Let n⩾ 3. Let Ωi and Ωo be open bounded connected subsets of Rn containing the origin.
Let ϵ0> 0 be such that Ωo contains the closure of ϵΩi for all ϵ∈]− ϵ0, ϵ0 [. Then, for a fixed
ϵ∈]− ϵ0, ϵ0 [∖{0} we consider a Dirichlet problem for the Laplace operator in the
perforated domain Ωo∖ ϵΩi. We denote by uϵ the corresponding solution. If p∈ Ωo and p≠
0, then we know that under suitable regularity assumptions there exist ϵp> 0 and a real
analytic operator Up from]− ϵp, ϵp [to R such that uϵ (p)= Up [ϵ] for all ϵ∈] 0, ϵp [. Thus it …

Let n\ge 3. Let\Omega^ i and\Omega^ o be open bounded connected subsets of R^ n
containing the origin. Let\epsilon_0> 0 be such that\Omega^ o contains the closure
of\epsilon\Omega^ i for all\epsilon\in]-\epsilon_0,\epsilon_0 [. Then, for a fixed\epsilon\in]-
\epsilon_0,\epsilon_0 [\{0} we consider a Dirichlet problem for the Laplace operator in the
perforated domain\Omega^ o\\epsilon\Omega^ i. We denote by u_\epsilon the
corresponding solution. If p\in\Omega^ o and p\neq 0, then we know that under suitable …