_str_mv Castro, Alfonso
Chang, Chen
dc.contributor.author.spa.fl_str_mv Castro, Alfonso
Chang, Chen
dc.subject.proposal.spa.fl_str_mv Fucik spectrum
Saddle point principle
Asymptotic behavior
35J20
35J25
35J60
topic Fucik spectrum
Saddle point principle
Asymptotic behavior
35J20
35J25
35J60
description We characterize the {\it Fucik spectrum} (see \cite{fucik}) of a class selfadjoint operators. Our characterization relies on Lyapunov-Schmidt reduction arguments. We use this characterization to establish the existence of solutions for a semilinear wave equation. This work has been motivated by the authors' results in \cite{chcastro1} where one dimensional second order ordinary differential equations are studied.
publishDate 2010
dc.date.issued.spa.fl_str_mv 2010
dc.date.accessioned.spa.fl_str_mv 2019-06-28T04:28:13Z
dc.date.available.spa.fl_str_mv 2019-06-28T04:28:13Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/39798
http://bdigital.unal.edu.co/29895/
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/28591
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. 44, núm. 1 (2010); 23-40 0034-7426
dc.relation.references.spa.fl_str_mv Castro, Alfonso and Chang, Chen (2010) A variational characterization of the fucik spectrum and applications. Revista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 23-40 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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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
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dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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