Published Paper
Inserted: 24 may 2002
Last Updated: 26 aug 2004
Journal: Asymptotic Analysis
Volume: 39
Number: 2
Pages: 113-145
Year: 2004
Abstract:
We consider variational problems defined on domains `weakly' connected through a separation hyperplane (`sieve plane') by an $\e$-periodically distributed `contact zone'. We study the asymptotic behaviour as $\e$ tends to $0$ of integral functionals in such domains in the nonlinear and vector-valued case, showing that the asymptotic memory of the sieve is described by a nonlinear `capacitary-type' formula. In particular we treat the case when the integral energies on both sides of the sieve plane satisfy different growth conditions. We also study the case of thin films, with flat profile and thickness $\e$, connected by the same sieve plane.
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