| Issue |
ESAIM: COCV
Volume 15, Number 1, January-March 2009
|
|
|---|---|---|
| Page(s) | 49 - 67 | |
| DOI | https://doi.org/10.1051/cocv:2008021 | |
| Published online | 23 January 2009 | |
Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
1
Dpto. de Matemáticas,
Escuela Politécnica, Avenida de la
Universidad s/n, 10071 Cáceres, Spain. ccalvo@unex.es
2
Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Fac. de Matemáticas,
C. Tarfia s/n, 41012 Sevilla, Spain. jcasadod@us.es; mllaynez@us.es
Received:
15
March
2007
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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