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Abstract:

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.

Registro:

Documento: Artículo
Título:An optimization problem with volume constraint in Orlicz spaces
Autor:Martínez, S.
Filiación:Departamento de Matemática, FCEyN, UBA, 1428 Buenos Aires, Argentina
Palabras clave:Free boundaries; Optimal design problems; Orlicz spaces
Año:2008
Volumen:340
Número:2
Página de inicio:1407
Página de fin:1421
DOI: http://dx.doi.org/10.1016/j.jmaa.2007.09.061
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v340_n2_p1407_Martinez.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v340_n2_p1407_Martinez

Referencias:

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Citas:

---------- APA ----------
(2008) . An optimization problem with volume constraint in Orlicz spaces. Journal of Mathematical Analysis and Applications, 340(2), 1407-1421.
http://dx.doi.org/10.1016/j.jmaa.2007.09.061
---------- CHICAGO ----------
Martínez, S. "An optimization problem with volume constraint in Orlicz spaces" . Journal of Mathematical Analysis and Applications 340, no. 2 (2008) : 1407-1421.
http://dx.doi.org/10.1016/j.jmaa.2007.09.061
---------- MLA ----------
Martínez, S. "An optimization problem with volume constraint in Orlicz spaces" . Journal of Mathematical Analysis and Applications, vol. 340, no. 2, 2008, pp. 1407-1421.
http://dx.doi.org/10.1016/j.jmaa.2007.09.061
---------- VANCOUVER ----------
Martínez, S. An optimization problem with volume constraint in Orlicz spaces. J. Math. Anal. Appl. 2008;340(2):1407-1421.
http://dx.doi.org/10.1016/j.jmaa.2007.09.061