Lower bounds for Orlicz eigenvalues

Autores
Salort, Ariel Martin
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article we consider the following weighted nonlinear eigenvalue problem for the g-Laplacian {equation presented} with Dirichlet boundary conditions. Here w is a suitable weight and g = G' and h = H' are appropriated Young functions satisfying the so called Δ' condition, which includes for instance logarithmic perturbation of powers and different power behaviors near zero and infinity. We prove several properties on its spectrum, being our main goal to obtain lower bounds of eigenvalues in terms of G, H, w and the normalization μ of the corresponding eigenfunctions. We introduce some new strategies to obtain results that generalize several inequalities from the literature of p-Laplacian type eigenvalues.
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
EIGENVALUE BOUNDS
LYAPUNOV INEQUALITY
ORLICZ SPACES
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:11336/204745
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/204745
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Lower bounds for Orlicz eigenvaluesSalort, Ariel MartinEIGENVALUE BOUNDSLYAPUNOV INEQUALITYORLICZ SPACEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article we consider the following weighted nonlinear eigenvalue problem for the g-Laplacian {equation presented} with Dirichlet boundary conditions. Here w is a suitable weight and g = G' and h = H' are appropriated Young functions satisfying the so called Δ' condition, which includes for instance logarithmic perturbation of powers and different power behaviors near zero and infinity. We prove several properties on its spectrum, being our main goal to obtain lower bounds of eigenvalues in terms of G, H, w and the normalization μ of the corresponding eigenfunctions. We introduce some new strategies to obtain results that generalize several inequalities from the literature of p-Laplacian type eigenvalues.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; ArgentinaAmerican Institute of Mathematical Sciences2022-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/204745Salort, Ariel Martin; Lower bounds for Orlicz eigenvalues; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 42; 3; 3-2022; 1415-14341078-09471553-5231CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org/article/doi/10.3934/dcds.2021158info:eu-repo/semantics/altIdentifier/doi/10.3934/dcds.2021158info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2104.07562v1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:55:52Zoai:ri.conicet.gov.ar:11336/204745instacron: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 09:55:52.327CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Lower bounds for Orlicz eigenvalues
title Lower bounds for Orlicz eigenvalues
spellingShingle Lower bounds for Orlicz eigenvalues
Salort, Ariel Martin
EIGENVALUE BOUNDS
LYAPUNOV INEQUALITY
ORLICZ SPACES
title_short Lower bounds for Orlicz eigenvalues
title_full Lower bounds for Orlicz eigenvalues
title_fullStr Lower bounds for Orlicz eigenvalues
title_full_unstemmed Lower bounds for Orlicz eigenvalues
title_sort Lower bounds for Orlicz eigenvalues
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 EIGENVALUE BOUNDS
LYAPUNOV INEQUALITY
ORLICZ SPACES
topic EIGENVALUE BOUNDS
LYAPUNOV INEQUALITY
ORLICZ SPACES
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 consider the following weighted nonlinear eigenvalue problem for the g-Laplacian {equation presented} with Dirichlet boundary conditions. Here w is a suitable weight and g = G' and h = H' are appropriated Young functions satisfying the so called Δ' condition, which includes for instance logarithmic perturbation of powers and different power behaviors near zero and infinity. We prove several properties on its spectrum, being our main goal to obtain lower bounds of eigenvalues in terms of G, H, w and the normalization μ of the corresponding eigenfunctions. We introduce some new strategies to obtain results that generalize several inequalities from the literature of p-Laplacian type eigenvalues.
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 consider the following weighted nonlinear eigenvalue problem for the g-Laplacian {equation presented} with Dirichlet boundary conditions. Here w is a suitable weight and g = G' and h = H' are appropriated Young functions satisfying the so called Δ' condition, which includes for instance logarithmic perturbation of powers and different power behaviors near zero and infinity. We prove several properties on its spectrum, being our main goal to obtain lower bounds of eigenvalues in terms of G, H, w and the normalization μ of the corresponding eigenfunctions. We introduce some new strategies to obtain results that generalize several inequalities from the literature of p-Laplacian type eigenvalues.
publishDate 2022
dc.date.none.fl_str_mv 2022-03
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/11336/204745
Salort, Ariel Martin; Lower bounds for Orlicz eigenvalues; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 42; 3; 3-2022; 1415-1434
1078-0947
1553-5231
CONICET Digital
CONICET
url http://hdl.handle.net/11336/204745
identifier_str_mv Salort, Ariel Martin; Lower bounds for Orlicz eigenvalues; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 42; 3; 3-2022; 1415-1434
1078-0947
1553-5231
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org/article/doi/10.3934/dcds.2021158
info:eu-repo/semantics/altIdentifier/doi/10.3934/dcds.2021158
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2104.07562v1
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
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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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