Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian

Autores
Lederman, Claudia Beatriz; Wolanski, Noemi Irene
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we study a one phase free boundary problem for the p (x)-Laplacian with non-zero right hand side. We prove that the free boundary of a weak solution is a C1,α surface in a neighborhood of every "flat" free boundary point. We also obtain further regularity results on the free boundary, under further regularity assumptions on the data. We apply these results to limit functions of an inhomogeneous singular perturbation problem for the p (x)-Laplacian that we studied in [25].
Fil: Lederman, Claudia Beatriz. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Wolanski, Noemi Irene. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
FREE BOUNDARY PROBLEM
INHOMOGENEOUS PROBLEM
REGULARITY OF THE FREE BOUNDARY
SINGULAR PERTURBATION
VARIABLE EXPONENT SPACES
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:11336/63022
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/63022
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-LaplacianLederman, Claudia BeatrizWolanski, Noemi IreneFREE BOUNDARY PROBLEMINHOMOGENEOUS PROBLEMREGULARITY OF THE FREE BOUNDARYSINGULAR PERTURBATIONVARIABLE EXPONENT SPACEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we study a one phase free boundary problem for the p (x)-Laplacian with non-zero right hand side. We prove that the free boundary of a weak solution is a C1,α surface in a neighborhood of every "flat" free boundary point. We also obtain further regularity results on the free boundary, under further regularity assumptions on the data. We apply these results to limit functions of an inhomogeneous singular perturbation problem for the p (x)-Laplacian that we studied in [25].Fil: Lederman, Claudia Beatriz. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Wolanski, Noemi Irene. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaEuropean Mathematical Society2017-04info: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/11336/63022Lederman, Claudia Beatriz; Wolanski, Noemi Irene; Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian; European Mathematical Society; Interfaces And Free Boundaries; 19; 2; 4-2017; 201-2411463-9963CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4171/IFB/381info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=19&iss=2&rank=3info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:13:20Zoai:ri.conicet.gov.ar:11336/63022instacron: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:34982025-10-22 11:13:20.942CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
title Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
spellingShingle Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
Lederman, Claudia Beatriz
FREE BOUNDARY PROBLEM
INHOMOGENEOUS PROBLEM
REGULARITY OF THE FREE BOUNDARY
SINGULAR PERTURBATION
VARIABLE EXPONENT SPACES
title_short Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
title_full Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
title_fullStr Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
title_full_unstemmed Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
title_sort Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
dc.creator.none.fl_str_mv Lederman, Claudia Beatriz
Wolanski, Noemi Irene
author Lederman, Claudia Beatriz
author_facet Lederman, Claudia Beatriz
Wolanski, Noemi Irene
author_role author
author2 Wolanski, Noemi Irene
author2_role author
dc.subject.none.fl_str_mv FREE BOUNDARY PROBLEM
INHOMOGENEOUS PROBLEM
REGULARITY OF THE FREE BOUNDARY
SINGULAR PERTURBATION
VARIABLE EXPONENT SPACES
topic FREE BOUNDARY PROBLEM
INHOMOGENEOUS PROBLEM
REGULARITY OF THE FREE BOUNDARY
SINGULAR PERTURBATION
VARIABLE EXPONENT SPACES
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 a one phase free boundary problem for the p (x)-Laplacian with non-zero right hand side. We prove that the free boundary of a weak solution is a C1,α surface in a neighborhood of every "flat" free boundary point. We also obtain further regularity results on the free boundary, under further regularity assumptions on the data. We apply these results to limit functions of an inhomogeneous singular perturbation problem for the p (x)-Laplacian that we studied in [25].
Fil: Lederman, Claudia Beatriz. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Wolanski, Noemi Irene. 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 a one phase free boundary problem for the p (x)-Laplacian with non-zero right hand side. We prove that the free boundary of a weak solution is a C1,α surface in a neighborhood of every "flat" free boundary point. We also obtain further regularity results on the free boundary, under further regularity assumptions on the data. We apply these results to limit functions of an inhomogeneous singular perturbation problem for the p (x)-Laplacian that we studied in [25].
publishDate 2017
dc.date.none.fl_str_mv 2017-04
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/11336/63022
Lederman, Claudia Beatriz; Wolanski, Noemi Irene; Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian; European Mathematical Society; Interfaces And Free Boundaries; 19; 2; 4-2017; 201-241
1463-9963
CONICET Digital
CONICET
url http://hdl.handle.net/11336/63022
identifier_str_mv Lederman, Claudia Beatriz; Wolanski, Noemi Irene; Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian; European Mathematical Society; Interfaces And Free Boundaries; 19; 2; 4-2017; 201-241
1463-9963
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/IFB/381
info:eu-repo/semantics/altIdentifier/url/http://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=19&iss=2&rank=3
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 European Mathematical Society
publisher.none.fl_str_mv European 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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score 12.982451

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