The work focuses on the Γ-convergence problem and the convergence of minimizers for a functional defined in a periodic perforated medium andcombining the bulk (volume distributed) energy and the surfaceenergy distributed on the perforation boundary. It is assumed that the mean valueof surface energy at each level set of test function is equal tozero.Under natural coercivity and p-growth assumptions on the bulk energy, and the assumption that the surface energy satisfies p-growth upper bound, weshow that the studied functional has a nontrivial Γ-limit andthe corresponding variational problem admitshomogenization.
