Department of Mathematical Sciences, Chalmers University of Technology, 41296 Gothenburg, Sweden
Copyright © 2010 Hermann Douanla. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
By means of the two-scale convergence method, we investigate the asymptotic behavior
of eigenvalues and eigenfunctions 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 natural local problem is not an