1 citations · 1 across the 9 of their papers we have counts for
10 papers
A BMO-type representation formula for the total variation of SBV functions in Heisenberg groups
Marco Di Marco, Sebastiano Don, Davide Vittone
We prove a formula for the total variation of SBV functions in sub-Riemannian Heisenberg groups arising as the limit of certain BMO-type functionals.
-free measures and the Rank-one Theorem in Carnot Groups
Guido De Philippis, Alberto Gervani, Annalisa Massaccesi +1
We establish a structure theorem for measures satisfying left-invariant PDE constraints in Carnot groups. Our generalization, that takes inspiration from the paper arxiv:1601.06543…
Transport and flow for horizontal Sobolev contact velocities in Carnot groups
Gianluca Somma, Simone Verzellesi, Davide Vittone
We establish new well-posedness results for transport and flow equations driven by contact vector fields on Carnot groups. The velocity fields are assumed to have horizontal Sobole…
Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups
Luigi Ambrosio, Gianluca Somma, Simone Verzellesi +1
In this paper we obtain the well-posedness of the transport and continuity equations in the Heisenberg groups for a class of contact vector fields , under…
Submanifolds with boundary in sub-Riemannian Heisenberg Groups
Marco Di Marco, Davide Vittone
We discuss the notion of submanifolds with boundary with intrinsic regularity in sub-Riemannian Heisenberg groups and we provide some examples. Eventually, we present a Stoke…
A note on the diameter of small sub-Riemannian balls
Marco Di Marco, Gianluca Somma, Davide Vittone
We observe that the diameter of small (in a locally uniform sense) balls in sub-Riemannian manifolds equals twice the radius. We also prove that, when the regularity of t…