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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 1, Pages 134–144 (Mi smj1827)  
This article is cited in 1 scientific paper (total in 1 paper)

An example of a $C^1$-smooth function whose gradient range is an arc with no tangent at any point

M. V. Korobkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (320 kB) Citations (1)
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Abstract: We construct an example of a $C^1$-smooth real function of two variables whose gradient range is an arc with no tangent at any point.
Keywords: $C^1$-smooth function, gradient range, arc, tangent.
Received: 02.02.2006
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 1, Pages 109–116
DOI: https://doi.org/10.1007/s11202-008-0010-3
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: M. V. Korobkov, “An example of a $C^1$-smooth function whose gradient range is an arc with no tangent at any point”, Sibirsk. Mat. Zh., 49:1 (2008), 134–144; Siberian Math. J., 49:1 (2008), 109–116
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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    References:54
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