22 citations · 102 across the 16 of their papers we have counts for
4 papers · 1 filter
Integral representation of local left--invariant functionals in Carnot groups
Alberto Maione, Eugenio Vecchi
The aim of this note is to prove a representation theorem for left--invariant functionals in Carnot groups. As a direct consequence, we can also provide a -convergence result fo…
Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups
Marco Capolli, Alberto Maione, Ariel Martin Salort +1
In this article we define a class of fractional Orlicz-Sobolev spaces on Carnot groups and, in the spirit of the celebrated results of Bourgain-Brezis-Mironescu and of Maz'ya-Shapo…
-convergence for equations depending on monotone operators in Carnot groups
Alberto Maione
Let be an open and bounded subset of a Carnot Group and . In this paper we present some results related to the convergence of solutions of Dirichle…
-convergence for functionals depending on vector fields. I. Integral representation and compactness
Alberto Maione, Andrea Pinamonti, Francesco Serra Cassano
Given a family of locally Lipschitz vector fields on , , we study functionals depending on . We prove an integral representat…