62 citations · 72 across the 17 of their papers we have counts for
20 papers
Shape optimisation for nonlocal anisotropic energies
Riccardo Cristoferi, Maria Giovanna Mora, Lucia Scardia
In this paper we consider shape optimisation problems for sets of prescribed mass, where the driving energy functional is nonlocal and anisotropic. More precisely, we deal with the…
Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations
Lucia Scardia, Konstantinos Zemas, Caterina Ida Zeppieri
In this paper we study the convergence of integral functionals with -growth in a randomly perforated domain of , with . Under the assumption that the perfora…
Explicit minimisers for anisotropic Coulomb energies in 3D
Joan Mateu, Maria Giovanna Mora, Luca Rondi +2
In this paper we consider a general class of anisotropic energies in three dimensions and give a complete characterisation of their minimisers. We show that, depending on the Fouri…
Stability of ellipsoids as the energy minimisers of perturbed Coulomb energies
Joan Mateu, Maria Giovanna Mora, Luca Rondi +2
In this paper we characterise the minimiser for a class of nonlocal perturbations of the Coulomb energy. We show that the minimiser is the normalised characteristic function of an…
A global method for deterministic and stochastic homogenisation in
Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia +1
In this paper we study the deterministic and stochastic homogenisation of free-discontinuity functionals under \emph{linear} growth and coercivity conditions. The main novelty of o…
Stochastic homogenisation of free-discontinuity functionals in random perforated domains
Xavier Pellet, Lucia Scardia, Caterina Ida Zeppieri
In this paper we study the asymptotic behaviour of a family of random free-discontinuity energies defined on a randomly perforated domain, as goes to…