Bruno Franchi

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20162025

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math.AP2024

Primitives of volume forms in Carnot groups

Annalisa Baldi, Bruno Franchi, Pierre Pansu

In the Euclidean space it is known that a function $f \in L^{2}$ of a ball, with vanishing average,is the divergence of a vector field $F \in L^{2}$ with$$\| F\|\_{ L^2(B)} \le C \|f\|\_…

math.AP2024

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 $n$ -manifolds possess continuous primitives whose uniform norm is controlled by their $L^{n}$ norm. A co…

math.AP2016

$Γ$ -convergence of variational functionals with boundary terms in Stein manifolds

Eleonora Cinti, Bruno Franchi, María del Mar González

Let $Ω$ be an open subset of a Stein manifold $Σ$ and let $M$ be its boundary. It is well known that $M$ inherits a natural contact structure. In this paper we consider a family of…

Primitives of volume forms in Carnot groups

Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications

Γ-convergence of variational functionals with boundary terms in Stein manifolds

$Γ$ -convergence of variational functionals with boundary terms in Stein manifolds