An optimization problem with volume constraint for a degenerate quasilinear operator
We consider the optimization problem of minimizing ∫Ω | ∇ u |p d x with a constraint on the volume of { u > 0 }. We consider a penalization problem, and we prove that for small values of the penalization parameter, the constrained volume is attained. In this way we prove that every solution u...
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2006
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00220396_v227_n1_p80_FernandezBonder |
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paperaa:paper_00220396_v227_n1_p80_FernandezBonder2023-06-12T16:43:37Z An optimization problem with volume constraint for a degenerate quasilinear operator J. Differ. Equ. 2006;227(1):80-101 Fernández Bonder, J. Martínez, S. Wolanski, N. Free boundaries Optimal design problems We consider the optimization problem of minimizing ∫Ω | ∇ u |p d x with a constraint on the volume of { u > 0 }. We consider a penalization problem, and we prove that for small values of the penalization parameter, the constrained volume is attained. In this way we prove that every solution u is locally Lipschitz continuous and that the free boundary, ∂ { u > 0 } ∩ Ω, is smooth. © 2006 Elsevier Inc. All rights reserved. Fil:Fernández Bonder, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Martínez, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wolanski, N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00220396_v227_n1_p80_FernandezBonder |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
language |
Inglés |
orig_language_str_mv |
eng |
topic |
Free boundaries Optimal design problems |
spellingShingle |
Free boundaries Optimal design problems Fernández Bonder, J. Martínez, S. Wolanski, N. An optimization problem with volume constraint for a degenerate quasilinear operator |
topic_facet |
Free boundaries Optimal design problems |
description |
We consider the optimization problem of minimizing ∫Ω | ∇ u |p d x with a constraint on the volume of { u > 0 }. We consider a penalization problem, and we prove that for small values of the penalization parameter, the constrained volume is attained. In this way we prove that every solution u is locally Lipschitz continuous and that the free boundary, ∂ { u > 0 } ∩ Ω, is smooth. © 2006 Elsevier Inc. All rights reserved. |
format |
Artículo Artículo publishedVersion |
author |
Fernández Bonder, J. Martínez, S. Wolanski, N. |
author_facet |
Fernández Bonder, J. Martínez, S. Wolanski, N. |
author_sort |
Fernández Bonder, J. |
title |
An optimization problem with volume constraint for a degenerate quasilinear operator |
title_short |
An optimization problem with volume constraint for a degenerate quasilinear operator |
title_full |
An optimization problem with volume constraint for a degenerate quasilinear operator |
title_fullStr |
An optimization problem with volume constraint for a degenerate quasilinear operator |
title_full_unstemmed |
An optimization problem with volume constraint for a degenerate quasilinear operator |
title_sort |
optimization problem with volume constraint for a degenerate quasilinear operator |
publishDate |
2006 |
url |
http://hdl.handle.net/20.500.12110/paper_00220396_v227_n1_p80_FernandezBonder |
work_keys_str_mv |
AT fernandezbonderj anoptimizationproblemwithvolumeconstraintforadegeneratequasilinearoperator AT martinezs anoptimizationproblemwithvolumeconstraintforadegeneratequasilinearoperator AT wolanskin anoptimizationproblemwithvolumeconstraintforadegeneratequasilinearoperator AT fernandezbonderj optimizationproblemwithvolumeconstraintforadegeneratequasilinearoperator AT martinezs optimizationproblemwithvolumeconstraintforadegeneratequasilinearoperator AT wolanskin optimizationproblemwithvolumeconstraintforadegeneratequasilinearoperator |
_version_ |
1769810163613564928 |