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math.AP2023
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…
math.AP2022
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…
math.AP2021
-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…