An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth

Autores
Lederman, Claudia Beatriz; Wolanski, Noemi Irene
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and regularity of solution to the original problem: every optimal configuration is a solution to a one phase free boundary problem-for an operator with nonstandard growth and non-zero right hand side-and the free boundary is a smooth surface.
Fil: Lederman, Claudia Beatriz. 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
Fil: Wolanski, Noemi Irene. 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
FREE BOUNDARY PROBLEM
INHOMOGENEOUS PROBLEM
MINIMIZATION PROBLEM
NONSTANDARD GROWTH
OPTIMAL DESIGN
REGULARITY OF THE FREE BOUNDARY
SHAPE OPTIMIZATION
VARIABLE EXPONENT SPACES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/166512
Acceder
id CONICETDig_caa03872e9363b20098d5fea75c9efe4
oai_identifier_str oai:ri.conicet.gov.ar:11336/166512
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growthLederman, Claudia BeatrizWolanski, Noemi IreneFREE BOUNDARY PROBLEMINHOMOGENEOUS PROBLEMMINIMIZATION PROBLEMNONSTANDARD GROWTHOPTIMAL DESIGNREGULARITY OF THE FREE BOUNDARYSHAPE OPTIMIZATIONVARIABLE EXPONENT SPACEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and regularity of solution to the original problem: every optimal configuration is a solution to a one phase free boundary problem-for an operator with nonstandard growth and non-zero right hand side-and the free boundary is a smooth surface.Fil: Lederman, Claudia Beatriz. 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; ArgentinaFil: Wolanski, Noemi Irene. 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; ArgentinaAmerican Institute of Mathematical Sciences2021-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/166512Lederman, Claudia Beatriz; Wolanski, Noemi Irene; An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 41; 6; 6-2021; 2907-29461078-09471553-5231CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3934/dcds.2020391info:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org/article/doi/10.3934/dcds.2020391info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:19:55Zoai:ri.conicet.gov.ar:11336/166512instacron: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 10:19:55.966CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
title An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
spellingShingle An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
Lederman, Claudia Beatriz
FREE BOUNDARY PROBLEM
INHOMOGENEOUS PROBLEM
MINIMIZATION PROBLEM
NONSTANDARD GROWTH
OPTIMAL DESIGN
REGULARITY OF THE FREE BOUNDARY
SHAPE OPTIMIZATION
VARIABLE EXPONENT SPACES
title_short An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
title_full An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
title_fullStr An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
title_full_unstemmed An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
title_sort An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
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
MINIMIZATION PROBLEM
NONSTANDARD GROWTH
OPTIMAL DESIGN
REGULARITY OF THE FREE BOUNDARY
SHAPE OPTIMIZATION
VARIABLE EXPONENT SPACES
topic FREE BOUNDARY PROBLEM
INHOMOGENEOUS PROBLEM
MINIMIZATION PROBLEM
NONSTANDARD GROWTH
OPTIMAL DESIGN
REGULARITY OF THE FREE BOUNDARY
SHAPE OPTIMIZATION
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 We consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and regularity of solution to the original problem: every optimal configuration is a solution to a one phase free boundary problem-for an operator with nonstandard growth and non-zero right hand side-and the free boundary is a smooth surface.
Fil: Lederman, Claudia Beatriz. 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
Fil: Wolanski, Noemi Irene. 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 consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and regularity of solution to the original problem: every optimal configuration is a solution to a one phase free boundary problem-for an operator with nonstandard growth and non-zero right hand side-and the free boundary is a smooth surface.
publishDate 2021
dc.date.none.fl_str_mv 2021-06
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/11336/166512
Lederman, Claudia Beatriz; Wolanski, Noemi Irene; An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 41; 6; 6-2021; 2907-2946
1078-0947
1553-5231
CONICET Digital
CONICET
url http://hdl.handle.net/11336/166512
identifier_str_mv Lederman, Claudia Beatriz; Wolanski, Noemi Irene; An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 41; 6; 6-2021; 2907-2946
1078-0947
1553-5231
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3934/dcds.2020391
info:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org/article/doi/10.3934/dcds.2020391
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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_ 1844614175481921536
score 13.070432

Publicaciones similares