1 citations · 1 across the 9 of their papers we have counts for
3 papers · 2 filters
-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…