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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 4, Pages 805–814 (Mi smj2126)  
This article is cited in 5 scientific papers (total in 5 papers)

Some conditions for the existence of the total differential

V. M. Miklyukov

Volgograd State University, Volgograd, Russia
Full-text PDF (310 kB) Citations (5)
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Abstract: We give conditions for the almost everywhere existence of the total differential of the functions of the weighted classes $\mathrm{ACL}^p_\sigma$ in a domain. The proofs rest on the technique of the weighted modulus of a family of curves.
Keywords: total differential, weighted Sobolev classes, modulus of a family of curves.
Received: 17.12.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 4, Pages 639–647
DOI: https://doi.org/10.1007/s11202-010-0065-9
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: V. M. Miklyukov, “Some conditions for the existence of the total differential”, Sibirsk. Mat. Zh., 51:4 (2010), 805–814; Siberian Math. J., 51:4 (2010), 639–647
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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