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Mathematics of the USSR-Izvestiya, 1985, Volume 24, Issue 2, Pages 321–345
DOI: https://doi.org/10.1070/IM1985v024n02ABEH001237 (Mi im1449) 		 
This article is cited in 88 scientific papers (total in 88 papers)

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
English version PDF (918 kB) Citations (88)
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DOI: https://doi.org/10.1070/IM1985v024n02ABEH001237
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.
Received: 23.11.1982
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 2, Pages 347–371
Bibliographic databases:
UDC: 517.9
MSC: 35J05, 35P15
Language: English
Original paper language: Russian
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”, Izv. Akad. Nauk SSSR Ser. Mat., 48:2 (1984), 347–371; Math. USSR-Izv., 24:2 (1985), 321–345
Citation in format AMSBIB
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\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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 2
\pages 347--371
\mathnet{http://mi.mathnet.ru/im1449}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=740795}
\zmath{https://zbmath.org/?q=an:0566.35031}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 24
\issue 2
\pages 321--345
\crossref{https://doi.org/10.1070/IM1985v024n02ABEH001237}
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  • https://doi.org/10.1070/IM1985v024n02ABEH001237
  • https://www.mathnet.ru/eng/im/v48/i2/p347
    • This publication is cited in the following 88 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:985
    Russian version PDF:386
    English version PDF:50
    References:80
    First page:3
     
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