Volume 15, Number 1, January-March 2009
|Page(s)||49 - 67|
|Published online||23 January 2009|
Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
Dpto. de Matemáticas,
Escuela Politécnica, Avenida de la
Universidad s/n, 10071 Cáceres, Spain. firstname.lastname@example.org
2 Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Fac. de Matemáticas, C. Tarfia s/n, 41012 Sevilla, Spain. email@example.com; firstname.lastname@example.org
Revised: 10 April 2007
Revised: 26 June 2007
For a fixed bounded open set , a sequence of open sets and a sequence of sets , we study the asymptotic behavior of the solution of a nonlinear elliptic system posed on , satisfying Neumann boundary conditions on and Dirichlet boundary conditions on . We obtain a representation of the limit problem which is stable by homogenization and we prove that this representation depends on and locally.
Mathematics Subject Classification: 35B40
Key words: Homogenization / varying domains / nonlinear problems
© EDP Sciences, SMAI, 2008
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