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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 310, Pages 67–81 (Mi znsl806)  
This article is cited in 122 scientific papers (total in 122 papers)

On density of smooth functions in Sobolev–Orlich spaces

V. V. Zhikov

Vladimir State Pedagogical University
Full-text PDF (239 kB) Citations (122)
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Abstract: We study the question of density of smooth functions in Sobolev spaces of variable orders also called Sobolev–Orlich spaces. In particular, we generalize the earlier obtained logarithmic condition and give a number of examples.
Received: 23.08.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 3, Pages 285–294
DOI: https://doi.org/10.1007/s10958-005-0497-0
Bibliographic databases:
UDC: 517.97
Language: Russian
Citation: V. V. Zhikov, “On density of smooth functions in Sobolev–Orlich spaces”, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Zap. Nauchn. Sem. POMI, 310, POMI, St. Petersburg, 2004, 67–81; J. Math. Sci. (N. Y.), 132:3 (2006), 285–294
Citation in format AMSBIB
\Bibitem{Zhi04}
\by V.~V.~Zhikov
\paper On density of smooth functions in Sobolev--Orlich spaces
\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 67--81
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl806}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120185}
\zmath{https://zbmath.org/?q=an:1086.46026}
\elib{https://elibrary.ru/item.asp?id=9128687}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 3
\pages 285--294
\crossref{https://doi.org/10.1007/s10958-005-0497-0}
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    • This publication is cited in the following 122 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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