Homogenization of eigenvalue problem for
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Andrii Khrabustovskyi
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Article
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2009
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John Wiley and Sons
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English
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## Abstract We study the asymptotic behavior of the eigenvalues and the eigenfunctions of the LaplaceโBeltrami operator on a Riemannian manifold __M__^ฮต^ depending on a small parameter ฮต>0 and whose structure becomes complicated as ฮตโ0. Under a few assumptions on scales of __M__^ฮต^ we obtain the ho