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Mathematics of the USSR-Sbornik, 1972, Volume 17, Issue 2, Pages 257–268
DOI: https://doi.org/10.1070/SM1972v017n02ABEH001503 (Mi sm3157) 		 
This article is cited in 28 scientific papers (total in 28 papers)

On the correctness of boundary value problems in the mechanics of continuous media

P. P. Mosolov, V. P. Myasnikov
English version PDF (671 kB) Citations (28)
References:
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DOI: https://doi.org/10.1070/SM1972v017n02ABEH001503
Abstract: The paper considers the properties of vector analogs of the Sobolev spaces, $\mathbf W_p^1$, which appear in the study of various models of continuous media. Korn's inequality, proved in the paper, makes it possible to reduce the problem of compactness of the imbedding operators in these spaces to the scalar case and, consequently, to apply the scalar imbedding theorem of S. L. Sobolev. Heretofore, Korn's inequality in the general form was known only for $p=2$.
Bibliography: 18 titles.
Received: 13.04.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 88(130), Number 2(6), Pages 256–267
Bibliographic databases:
UDC: 517.946.9
MSC: Primary 46E35, 49A25, 49A30; Secondary 73B99
Language: English
Original paper language: Russian
Citation: P. P. Mosolov, V. P. Myasnikov, “On the correctness of boundary value problems in the mechanics of continuous media”, Mat. Sb. (N.S.), 88(130):2(6) (1972), 256–267; Math. USSR-Sb., 17:2 (1972), 257–268
Citation in format AMSBIB
\Bibitem{MosMya72}
\by P.~P.~Mosolov, V.~P.~Myasnikov
\paper On the correctness of boundary value problems in the mechanics of continuous media
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 88(130)
\issue 2(6)
\pages 256--267
\mathnet{http://mi.mathnet.ru/sm3157}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=300079}
\zmath{https://zbmath.org/?q=an:0249.73007}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 17
\issue 2
\pages 257--268
\crossref{https://doi.org/10.1070/SM1972v017n02ABEH001503}
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  • https://www.mathnet.ru/eng/sm/v130/i2/p256
    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:822
    Russian version PDF:181
    English version PDF:18
    References:62
    First page:1
     
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