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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 310, Pages 191–212 (Mi znsl812)  
This article is cited in 6 scientific papers (total in 6 papers)

Young measures as measurable functions and applications to variational problems

M. A. Sychev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (274 kB) Citations (6)
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Abstract: It is given a systematic approach to the theory of Young measures based on the characterisation of these objects as measurable functions with values of a compact metric space with metric having an integral form. The advantages of this approach to the investigation of the behaviour of integral functionals on weakly convergin sequences are explained.
Received: 18.05.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 3, Pages 359–370
DOI: https://doi.org/10.1007/s10958-005-0503-6
Bibliographic databases:
UDC: 517
Language: Russian
Citation: M. A. Sychev, “Young measures as measurable functions and applications to variational problems”, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Zap. Nauchn. Sem. POMI, 310, POMI, St. Petersburg, 2004, 191–212; J. Math. Sci. (N. Y.), 132:3 (2006), 359–370
Citation in format AMSBIB
\Bibitem{Syc04}
\by M.~A.~Sychev
\paper Young measures as measurable functions and applications to variational problems
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 310
\pages 191--212
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl812}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120192}
\zmath{https://zbmath.org/?q=an:1099.49013}
\elib{https://elibrary.ru/item.asp?id=9128693}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 3
\pages 359--370
\crossref{https://doi.org/10.1007/s10958-005-0503-6}
\elib{https://elibrary.ru/item.asp?id=13516545}
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  • https://www.mathnet.ru/eng/znsl/v310/p191
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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