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Asymptotic analysis of the eigenvalues of an elliptic problem in an anisotropic thin multidomain

Published online by Cambridge University Press:  15 July 2011

Antonio Gaudiello  and
Ali Sili
Antonio Gaudiello
Affiliation:
DAEIMI, Università degli Studi di Cassino, via G. Di Biasio 43, 03043 Cassino, Italy ([email protected])
Ali Sili
Affiliation:
Département de Mathématiques, Université du Sud Toulon-Var, BP 20132, 83957 La Garde cedex, France and LATP, UMR 6632, Université de Provence, 39 rue F. Joliot-Curie, 13453 Marseille cedex 13, France ([email protected])
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Abstract

We study, via an asymptotic analysis, an elliptic eigenvalue problem in a 1D–1D multidomain and in a 1D–2D multidomain filled with anisotropic material. The corresponding isotropic cases were considered in a previous work by Gaudiello and Sili.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 4 , August 2011 , pp. 739 - 754
Copyright
Copyright © Royal Society of Edinburgh 2011

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