Abstract
In this paper we study the asymptotic behaviour of the Laplace equation in a periodically perforated domain of Rn, where we assume that the period is e and the size of the holes is of the same order of greatness. An homogeneous Dirichlet condition is given on the whole exterior boundary of the domain and on a flat portion of diameter \( \varepsilon ^{ \frac{n}{n-2}} \) if \( n>2 \) (\( \exp (-\varepsilon ^{-2}) \), if n=2) of the boundary of every hole, while we take an homogeneous Neumann condition elsewhere.
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