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Mathematics of the USSR-Sbornik, 1980, Volume 36, Issue 3, Pages 331–349
DOI: https://doi.org/10.1070/SM1980v036n03ABEH001817 (Mi sm2311) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Imbedding theorems and compactness for spaces of Sobolev type with weights

P. I. Lizorkin, M. Otelbaev
English version PDF (966 kB) Citations (23)
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DOI: https://doi.org/10.1070/SM1980v036n03ABEH001817
Abstract: In this article weight estimates are obtained for the intermediate derivatives in spaces of functions which are $p$th power summable together with their gradient of order $l$ over a domain $\Omega$ with respect to a weight which degenerates on the boundary of $\Omega$. In particular, these estimates imply the boundedness and compactness of the corresponding imbeddings.
Bibliography: 6 titles.
Received: 14.04.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 108(150), Number 3, Pages 358–377
Bibliographic databases:
UDC: 517.518.23
MSC: Primary 46E35; Secondary 26D10
Language: English
Original paper language: Russian
Citation: P. I. Lizorkin, M. Otelbaev, “Imbedding theorems and compactness for spaces of Sobolev type with weights”, Mat. Sb. (N.S.), 108(150):3 (1979), 358–377; Math. USSR-Sb., 36:3 (1980), 331–349
Citation in format AMSBIB
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\by P.~I.~Lizorkin, M.~Otelbaev
\paper Imbedding theorems and compactness for spaces of Sobolev type with weights
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 108(150)
\issue 3
\pages 358--377
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=530316}
\zmath{https://zbmath.org/?q=an:0432.46029|0405.46025}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 36
\issue 3
\pages 331--349
\crossref{https://doi.org/10.1070/SM1980v036n03ABEH001817}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM96900004}
Linking options:
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  • https://doi.org/10.1070/SM1980v036n03ABEH001817
  • https://www.mathnet.ru/eng/sm/v150/i3/p358
    Cycle of papers
    This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:602
    Russian version PDF:200
    English version PDF:30
    References:52
     
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