The obstacle problem for the infinity fractional laplacian

Given g an α-H¨older continuous function defined on the boundary of a bounded domain Ω and given ψ a continuous obstacle defined in Ω, in this article, we find u an α-H¨older extension of g in Ω with u ≥ ψ. This function u minimizes the α-H¨older semi-norm of all possible extensions with these prope...

Full description

Bibliographic Details
Authors: Moreno Mérida, Lourdes, Vidal, Raúl Emilio
Format: article
Status:Published version
Publication Date:2016
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/58448
Online Access:http://hdl.handle.net/11336/58448
Access Level:Open access
Keyword:INFINITY FRACTIONAL LAPLACE OPERATOR
VISCOSITY SOLUTIONS
OBSTACLE PROBLEM
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
id AR_7d3fdc09971dfb8e6873d1e24bf6a2b3
oai_identifier_str oai:ri.conicet.gov.ar:11336/58448
network_acronym_str AR
network_name_str Argentina
repository_id_str
spelling The obstacle problem for the infinity fractional laplacianMoreno Mérida, LourdesVidal, Raúl EmilioINFINITY FRACTIONAL LAPLACE OPERATORVISCOSITY SOLUTIONSOBSTACLE PROBLEMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Given g an α-H¨older continuous function defined on the boundary of a bounded domain Ω and given ψ a continuous obstacle defined in Ω, in this article, we find u an α-H¨older extension of g in Ω with u ≥ ψ. This function u minimizes the α-H¨older semi-norm of all possible extensions with these properties and it is a viscosity solution of the associated obstacle problem for the infinity fractional Laplace operator.Fil: Moreno Mérida, Lourdes. Universidad de Granada; EspañaFil: Vidal, Raúl Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaSpringer2016-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/58448Moreno Mérida, Lourdes; Vidal, Raúl Emilio; The obstacle problem for the infinity fractional laplacian; Springer; Rendiconti del Circolo Matematico di Palermo; 67; 11-2016; 7-150009-725XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s12215-016-0286-2info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs12215-016-0286-2info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:32:37Zoai:ri.conicet.gov.ar:11336/58448instacron: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:34982024-05-08 13:32:37.704CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The obstacle problem for the infinity fractional laplacian
title The obstacle problem for the infinity fractional laplacian
spellingShingle The obstacle problem for the infinity fractional laplacian
Moreno Mérida, Lourdes
INFINITY FRACTIONAL LAPLACE OPERATOR
VISCOSITY SOLUTIONS
OBSTACLE PROBLEM
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short The obstacle problem for the infinity fractional laplacian
title_full The obstacle problem for the infinity fractional laplacian
title_fullStr The obstacle problem for the infinity fractional laplacian
title_full_unstemmed The obstacle problem for the infinity fractional laplacian
title_sort The obstacle problem for the infinity fractional laplacian
dc.creator.none.fl_str_mv Moreno Mérida, Lourdes
Vidal, Raúl Emilio
author Moreno Mérida, Lourdes
author_facet Moreno Mérida, Lourdes
Vidal, Raúl Emilio
author_role author
author2 Vidal, Raúl Emilio
author2_role author
dc.subject.none.fl_str_mv INFINITY FRACTIONAL LAPLACE OPERATOR
VISCOSITY SOLUTIONS
OBSTACLE PROBLEM
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic INFINITY FRACTIONAL LAPLACE OPERATOR
VISCOSITY SOLUTIONS
OBSTACLE PROBLEM
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description Given g an α-H¨older continuous function defined on the boundary of a bounded domain Ω and given ψ a continuous obstacle defined in Ω, in this article, we find u an α-H¨older extension of g in Ω with u ≥ ψ. This function u minimizes the α-H¨older semi-norm of all possible extensions with these properties and it is a viscosity solution of the associated obstacle problem for the infinity fractional Laplace operator.
publishDate 2016
dc.date.none.fl_str_mv 2016-11
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/11336/58448
Moreno Mérida, Lourdes; Vidal, Raúl Emilio; The obstacle problem for the infinity fractional laplacian; Springer; Rendiconti del Circolo Matematico di Palermo; 67; 11-2016; 7-15
0009-725X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/58448
identifier_str_mv Moreno Mérida, Lourdes; Vidal, Raúl Emilio; The obstacle problem for the infinity fractional laplacian; Springer; Rendiconti del Circolo Matematico di Palermo; 67; 11-2016; 7-15
0009-725X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s12215-016-0286-2
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs12215-016-0286-2
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 Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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_ 1799194605036503040
score 15,811543

Similar Items