Skip to main content
  • Research Article
  • Open access
  • Published:

Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains


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.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations


Corresponding author

Correspondence to Hermann Douanla.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Douanla, H. Two-Scale Convergence of Stekloff Eigenvalue Problems in Perforated Domains. Bound Value Probl 2010, 853717 (2010).

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: