82 citations · 143 across the 36 of their papers we have counts for
6 papers · 1 filter
Dynamics of screened particles towards equi-spaced ground states
Lucia De Luca, Michael Goldman, Marcello Ponsiglione
This paper deals with the dynamics - driven by the gradient flow of negative fractional seminorms - of empirical measures towards equi-spaced ground states. Specifically, we consid…
A notion of -fractional mass for -currents in higher codimension
Marco Cicalese, Tim Heilmann, Andrea Kubin +2
In this paper we propose a notion of -fractional mass for -currents in . Such a notion generalizes the notion of -fractional perimeters for sets in the plane to high…
The -fractional perimeter between fractional perimeters and Riesz potentials
Lucia De Luca, Matteo Novaga, Marcello Ponsiglione
This paper provides a unified point of view on fractional perimeters and Riesz potentials. Denoting by - for - the -fractional perimeter and by - for $σ…
A variational model for quasistatic crack growth in nonlinear elasticity: some qualitative properties of the solutions
Gianni Dal Maso, Alessandro Giacomini, Marcello Ponsiglione
We present the main existence result for quasistatic crack growth in the model proposed by Dal Maso, Francfort, and Toader, and prove some qualitative properties of the solutions.
A duality approach for variational problems in domains with cracks
Francois Ebobisse, Marcello Ponsiglione
In this paper we study the asymptotic behaviour of the solutions of some minimization problems for integral functionals with convex integrands, in two-dimensional domains with crac…
Stability of some unilateral free-discontinuity problems in two-dimensional domains
Francois Ebobisse, Marcello Ponsiglione
The purpose of this paper is to study the stability of some unilateral free-discontinuity problems, under perturbations of the discontinuity sets in the Hausdorff metric.