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math.MG2019★ 2 cited
A Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group
Marco Capolli, Andrea Pinamonti, Gareth Speight
We prove a Lusin approximation theorem for horizontal curves in the Heisenberg group. This states that every absolutely continuous horizontal curve whose horizontal velocity…
math.AP2019★ 2 cited
Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups
Tomasz Adamowicz, Antoni Kijowski, Andrea Pinamonti +1
Let . We provide an asymptotic characterization of continuous viscosity solutions of the normalized -Laplacian in any Carnot group…
math.AP2019★ 13 cited
-convergence for functionals depending on vector fields. I. Integral representation and compactness
Alberto Maione, Andrea Pinamonti, Francesco Serra Cassano
Given a family of locally Lipschitz vector fields on , , we study functionals depending on . We prove an integral representat…