22 citations · 80 across the 66 of their papers we have counts for
5 papers · 1 filter
Asymptotic analysis of fractional Sobolev spaces on thin films in the low-integrability regime
Andrea Braides, Andrea Pinamonti, Margherita Solci
We study the behaviour of fractional Sobolev spaces with defined on ``thin films'' in , and…
Curvature measures and the sub-Riemannian Gauss-Bonnet theorem
Davide Barilari, Eugenio Bellini, Andrea Pinamonti
We adopt a measure-theoretic perspective on the Riemannian approximation scheme proving a sub-Riemannian Gauss-Bonnet theorem for surfaces in 3D contact manifolds. We show that the…
Benamou-Brenier and Kantorovich on sub-Riemannian manifolds with no abnormal geodesics
Giovanna Citti, Mattia Galeotti, Andrea Pinamonti
We prove that the Benamou-Brenier formulation of the Optimal Transport problem and the Kantorovich formulation are equivalent on a sub-Riemannian connected and complete manifold $M…
Chernoff solutions of the heat and the Schrödinger equation in the Heisenberg group
Nicolò Drago, Sonia Mazzucchi, Andrea Pinamonti
This paper investigates the application of the classical Chernoff's theorem to construct explicit solutions for the heat and Schrödinger equations on the Heisenberg group $\mathbb{…
A CR structure with blowing up solutions to the CR Yamabe problem
Claudio Afeltra, Andrea Pinamonti
We prove the existence of a CR structure on such that the set of solutions to the CR Yamabe problem is not compact and admits a blowing-up sequence. Such CR structure is buil…