4 papers
Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups
Luigi Ambrosio, Gianluca Somma, Simone Verzellesi +1
In this paper we obtain the well-posedness of the transport and continuity equations in the Heisenberg groups for a class of contact vector fields , under…
Variational properties of the total inverse mean curvature in the plane under boundary constraints
Julián Pozuelo, Simone Verzellesi, Giacomo Vianello
We study the variational behavior of the total inverse mean curvature of curves with prescribed boundary in the half-plane. We characterize the existence of critical points with pr…
A survey on anisotropic integral representation results
Simone Verzellesi
In this note we review some recent results concerning integral representation properties of local functionals driven by Lipschitz continuous anisotropies.
Hypergenerated Carnot groups
Enrico Le Donne, Luca Nalon, Nicola Paddeu +1
In this paper we provide an algebraic characterization of those stratified groups in which boundaries with locally constant normal are locally flat. We show that these groups, whic…