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Search: MSC category 28A15 ( Abstract differentiation theory, differentiation of set functions [See also 26A24] )

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1. CMB 2011 (vol 54 pp. 706)

Moonens, Laurent
Nonconstant Continuous Functions whose Tangential Derivative Vanishes along a Smooth Curve
We provide a simple example showing that the tangential derivative of a continuous function $\phi$ can vanish everywhere along a curve while the variation of $\phi$ along this curve is nonzero. We give additional regularity conditions on the curve and/or the function that prevent this from happening.

Categories:26A24, 28A15

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