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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/63022
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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 Técnicas2025-09-29T09:44:31Zoai: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:34982025-09-29 09:44:31.931CONICET 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) |
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CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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1844613401575161856 |
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13.070432 |