Geodesic
A Conjecture of De Giorgi on the Square Distance Function
Journal of convex analysis, Tome 14 (2007) no. 2, pp. 353-359 
G. Bellettini; M. Masala; M. Novaga. A Conjecture of De Giorgi on the Square Distance Function. Journal of convex analysis, Tome 14 (2007) no. 2, pp. 353-359. http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a8/
@article{JCA_2007_14_2_JCA_2007_14_2_a8,
     author = {G. Bellettini and M. Masala and M. Novaga},
     title = {A {Conjecture} of {De} {Giorgi} on the {Square} {Distance} {Function}},
     journal = {Journal of convex analysis},
     pages = {353--359},
     year = {2007},
     volume = {14},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a8/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

We prove a conjecture of De Giorgi on the regularity of the square distance function from manifolds of arbitrary codimension in RN.