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Abstract:

In this paper we study the regularity properties of a free boundary problem arising in the optimization of the best Sobolev trace constant in the immersion H1(Ω) → Lq(∂Ω) for functions that vanish in a subset of Ω. This problem is also related to a minimization problem for Steklov eigenvalues. © 2005 Society for Industrial and Applied Mathematics.

Registro:

Documento: Artículo
Título:Regularity of the free boundary in an optimization problem related to the best sobolev trace constant
Autor:Bonder, J.F.; Rossi, J.D.; Wolanski, N.
Filiación:Departamento de Matemática, FCEyN, UBA, (1428) Buenos Aires, Argentina
Consejo Superior de Investigaciones Científicas (CSIC), Serrano 117, Madrid, Spain
Palabras clave:Eigenvalue optimization problems; Free boundaries; Sobolev trace constant; Eigenvalues and eigenfunctions; Mathematical models; Optimization; Problem solving; Theorem proving; Eigenvalue optimization problems; Free boundaries; Sobolev trace constant; Boundary value problems
Año:2006
Volumen:44
Número:5
Página de inicio:1614
Página de fin:1635
DOI: http://dx.doi.org/10.1137/040613615
Título revista:SIAM Journal on Control and Optimization
Título revista abreviado:SIAM J Control Optim
ISSN:03630129
CODEN:SJCOD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03630129_v44_n5_p1614_Bonder

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Citas:

---------- APA ----------
Bonder, J.F., Rossi, J.D. & Wolanski, N. (2006) . Regularity of the free boundary in an optimization problem related to the best sobolev trace constant. SIAM Journal on Control and Optimization, 44(5), 1614-1635.
http://dx.doi.org/10.1137/040613615
---------- CHICAGO ----------
Bonder, J.F., Rossi, J.D., Wolanski, N. "Regularity of the free boundary in an optimization problem related to the best sobolev trace constant" . SIAM Journal on Control and Optimization 44, no. 5 (2006) : 1614-1635.
http://dx.doi.org/10.1137/040613615
---------- MLA ----------
Bonder, J.F., Rossi, J.D., Wolanski, N. "Regularity of the free boundary in an optimization problem related to the best sobolev trace constant" . SIAM Journal on Control and Optimization, vol. 44, no. 5, 2006, pp. 1614-1635.
http://dx.doi.org/10.1137/040613615
---------- VANCOUVER ----------
Bonder, J.F., Rossi, J.D., Wolanski, N. Regularity of the free boundary in an optimization problem related to the best sobolev trace constant. SIAM J Control Optim. 2006;44(5):1614-1635.
http://dx.doi.org/10.1137/040613615