Homogenization of Steklov eigenvalues with rapidly oscillating weights

Autores
Salort, Ariel Martin
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article we study the homogenization rates of eigenvalues of a Steklov problem with rapidly oscillating periodic weight functions. The results are obtained via a careful study of oscillating functions on the boundary and a precise estimate of the L∞ bound of eigenfunctions. As an application we provide some estimates on the first nontrivial curve of the Dancer–Fučík spectrum.
Fil: Salort, Ariel Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; Argentina
Materia
HOMOGENIZATION
STEKLOV
EIGENVALUE
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:11336/203473
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/203473
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Homogenization of Steklov eigenvalues with rapidly oscillating weightsSalort, Ariel MartinHOMOGENIZATIONSTEKLOVEIGENVALUEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article we study the homogenization rates of eigenvalues of a Steklov problem with rapidly oscillating periodic weight functions. The results are obtained via a careful study of oscillating functions on the boundary and a precise estimate of the L∞ bound of eigenfunctions. As an application we provide some estimates on the first nontrivial curve of the Dancer–Fučík spectrum.Fil: Salort, Ariel Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; ArgentinaSpringer2022-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/203473Salort, Ariel Martin; Homogenization of Steklov eigenvalues with rapidly oscillating weights; Springer; Calculus Of Variations And Partial Differential Equations; 61; 1; 2-2022; 1-190944-2669CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00526-021-02131-1info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00526-021-02131-1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:18:32Zoai:ri.conicet.gov.ar:11336/203473instacron: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:34982025-09-29 10:18:33.213CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Homogenization of Steklov eigenvalues with rapidly oscillating weights
title Homogenization of Steklov eigenvalues with rapidly oscillating weights
spellingShingle Homogenization of Steklov eigenvalues with rapidly oscillating weights
Salort, Ariel Martin
HOMOGENIZATION
STEKLOV
EIGENVALUE
title_short Homogenization of Steklov eigenvalues with rapidly oscillating weights
title_full Homogenization of Steklov eigenvalues with rapidly oscillating weights
title_fullStr Homogenization of Steklov eigenvalues with rapidly oscillating weights
title_full_unstemmed Homogenization of Steklov eigenvalues with rapidly oscillating weights
title_sort Homogenization of Steklov eigenvalues with rapidly oscillating weights
dc.creator.none.fl_str_mv Salort, Ariel Martin
author Salort, Ariel Martin
author_facet Salort, Ariel Martin
author_role author
dc.subject.none.fl_str_mv HOMOGENIZATION
STEKLOV
EIGENVALUE
topic HOMOGENIZATION
STEKLOV
EIGENVALUE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this article we study the homogenization rates of eigenvalues of a Steklov problem with rapidly oscillating periodic weight functions. The results are obtained via a careful study of oscillating functions on the boundary and a precise estimate of the L∞ bound of eigenfunctions. As an application we provide some estimates on the first nontrivial curve of the Dancer–Fučík spectrum.
Fil: Salort, Ariel Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; Argentina
description In this article we study the homogenization rates of eigenvalues of a Steklov problem with rapidly oscillating periodic weight functions. The results are obtained via a careful study of oscillating functions on the boundary and a precise estimate of the L∞ bound of eigenfunctions. As an application we provide some estimates on the first nontrivial curve of the Dancer–Fučík spectrum.
publishDate 2022
dc.date.none.fl_str_mv 2022-02
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/11336/203473
Salort, Ariel Martin; Homogenization of Steklov eigenvalues with rapidly oscillating weights; Springer; Calculus Of Variations And Partial Differential Equations; 61; 1; 2-2022; 1-19
0944-2669
CONICET Digital
CONICET
url http://hdl.handle.net/11336/203473
identifier_str_mv Salort, Ariel Martin; Homogenization of Steklov eigenvalues with rapidly oscillating weights; Springer; Calculus Of Variations And Partial Differential Equations; 61; 1; 2-2022; 1-19
0944-2669
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s00526-021-02131-1
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00526-021-02131-1
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
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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
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score 13.070432

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