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Lipschitz approximation of almost -perimeter minimizing boundaries in plentiful groups
Andrea Pinamonti, Giorgio Stefani, Simone Verzellesi
We prove that the boundary of an almost minimizer of the intrinsic perimeter in a plentiful group can be approximated by intrinsic Lipschitz graphs. Plentiful groups are Carnot gro…
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…
A characterization of horizontally totally geodesic hypersurfaces in Heisenberg groups
Andrea Pinamonti, Simone Verzellesi
In this paper we achieve a first concrete step towards a better understanding of the so-called Bernstein problem in higher dimensional Heisenberg groups. Indeed, in the sub-Riemann…
The asymptotic -Poisson equation as in Carnot-Carathéodory spaces
Luca Capogna, Gianmarco Giovannardi, Andrea Pinamonti +1
In this paper we study the asymptotic behavior of solutions to the subelliptic -Poisson equation as in Carnot Carathéodory spaces. In particular, introducing a su…