Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

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Abstract By means of the two-scale convergence method, we investigate the asymptotic behavior of eigenvalues and eigenfunctions sticklettes candy of Stekloff 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 justified that the state park 59fifty fitted natural local problem is not an eigenvalue problem.