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Two-scale convergence for nonlinear Dirichlet problems in perforated domains

Published online by Cambridge University Press:  11 July 2007

J. Casado-Díaz
Affiliation:
Departamento de Ecuaciones diferenciales y Anáalisis Numéerico, Universidad de Sevilla, Facultad de Matemáaticas, C. Tarfía s/n, 41012 Sevilla, Spain
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Abstract

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The aim of the present paper is to adapt the method of two-scale convergence to the homogenization of a pseudomonotone Dirichlet problem in perforated domains with periodic structure. The limit problem and a corrector result are obtained.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2000