552 citations · 2.1k across the 56 of their papers we have counts for
68 papers
A regularity theorem for stationary measures
Luigi Ambrosio, Giovanni Siclari
We investigate a variational problem for eigenvalues of the Laplace-Beltrami operator on smooth manifolds with respect to Radon measures belonging to a suitable class; we are motiv…
Functions with bounded Hessian-Schatten variation: density, variational and extremality properties
Luigi Ambrosio, Camillo Brena, Sergio Conti
In this paper we analyze in detail a few questions related to the theory of functions with bounded -Hessian-Schatten total variation, which are relevant in connection with the t…
Linear Inverse Problems with Hessian-Schatten Total Variation
Luigi Ambrosio, Shayan Aziznejad, Camillo Brena +1
In this paper, we characterize the class of extremal points of the unit ball of the Hessian-Schatten total variation (HTV) functional. The underlying motivation for our work stems…
Classical flows of vector fields with exponential or sub-exponential summability
Luigi Ambrosio, Sebastiano Nicolussi Golo, Francesco Serra Cassano
We show that vector fields whose spatial derivative satisfies a Orlicz summability condition have a spatially continuous representative and are well-posed. For the case…
Optimal -approximation of functions with exponentially or sub-exponentially integrable derivative
Luigi Ambrosio, Sebastiano Nicolussi Golo, Francesco Serra Cassano
We discuss Meyers-Serrin's type results for smooth approximations of functions , with convergence of an energy of the form \[…
On the quadratic random matching problem in two-dimensional domains
Luigi Ambrosio, Michael Goldman, Dario Trevisan
We investigate the average minimum cost of a bipartite matching, with respect to the squared Euclidean distance, between two samples of n i.i.d. random points on a bounded Lipschit…