Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

By means of the two-scale convergence method, we investigate the asymptotic behavior ofeigenvalues and eigenfunctions of Stekloff eigenvalue problems in perforated domains. We provea concise and precise homogenization result including convergence of gradients of eigenfunctionswhich improves the understanding of the asymptotic behavior of eigenfunctions. It is also justifiedthat the natural local problem is not an eigenvalue problem