Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term

Autores
Quaas, Alexander; Salort, Ariel Martin; Xia, Aliang
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study existence of principal eigenvalues of a fully nonlinear integro-differential elliptic equations with a drift term via the Krein-Rutman theorem and regularity estimates up to boundary of viscosity solutions. We also show simplicity of eigenfunctions in the viscosity sense by using a nonlocal version of the ABP estimate and a "sweeping lemma".
Fil: Quaas, Alexander. Universidad Técnica Federico Santa María; Chile
Fil: Salort, Ariel Martin. 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"; Argentina
Fil: Xia, Aliang. Jiangxi Normal University; China
Materia
INTEGRO-DIFFERENTIAL EQUATION
KREIN-RUTMAN THEOREM
PRINCIPAL EIGENVALUE
REGULARITY
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:11336/143668
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift termQuaas, AlexanderSalort, Ariel MartinXia, AliangINTEGRO-DIFFERENTIAL EQUATIONKREIN-RUTMAN THEOREMPRINCIPAL EIGENVALUEREGULARITYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study existence of principal eigenvalues of a fully nonlinear integro-differential elliptic equations with a drift term via the Krein-Rutman theorem and regularity estimates up to boundary of viscosity solutions. We also show simplicity of eigenfunctions in the viscosity sense by using a nonlocal version of the ABP estimate and a "sweeping lemma".Fil: Quaas, Alexander. Universidad Técnica Federico Santa María; ChileFil: Salort, Ariel Martin. 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"; ArgentinaFil: Xia, Aliang. Jiangxi Normal University; ChinaEDP Sciences2020-01info: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/11336/143668Quaas, Alexander; Salort, Ariel Martin; Xia, Aliang; Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term; EDP Sciences; Esaim. Cocv; 26; 1-2020; 1-231292-8119CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.esaim-cocv.org/articles/cocv/abs/2020/01/cocv180108/cocv180108.htmlinfo:eu-repo/semantics/altIdentifier/doi/10.1051/cocv/2020003info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1605.09787info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:42:30Zoai:ri.conicet.gov.ar:11336/143668instacron: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 09:42:31.272CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
title Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
spellingShingle Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
Quaas, Alexander
INTEGRO-DIFFERENTIAL EQUATION
KREIN-RUTMAN THEOREM
PRINCIPAL EIGENVALUE
REGULARITY
title_short Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
title_full Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
title_fullStr Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
title_full_unstemmed Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
title_sort Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
dc.creator.none.fl_str_mv Quaas, Alexander
Salort, Ariel Martin
Xia, Aliang
author Quaas, Alexander
author_facet Quaas, Alexander
Salort, Ariel Martin
Xia, Aliang
author_role author
author2 Salort, Ariel Martin
Xia, Aliang
author2_role author
author
dc.subject.none.fl_str_mv INTEGRO-DIFFERENTIAL EQUATION
KREIN-RUTMAN THEOREM
PRINCIPAL EIGENVALUE
REGULARITY
topic INTEGRO-DIFFERENTIAL EQUATION
KREIN-RUTMAN THEOREM
PRINCIPAL EIGENVALUE
REGULARITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study existence of principal eigenvalues of a fully nonlinear integro-differential elliptic equations with a drift term via the Krein-Rutman theorem and regularity estimates up to boundary of viscosity solutions. We also show simplicity of eigenfunctions in the viscosity sense by using a nonlocal version of the ABP estimate and a "sweeping lemma".
Fil: Quaas, Alexander. Universidad Técnica Federico Santa María; Chile
Fil: Salort, Ariel Martin. 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"; Argentina
Fil: Xia, Aliang. Jiangxi Normal University; China
description We study existence of principal eigenvalues of a fully nonlinear integro-differential elliptic equations with a drift term via the Krein-Rutman theorem and regularity estimates up to boundary of viscosity solutions. We also show simplicity of eigenfunctions in the viscosity sense by using a nonlocal version of the ABP estimate and a "sweeping lemma".
publishDate 2020
dc.date.none.fl_str_mv 2020-01
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/11336/143668
Quaas, Alexander; Salort, Ariel Martin; Xia, Aliang; Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term; EDP Sciences; Esaim. Cocv; 26; 1-2020; 1-23
1292-8119
CONICET Digital
CONICET
url http://hdl.handle.net/11336/143668
identifier_str_mv Quaas, Alexander; Salort, Ariel Martin; Xia, Aliang; Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term; EDP Sciences; Esaim. Cocv; 26; 1-2020; 1-23
1292-8119
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.esaim-cocv.org/articles/cocv/abs/2020/01/cocv180108/cocv180108.html
info:eu-repo/semantics/altIdentifier/doi/10.1051/cocv/2020003
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1605.09787
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 EDP Sciences
publisher.none.fl_str_mv EDP 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
_version_ 1844613339425013760
score 13.070432

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