Symmetry breaking for an elliptic equation involving the fractional Laplacian.

Autores
Amster, Pablo Gustavo
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights.
Fil: Amster, Pablo Gustavo. 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Materia
fractional Laplacian
symmetry breaking
Strauss inequality
embedding theorems
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:11336/88943
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/88943
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Symmetry breaking for an elliptic equation involving the fractional Laplacian.Amster, Pablo Gustavofractional Laplaciansymmetry breakingStrauss inequalityembedding theoremshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights.Fil: Amster, Pablo Gustavo. 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaKhayyam Publishing, Inc.2018-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88943Amster, Pablo Gustavo; Symmetry breaking for an elliptic equation involving the fractional Laplacian.; Khayyam Publishing, Inc.; Differential and Integral Equations; 31; 1-2; 8-2018; 75-940893-4983CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.die/1509041402info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:59:51Zoai:ri.conicet.gov.ar:11336/88943instacron: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 09:59:51.893CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Symmetry breaking for an elliptic equation involving the fractional Laplacian.
title Symmetry breaking for an elliptic equation involving the fractional Laplacian.
spellingShingle Symmetry breaking for an elliptic equation involving the fractional Laplacian.
Amster, Pablo Gustavo
fractional Laplacian
symmetry breaking
Strauss inequality
embedding theorems
title_short Symmetry breaking for an elliptic equation involving the fractional Laplacian.
title_full Symmetry breaking for an elliptic equation involving the fractional Laplacian.
title_fullStr Symmetry breaking for an elliptic equation involving the fractional Laplacian.
title_full_unstemmed Symmetry breaking for an elliptic equation involving the fractional Laplacian.
title_sort Symmetry breaking for an elliptic equation involving the fractional Laplacian.
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
author_role author
dc.subject.none.fl_str_mv fractional Laplacian
symmetry breaking
Strauss inequality
embedding theorems
topic fractional Laplacian
symmetry breaking
Strauss inequality
embedding theorems
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 the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights.
Fil: Amster, Pablo Gustavo. 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
description We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights.
publishDate 2018
dc.date.none.fl_str_mv 2018-08
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/11336/88943
Amster, Pablo Gustavo; Symmetry breaking for an elliptic equation involving the fractional Laplacian.; Khayyam Publishing, Inc.; Differential and Integral Equations; 31; 1-2; 8-2018; 75-94
0893-4983
CONICET Digital
CONICET
url http://hdl.handle.net/11336/88943
identifier_str_mv Amster, Pablo Gustavo; Symmetry breaking for an elliptic equation involving the fractional Laplacian.; Khayyam Publishing, Inc.; Differential and Integral Equations; 31; 1-2; 8-2018; 75-94
0893-4983
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://projecteuclid.org/euclid.die/1509041402
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 Khayyam Publishing, Inc.
publisher.none.fl_str_mv Khayyam Publishing, Inc.
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_ 1842269606198116352
score 13.13397

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