A priori bounds and existence of solutions for some nonlocal elliptic problems

Autores
Barrios, Begoña; del Pezzo, Leandro Martin; Garcia Melian, Jorge; Quaas, Alexander
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the solutions. We obtain the a priori bounds by adapting the classical scaling method of Gidas and Spruck. We also deal with problems involving gradient terms.
Fil: Barrios, Begoña. University of Texas at Austin; Estados Unidos
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
Fil: Garcia Melian, Jorge. Universidad de La Laguna; España
Fil: Quaas, Alexander. Universidad Técnica Federico Santa María; Chile
Materia
A PRIORI ESTIMATES
NONLOCAL DIFFUSION PROBLEMS
TOPOLOGICAL DEGREE
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:11336/98549
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/98549
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network_name_str CONICET Digital (CONICET)
spelling A priori bounds and existence of solutions for some nonlocal elliptic problemsBarrios, Begoñadel Pezzo, Leandro MartinGarcia Melian, JorgeQuaas, AlexanderA PRIORI ESTIMATESNONLOCAL DIFFUSION PROBLEMSTOPOLOGICAL DEGREEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the solutions. We obtain the a priori bounds by adapting the classical scaling method of Gidas and Spruck. We also deal with problems involving gradient terms.Fil: Barrios, Begoña. University of Texas at Austin; Estados UnidosFil: 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; ArgentinaFil: Garcia Melian, Jorge. Universidad de La Laguna; EspañaFil: Quaas, Alexander. Universidad Técnica Federico Santa María; ChileUniversidad Autónoma de Madrid2018-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/98549Barrios, Begoña; del Pezzo, Leandro Martin; Garcia Melian, Jorge; Quaas, Alexander; A priori bounds and existence of solutions for some nonlocal elliptic problems; Universidad Autónoma de Madrid; Revista Matematica Iberoamericana; 34; 1; 3-2018; 195-2200213-2230CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4171/rmi/983info:eu-repo/semantics/altIdentifier/url/https://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=34&iss=1&rank=4info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:20:27Zoai:ri.conicet.gov.ar:11336/98549instacron: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:34982025-10-15 14:20:28.164CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A priori bounds and existence of solutions for some nonlocal elliptic problems
title A priori bounds and existence of solutions for some nonlocal elliptic problems
spellingShingle A priori bounds and existence of solutions for some nonlocal elliptic problems
Barrios, Begoña
A PRIORI ESTIMATES
NONLOCAL DIFFUSION PROBLEMS
TOPOLOGICAL DEGREE
title_short A priori bounds and existence of solutions for some nonlocal elliptic problems
title_full A priori bounds and existence of solutions for some nonlocal elliptic problems
title_fullStr A priori bounds and existence of solutions for some nonlocal elliptic problems
title_full_unstemmed A priori bounds and existence of solutions for some nonlocal elliptic problems
title_sort A priori bounds and existence of solutions for some nonlocal elliptic problems
dc.creator.none.fl_str_mv Barrios, Begoña
del Pezzo, Leandro Martin
Garcia Melian, Jorge
Quaas, Alexander
author Barrios, Begoña
author_facet Barrios, Begoña
del Pezzo, Leandro Martin
Garcia Melian, Jorge
Quaas, Alexander
author_role author
author2 del Pezzo, Leandro Martin
Garcia Melian, Jorge
Quaas, Alexander
author2_role author
author
author
dc.subject.none.fl_str_mv A PRIORI ESTIMATES
NONLOCAL DIFFUSION PROBLEMS
TOPOLOGICAL DEGREE
topic A PRIORI ESTIMATES
NONLOCAL DIFFUSION PROBLEMS
TOPOLOGICAL DEGREE
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 show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the solutions. We obtain the a priori bounds by adapting the classical scaling method of Gidas and Spruck. We also deal with problems involving gradient terms.
Fil: Barrios, Begoña. University of Texas at Austin; Estados Unidos
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
Fil: Garcia Melian, Jorge. Universidad de La Laguna; España
Fil: Quaas, Alexander. Universidad Técnica Federico Santa María; Chile
description In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the solutions. We obtain the a priori bounds by adapting the classical scaling method of Gidas and Spruck. We also deal with problems involving gradient terms.
publishDate 2018
dc.date.none.fl_str_mv 2018-03
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/11336/98549
Barrios, Begoña; del Pezzo, Leandro Martin; Garcia Melian, Jorge; Quaas, Alexander; A priori bounds and existence of solutions for some nonlocal elliptic problems; Universidad Autónoma de Madrid; Revista Matematica Iberoamericana; 34; 1; 3-2018; 195-220
0213-2230
CONICET Digital
CONICET
url http://hdl.handle.net/11336/98549
identifier_str_mv Barrios, Begoña; del Pezzo, Leandro Martin; Garcia Melian, Jorge; Quaas, Alexander; A priori bounds and existence of solutions for some nonlocal elliptic problems; Universidad Autónoma de Madrid; Revista Matematica Iberoamericana; 34; 1; 3-2018; 195-220
0213-2230
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4171/rmi/983
info:eu-repo/semantics/altIdentifier/url/https://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=34&iss=1&rank=4
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 Universidad Autónoma de Madrid
publisher.none.fl_str_mv Universidad Autónoma de Madrid
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_ 1846082579849019392
score 13.22299

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