Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

Abstract By means of the two-scale convergence method, we investigate the asymptotic behavior of eigenvalues and eigenfunctions of Stekloff Traditional Art eigenvalue problems in perforated domains.We prove a concise and precise homogenization result including convergence of gradients of eigenfunctions which improves the understanding of the asymptotic behavior of eigenfunctions.It is also TIGHTS justified that the natural local problem is not an eigenvalue problem.