Geodesic
An example of a $\Cal C^{1,1}$ function, which is not a d.c. function
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 1, pp. 149-154.

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Let $X = \ell_p$, $p \in (2,+\infty)$. We construct a function $f:X \to \Bbb R$ which has Lipschitz Fréchet derivative on $X$ but is not a d.c. function.
Classification : 26B25, 46B20, 46G05
Keywords: Lipschitz Fréchet derivative; d.c. functions 
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     title = {An example of a $\Cal C^{1,1}$ function, which is not a d.c. function},
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Zelený, Miroslav. An example of a $\Cal C^{1,1}$ function, which is not a d.c. function. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 1, pp. 149-154. http://geodesic.mathdoc.fr/item/CMUC_2002__43_1_a11/