An optimization problem for the first weighted eigenvalue problem plus a potential

Autores
Fernandez Bonder, Julian; del Pezzo, Leandro Martin
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we study the problem of minimizing the first eigenvalue of the p-Laplacian plus a potential with weights when the potential and the weight are allowed to vary in the class of rearrangements of a given fixed potential V0 and weight g0. Our results generalize those obtained in earlier papers.
Fil: Fernandez Bonder, Julian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Eigenvalue
Optimization
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:11336/68481

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spelling An optimization problem for the first weighted eigenvalue problem plus a potentialFernandez Bonder, Juliandel Pezzo, Leandro MartinEigenvalueOptimizationhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper, we study the problem of minimizing the first eigenvalue of the p-Laplacian plus a potential with weights when the potential and the weight are allowed to vary in the class of rearrangements of a given fixed potential V0 and weight g0. Our results generalize those obtained in earlier papers.Fil: Fernandez Bonder, Julian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAmerican Mathematical Society2010-10info: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/11336/68481Fernandez Bonder, Julian; del Pezzo, Leandro Martin; An optimization problem for the first weighted eigenvalue problem plus a potential; American Mathematical Society; Proceedings of the American Mathematical Society; 138; 10; 10-2010; 3551-35670002-9939CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0906.2985info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2010-138-10/S0002-9939-10-10384-0/info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-10-10384-0info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:07:57Zoai:ri.conicet.gov.ar:11336/68481instacron: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:34982025-09-03 10:07:57.976CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An optimization problem for the first weighted eigenvalue problem plus a potential
title An optimization problem for the first weighted eigenvalue problem plus a potential
spellingShingle An optimization problem for the first weighted eigenvalue problem plus a potential
Fernandez Bonder, Julian
Eigenvalue
Optimization
title_short An optimization problem for the first weighted eigenvalue problem plus a potential
title_full An optimization problem for the first weighted eigenvalue problem plus a potential
title_fullStr An optimization problem for the first weighted eigenvalue problem plus a potential
title_full_unstemmed An optimization problem for the first weighted eigenvalue problem plus a potential
title_sort An optimization problem for the first weighted eigenvalue problem plus a potential
dc.creator.none.fl_str_mv Fernandez Bonder, Julian
del Pezzo, Leandro Martin
author Fernandez Bonder, Julian
author_facet Fernandez Bonder, Julian
del Pezzo, Leandro Martin
author_role author
author2 del Pezzo, Leandro Martin
author2_role author
dc.subject.none.fl_str_mv Eigenvalue
Optimization
topic Eigenvalue
Optimization
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 paper, we study the problem of minimizing the first eigenvalue of the p-Laplacian plus a potential with weights when the potential and the weight are allowed to vary in the class of rearrangements of a given fixed potential V0 and weight g0. Our results generalize those obtained in earlier papers.
Fil: Fernandez Bonder, Julian. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this paper, we study the problem of minimizing the first eigenvalue of the p-Laplacian plus a potential with weights when the potential and the weight are allowed to vary in the class of rearrangements of a given fixed potential V0 and weight g0. Our results generalize those obtained in earlier papers.
publishDate 2010
dc.date.none.fl_str_mv 2010-10
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/11336/68481
Fernandez Bonder, Julian; del Pezzo, Leandro Martin; An optimization problem for the first weighted eigenvalue problem plus a potential; American Mathematical Society; Proceedings of the American Mathematical Society; 138; 10; 10-2010; 3551-3567
0002-9939
CONICET Digital
CONICET
url http://hdl.handle.net/11336/68481
identifier_str_mv Fernandez Bonder, Julian; del Pezzo, Leandro Martin; An optimization problem for the first weighted eigenvalue problem plus a potential; American Mathematical Society; Proceedings of the American Mathematical Society; 138; 10; 10-2010; 3551-3567
0002-9939
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://arxiv.org/abs/0906.2985
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2010-138-10/S0002-9939-10-10384-0/
info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-10-10384-0
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 American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
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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