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 menthol kangvape of Stekloff eigenvalue problems in perforated domains.We prove a concise and precise homogenization result including convergence of gradients of eigenfunctions which milwaukee 49-22-5603 improves the understanding of the asymptotic behavior of eigenfunctions.It is also justified that the natural local problem is not an eigenvalue problem.