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.
Citation:
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”, Math. USSR-Izv., 24:2 (1985), 321–345
\Bibitem{MazNazPla84}
\by V.~G.~Maz'ya, S.~A.~Nazarov, B.~A.~Plamenevskii
\paper Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes
\jour Math. USSR-Izv.
\yr 1985
\vol 24
\issue 2
\pages 321--345
\mathnet{http://mi.mathnet.ru/eng/im1449}
\crossref{https://doi.org/10.1070/IM1985v024n02ABEH001237}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=740795}
\zmath{https://zbmath.org/?q=an:0566.35031}
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