4 papers
Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications
Annalisa Baldi, Bruno Franchi, Pierre Pansu
It is shown that higher degree exact differential forms on compact Riemannian -manifolds possess continuous primitives whose uniform norm is controlled by their norm. A co…
Homogenization of Smoluchowski-type equations with transmission boundary conditions
Bruno Franchi, Silvia Lorenzani
In this work, we prove a two-scale homogenization result for a set of diffusion-coagulation Smoluchowski-type equations with transmission boundary conditions. This system is meant…
On the heat kernel of the Rumin complex and Calderón reproducing formula
Paolo Ciatti, Bruno Franchi, Yannick Sire
We derive several properties of the heat equation with the Hodge operator associated with the Rumin complex on Heisenberg groups and prove several properties of the fundamental sol…
-convergence of variational functionals with boundary terms in Stein manifolds
Eleonora Cinti, Bruno Franchi, María del Mar González
Let be an open subset of a Stein manifold and let be its boundary. It is well known that inherits a natural contact structure. In this paper we consider a family of…