Geodesic
Necessary Conditions for Differentiability of Distance Functions
Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 815-820

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

Necessary conditions for the Gâteaux differentiability of the distance function to a set are considered. A series of characterizing results is obtained. 
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     author = {V. S. Balaganskii},
     title = {Necessary {Conditions} for {Differentiability} of {Distance} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {815--820},
     publisher = {mathdoc},
     volume = {72},
     number = {6},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a2/}
}
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V. S. Balaganskii. Necessary Conditions for Differentiability of Distance Functions. Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 815-820. http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a2/