We consider a Dirichlet problem for the Poisson equation in periodically perforated domain. The geometry of domain is controlled by two parameters: real number ϵ > 0, proportional to radius holes, and map ϕ, which models shape holes. So, if g denotes boundary datum f datum, we have solution each quadruple ( , ϕ ). Our aim study how depends on ), especially when very small holes narrow points...
