Boundary Value Problems
Volume 2010 (2010), Article ID 853717, 15 pages
Research Article

Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

Department of Mathematical Sciences, Chalmers University of Technology, 41296 Gothenburg, Sweden

Received 31 July 2010; Accepted 11 November 2010

Academic Editor: Gary Lieberman

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 eigenvalue problem.