18 citations · 44 across the 9 of their papers we have counts for
9 papers
Characterizations of Sobolev and BV functions on Carnot groups
Francesco Serra Cassano, Kilian Zambanini
We establish two characterizations of real-valued Sobolev and BV functions on Carnot groups. The first is obtained via a nonlocal approximation of the distributional horizontal gra…
The Bernstein problem for Sobolev intrinsic graphs in the Heisenberg group
Sebastiano Nicolussi Golo, Francesco Serra Cassano, Mattia Vedovato
In the first Heisenberg group, we study entire, locally Sobolev intrinsic graphs that are stable for the sub-Riemannian area. We show that, under appropriate integrability conditio…
On some intrinsic differentiability properties for Absolutely continuous functions between Carnot groups and the Area formula
Andrea Pinamonti, Francesco Serra Cassano, Kilian Zambanini
We discuss Q-absolutely continuous functions between Carnot groups, following Maly's definition for maps of several variables. Such maps enjoy nice regularity properties, like cont…
Optimal -approximation of functions with exponentially or sub-exponentially integrable derivative
Luigi Ambrosio, Sebastiano Nicolussi Golo, Francesco Serra Cassano
We discuss Meyers-Serrin's type results for smooth approximations of functions , with convergence of an energy of the form \[…
-convergence for functionals depending on vector fields. II. Convergence of minimizers
Alberto Maione, Andrea Pinamonti, Francesco Serra Cassano
Given a family of locally Lipschitz vector fields on , , we study integral functionals depending on . Using the results in \c…
-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…