Geodesic
Asymptotics of Eigenvalues of the Two-Dimensional Dirichlet Boundary-Value Problem for the Lam\'e Operator in a Domain with a Small Hole
Matematičeskie zametki, Tome 93 (2013) no. 4, pp. 537-548.

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The Dirichlet boundary-value problem for the eigenvalues of the Lamé operator in a two-dimensional bounded domain with a small hole is studied. The asymptotics of the eigenvalue of this boundary-value problem is constructed and justified up to the power of the parameter defining the diameter of the hole.
Keywords: Dirichlet boundary-value problem, Lamé operator, Fredholm alternative, holomorphic function, asymptotics of eigenvalues, Bessel function. 
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D. B. Davletov. Asymptotics of Eigenvalues of the Two-Dimensional Dirichlet Boundary-Value Problem for the Lam\'e Operator in a Domain with a Small Hole. Matematičeskie zametki, Tome 93 (2013) no. 4, pp. 537-548. http://geodesic.mathdoc.fr/item/MZM_2013_93_4_a4/

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