Geodesic
On a Counterexample in Analysis
Matematičeskie zametki, Tome 95 (2014) no. 1, pp. 123-128

Voir la notice de l'article provenant de la source Math-Net.Ru

An example of multivalued convex-valued Lipschitz mapping from $\mathbb R^n$ into $\mathbb R^m$ such that, at any point, the support function of this mapping has no mixed derivatives in the sense of Gâteaux with respect to the initial and conjugate variables is constructed.
Keywords: multivalued convex-valued Lipschitz mapping, support function, convex analysis, Cantor function. 
@article{MZM_2014_95_1_a9,
     author = {E. S. Polovinkin},
     title = {On a {Counterexample} in {Analysis}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {123--128},
     publisher = {mathdoc},
     volume = {95},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_1_a9/}
}
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E. S. Polovinkin. On a Counterexample in Analysis. Matematičeskie zametki, Tome 95 (2014) no. 1, pp. 123-128. http://geodesic.mathdoc.fr/item/MZM_2014_95_1_a9/