5 papers
A minimal regularity for the area formula in the Engel group
Francesca Corni, Fares Essebei, Valentino Magnani
We prove that the upper blow-up theorem in the Engel group holds for submanifolds. Combining this result with the known negligibility of the singular set, we obtain an integr…
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups
Fares Essebei, Gianmarco Giovannardi, Simone Verzellesi
In this paper we study Monge solutions to stationary Hamilton-Jacobi equations associated to discontinuous Hamiltonians in the framework of Carnot groups. After showing the equival…
Variational problems concerning length distances in metric spaces
Fares Essebei, Enrico Pasqualetto
Given a locally compact, complete metric space and an open set , we study the class of length distances on that are bounded from…
Variational problems concerning sub-Finsler metrics in Carnot groups
Fares Essebei, Enrico Pasqualetto
This paper is devoted to the study of geodesic distances defined on a subdomain of a given Carnot group, which are bounded both from above and from below by fixed multiples of the…
-Compactness of Some Classes of Integral Functionals Depending on Vector Fields
Fares Essebei, Simone Verzellesi
In this paper we achieve some -compactness results for suitable classes of integral functionals depending on a given family of Lipschitz vector fields, with respect to both the…