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Journal of Convex Analysis 14 (2007), No. 2, 353--359
Copyright Heldermann Verlag 2007



A Conjecture of De Giorgi on the Square Distance Function

Giovanni Bellettini
Dip. di Matematica, UniversitÓ di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy
belletti@mat.uniroma2.it

M. Masala
Dip. di Matematica, UniversitÓ di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy

Matteo Novaga
Dip. di Matematica, UniversitÓ di Pisa, Via Buonarroti 2, 56127 Pisa, Italy
novaga@dm.unipi.it



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

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