We prove a conjecture of De Giorgi on the regularity of the square distance function from manifolds of arbitrary codimension in RN\mathbb{R}^N

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Giovanni Bellettini

Dip. di Matematica, Università di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy

belletti@mat.uniroma2.it

M. Masala

Dip. di Matematica, Università di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy

Matteo Novaga

Dip. di Matematica, Università di Pisa, Via Buonarroti 2, 56127 Pisa, Italy

novaga@dm.unipi.it
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G. Bellettini, M. Masala, M. Novaga. “A Conjecture of De Giorgi on the Square Distance Function.” Journal of Convex Analysis 14 (2007), No. 2, 353–359. https://doi.org/10.68381/jca14024