V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii, “Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes”, Izv. Akad. Nauk SSSR Ser. Mat., 1984, Volume 48, Issue 2,Pages <nobr>347

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Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes

V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii

Abstract: Complete asymptotic expansions are found for the first eigenvalues and eigenfunctions of classical problems for the Laplace operator in two- and three-dimensional domains with small holes.
Bibliography: 17 titles.

UDC: 517.9

MSC: 35J05, 35P15

Received: 23.11.1982