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

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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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     author = {A. A. Vasil'eva},
     title = {An {Existence} {Criterion} for a {Smooth} {Function} under {Constraints}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_3_a1/}
}
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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/