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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 4, Pages 855–870 (Mi smj1110)  
This article is cited in 36 scientific papers (total in 36 papers)

Sobolev-type classes of functions with values in a metric space. II

Yu. G. Reshetnyak

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (256 kB) Citations (36)
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Abstract: We prove equivalence of the definitions by the author and by Korevaar and Schoen of the Sobolev classes of mappings of a domain of an arithmetic $n$-dimensional space to a metric space.
Keywords: Sobolev function class, weak derivative, energy functional, function with the Lipschitz condition, separable complete metric space, function with values in metric spaces.
Received: 24.12.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 4, Pages 709–721
DOI: https://doi.org/10.1023/B:SIMJ.0000035834.03736.b6
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: Yu. G. Reshetnyak, “Sobolev-type classes of functions with values in a metric space. II”, Sibirsk. Mat. Zh., 45:4 (2004), 855–870; Siberian Math. J., 45:4 (2004), 709–721
Citation in format AMSBIB
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\pages 855--870
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 4
\pages 709--721
\crossref{https://doi.org/10.1023/B:SIMJ.0000035834.03736.b6}
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  • https://www.mathnet.ru/eng/smj/v45/i4/p855
    Cycle of papers
    This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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