22 citations · 249 across the 87 of their papers we have counts for
4 papers · 2 filters
Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions
Gwenael Mercier, Matteo Novaga
We show short time existence and uniqueness of $\C^{1,1}$ solutions to the mean curvature flow with obstacles, when the obstacles are of class $\C^{1,1}$. If the initial interface…
A fractional isoperimetric problem in the Wiener space
Matteo Novaga, Diego Pallara, Yannick Sire
We introduce a notion of fractional perimeter in an abstract Wiener space, and we show that halfspaces are the only volume-constrained minimisers.
Eventual regularity for the parabolic minimal surface equation
Giovanni Bellettini, Matteo Novaga, Giandomenico Orlandi
We show that the parabolic minimal surface equation has an eventual regularization effect, that is, the solution becomes smooth after a (strictly positive) finite time.
Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1/2-Laplacian
Matteo Novaga, Berardo Ruffini
We prove that that the 1-Riesz capacity satisfi es a Brunn-Minkowski inequality, and that the capacitary function of the 1/2-Laplacian is level set convex.