Simone Verzellesi

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20212024

t

-graphs of prescribed mean curvature in Heisenberg groups

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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.AP2023

The asymptotic $p$ -Poisson equation as $p \to \infty$ in Carnot-Carathéodory spaces

Luca Capogna, Gianmarco Giovannardi, Andrea Pinamonti +1

In this paper we study the asymptotic behavior of solutions to the subelliptic $p$ -Poisson equation as $p \to + \infty$ in Carnot Carathéodory spaces. In particular, introducing a su…

Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups

The asymptotic p-Poisson equation as p→∞ in Carnot-Carathéodory spaces

The asymptotic $p$ -Poisson equation as $p \to \infty$ in Carnot-Carathéodory spaces