Martínez, S.

En:

J. Math. Anal. Appl. 2008;340(2):1407-1421

Fecha:

2008

Formato:

application/pdf

Tipo de documento:

info:eu-repo/semantics/article
info:ar-repo/semantics/artículo
info:eu-repo/semantics/publishedVersion

Descriptores:

Free boundaries - Optimal design problems - Orlicz spaces

Descripción:

We consider the optimization problem of minimizing ∫Ω G (| ∇ u |) d x in the class of functions W1, G (Ω), with a constraint on the volume of {u > 0}. The conditions on the function G allow for a different behavior at 0 and at ∞. 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. © 2007 Elsevier Inc. All rights reserved.
Fil:Martínez, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.

Identificador(es):

http://hdl.handle.net/20.500.12110/paper_0022247X_v340_n2_p1407_Martinez

Derechos:

info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar

Descargar texto: paper_0022247X_v340_n2_p1407_Martinez.oai

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Cita bibliográfica:

Martínez, S. (2008). An optimization problem with volume constraint in Orlicz spaces (info:eu-repo/semantics/article). [consultado: ] Disponible en el Repositorio Digital Institucional de la Universidad de Buenos Aires: <http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&cl=CL1&d=paper_0022247X_v340_n2_p1407_Martinez_oai>