21 citations · 22 across the 3 of their papers we have counts for
4 papers
Singular Perturbations of Mean Curvature Flow
Giovanni Bellettini, Carlo Mantegazza, Matteo Novaga
We introduce a regularization method for mean curvature flow of a submanifold of arbitrary codimension in the Euclidean space, through higher order equations. We prove that the reg…
Some Properties of the Distance Function and a Conjecture of De Giorgi
Manolo Eminenti, Carlo Mantegazza
We 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 secon…
Motion by Curvature of Planar Networks
Carlo Mantegazza, Matteo Novaga, Vincenzo Maria Tortorelli
We consider the motion by curvature of a network of smooth curves with multiple junctions in the plane, that is, the geometric gradient flow associated to the length functional. Su…
Smooth geometric evolutions of hypersurfaces
Carlo Mantegazza
We consider the gradient flow of hypersurfaces immersed in the Euclidean space associated to geometric energy functionals. We show that for particular functionals depending by high…