Some Properties of the Distance Function and a Conjecture of De Giorgi

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dc.creatorEminenti, Manolo
dc.creatorMantegazza, Carlo
dc.date2003-06-08
dc.date.accessioned2026-07-07T06:42:21Z
dc.date.available2026-07-07T06:42:21Z
dc.descriptionWe analyse the geometric properties of the high derivatives of the distance function from a submanifold of the Euclidean space. In particular, we show some relations with the second fundamental form and its covariant derivatives of independent interest. As an application we prove a conjecture of Ennio De Giorgi on the evolution of submanifolds of the Euclidean space by the gradient of functionals depending on the derivatives of the distance function.
dc.identifierhttps://arxiv.org/abs/math/0306141
dc.identifierhttp://arxiv.org/abs/math/0306141
dc.identifierJ. Geom. Anal. 14 (2004), no. 2, 267-279
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102012
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject53A07; 53A55
dc.titleSome Properties of the Distance Function and a Conjecture of De Giorgi
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