  We study the asymptotic behavior of the solutions of a boundary value problem
for the Laplace equation in a perforated domain in $\mathbb{R}^n$, $n\geq 3$,
with a (nonlinear) Robin boundary condition on the boundary of the small hole.
The problem we wish to consider degenerates under three aspects: in the limit
case the Robin boundary condition may degenerate into a Neumann boundary
condition, the Robin datum may tend to infinity, and the size $\epsilon$ of the
small hole where we consider the Robin condition collapses to $0$. We study how
these three singularities interact and affect the asymptotic behavior as
$\epsilon$ tends to $0$, and we represent the solution and its energy integral
in terms of real analytic maps and known functions of the singular perturbation
parameters.
