Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator

In this paper we study the asymptotic behavior of the Steklov eigenvalues of the p-Laplacian. We show the existence of lower and upper bounds of a Weyl-type expansion of the function N(λ) which counts the number of eigenvalues less than or equal to λ, and we derive from them asymptotic bounds for th...

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Detalles Bibliográficos
Autor: Pinasco, Juan Pablo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/127507
Acceso en línea:http://hdl.handle.net/11336/127507
Access Level:acceso abierto
Palabra clave:ASYMPTOTIC OF EIGENVALUES
P-LAPLACIAN
STEKLOV
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operatorPinasco, Juan PabloASYMPTOTIC OF EIGENVALUESP-LAPLACIANSTEKLOVhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we study the asymptotic behavior of the Steklov eigenvalues of the p-Laplacian. We show the existence of lower and upper bounds of a Weyl-type expansion of the function N(λ) which counts the number of eigenvalues less than or equal to λ, and we derive from them asymptotic bounds for the eigenvalues.Fil: Pinasco, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaDe Gruyter2007-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/127507Pinasco, Juan Pablo; Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator; De Gruyter; Advanced Nonlinear Studies; 7; 3; 12-2007; 319-3281536-1365CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1515/ans-2007-0301info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/ans-2007-0301/htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:37:57Zoai:ri.conicet.gov.ar:11336/127507instacron: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:34982024-05-08 13:37:57.354CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator
title Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator
spellingShingle Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator
Pinasco, Juan Pablo
ASYMPTOTIC OF EIGENVALUES
P-LAPLACIAN
STEKLOV
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator
title_full Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator
title_fullStr Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator
title_full_unstemmed Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator
title_sort Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator
dc.creator.none.fl_str_mv Pinasco, Juan Pablo
author Pinasco, Juan Pablo
author_facet Pinasco, Juan Pablo
author_role author
dc.subject.none.fl_str_mv ASYMPTOTIC OF EIGENVALUES
P-LAPLACIAN
STEKLOV
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic ASYMPTOTIC OF EIGENVALUES
P-LAPLACIAN
STEKLOV
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description In this paper we study the asymptotic behavior of the Steklov eigenvalues of the p-Laplacian. We show the existence of lower and upper bounds of a Weyl-type expansion of the function N(λ) which counts the number of eigenvalues less than or equal to λ, and we derive from them asymptotic bounds for the eigenvalues.
publishDate 2007
dc.date.none.fl_str_mv 2007-12
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/11336/127507
Pinasco, Juan Pablo; Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator; De Gruyter; Advanced Nonlinear Studies; 7; 3; 12-2007; 319-328
1536-1365
CONICET Digital
CONICET
url http://hdl.handle.net/11336/127507
identifier_str_mv Pinasco, Juan Pablo; Asymptotic behavior of the Steklov eigenvalues for the p-Laplace operator; De Gruyter; Advanced Nonlinear Studies; 7; 3; 12-2007; 319-328
1536-1365
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1515/ans-2007-0301
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/ans-2007-0301/html
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv De Gruyter
publisher.none.fl_str_mv De Gruyter
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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 15.811543

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