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This article is cited in 1 scientific paper (total in 1 paper)
On the relationship between differentiability conditions and existence of a strong gradient
G. G. Oniani
Akaki Tsereteli State University
Abstract:
It is proved that for any $n\geqslant2$ there exists continuous function $f\colon\mathbb R^n\to\mathbb R$ which is differentiable almost everywhere, but has no strong gradient almost everywhere.
DOI:
https://doi.org/10.4213/mzm2472
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Mathematical Notes, 2005, 77:1, 84–89
Bibliographic databases:
    
UDC:
517.51
Received: 01.10.2003
Revised: 27.12.2003
Citation:
G. G. Oniani, “On the relationship between differentiability conditions and existence of a strong gradient”, Mat. Zametki, 77:1 (2005), 93–98; Math. Notes, 77:1 (2005), 84–89
Citation in format AMSBIB
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This publication is cited in the following articles:
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Bantsuri L.D. Oniani G.G., “On Differential Properties of Functions of Bounded Variation”, Anal. Math., 38:1 (2012), 1–17
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