Geodesic
An Existence Criterion for a Smooth Function under Constraints
Matematičeskie zametki, Tome 82 (2007) no. 3, pp. 335-346.

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

In this paper, we study conditions for the existence of a function satisfying constraints on its value at each point and on its derivative.
Keywords: upper (lower) semicontinuous function, interval between two functions, locally Lipschitz function, Fréchet differentiable function, semimetric, Fubini's theorem. 
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A. A. Vasil'eva. An Existence Criterion for a Smooth Function under Constraints. Matematičeskie zametki, Tome 82 (2007) no. 3, pp. 335-346. http://geodesic.mathdoc.fr/item/MZM_2007_82_3_a1/

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