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Open Access Open Badges Research Article

Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains

Hermann Douanla

Author Affiliations

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

Boundary Value Problems 2010, 2010:853717  doi:10.1155/2010/853717

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2010/1/853717

Received:31 July 2010
Accepted:11 November 2010
Published:30 November 2010

© 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.

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