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Fernández Bonder, J.; Orive, R.; Rossi, J.D. "The best Sobolev trace constant in a domain with oscillating boundary" (2007) Nonlinear Analysis, Theory, Methods and Applications. 67(4):1173-1180
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Abstract:

In this paper we study homogenization problems for the best constant for the Sobolev trace embedding W1, p (Ω) {right arrow, hooked} Lq (∂ Ω) in a bounded smooth domain when the boundary is perturbed by adding an oscillation. We find that there exists a critical size of the amplitude of the oscillations for which the limit problem has a weight on the boundary. For sizes larger than critical the best trace constant goes to zero and for sizes smaller than critical it converges to the best constant in the domain without perturbations. © 2006 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:The best Sobolev trace constant in a domain with oscillating boundary
Autor:Fernández Bonder, J.; Orive, R.; Rossi, J.D.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellon I, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Departamento de Matemáticas, Facultad de Ciencias, Universidad Autonoma de Madrid, Crta. Colmenar Viejo km. 15, 28049 Madrid, Spain
Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, Madrid, Spain
Palabras clave:Homogenization; Sobolev trace embedding; Steklov eigenvalues; Boundary conditions; Convergence of numerical methods; Eigenvalues and eigenfunctions; Perturbation techniques; Problem solving; Homogenization problems; Sobolev trace embedding; Steklov eigenvalues; Domain decomposition methods
Año:2007
Volumen:67
Número:4
Página de inicio:1173
Página de fin:1180
DOI: http://dx.doi.org/10.1016/j.na.2006.07.005
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v67_n4_p1173_FernandezBonder

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Citas:

---------- APA ----------
Fernández Bonder, J., Orive, R. & Rossi, J.D. (2007) . The best Sobolev trace constant in a domain with oscillating boundary. Nonlinear Analysis, Theory, Methods and Applications, 67(4), 1173-1180.
http://dx.doi.org/10.1016/j.na.2006.07.005
---------- CHICAGO ----------
Fernández Bonder, J., Orive, R., Rossi, J.D. "The best Sobolev trace constant in a domain with oscillating boundary" . Nonlinear Analysis, Theory, Methods and Applications 67, no. 4 (2007) : 1173-1180.
http://dx.doi.org/10.1016/j.na.2006.07.005
---------- MLA ----------
Fernández Bonder, J., Orive, R., Rossi, J.D. "The best Sobolev trace constant in a domain with oscillating boundary" . Nonlinear Analysis, Theory, Methods and Applications, vol. 67, no. 4, 2007, pp. 1173-1180.
http://dx.doi.org/10.1016/j.na.2006.07.005
---------- VANCOUVER ----------
Fernández Bonder, J., Orive, R., Rossi, J.D. The best Sobolev trace constant in a domain with oscillating boundary. Nonlinear Anal Theory Methods Appl. 2007;67(4):1173-1180.
http://dx.doi.org/10.1016/j.na.2006.07.005