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Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds

โœ Scribed by Manfredo P. do Carmo; Qiaoling Wang; Changyu Xia


Publisher
Springer
Year
2010
Tongue
English
Weight
212 KB
Volume
189
Category
Article
ISSN
0373-3114

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## Abstract We study the asymptotic behavior of the eigenvalues and the eigenfunctions of the Laplaceโ€“Beltrami operator on a Riemannian manifold __M__^ฮต^ depending on a small parameter ฮต>0 and whose structure becomes complicated as ฮตโ†’0. Under a few assumptions on scales of __M__^ฮต^ we obtain the ho