Asymptotic analysis a perturbed Robin problem in a planar domain

Paolo Musolino, Martin Dutko, Gennady Mishuris

We consider a perforated domain $\Omega (\epsilon )$ of ${\mathbb{R}}^2$ with a small hole of size $\epsilon$ and we study the behavior of the solution of a mixed Neumann-Robin problem in $\Omega (\epsilon )$ as the s…