552 citations · 2k across the 45 of their papers we have counts for
60 papers
About the general chain rule for functions of bounded variation
Camillo Brena, Nicola Gigli
We give an alternative proof of the general chain rule for functions of bounded variation ([ADM90]), which allows to compute the distributional differential of , where $φ…
De Giorgi and Gromov working together
Nicola Gigli
The title is meant as way to honor two great mathematicians that, although never actually worked together, introduced concepts of convergence that perfectly match each other and ve…
On the notion of Laplacian bounds on spaces and applications
Nicola Gigli, Andrea Mondino, Daniele Semola
We show that several different interpretations of the inequality are equivalent in the setting of spaces. With respect to previously available results…
A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces
Luca Gennaioli, Nicola Gigli
This note is motivated by recent studies by Eriksson-Bique and Soultanis about the construction of charts in general metric measure spaces. We analyze their construction and provid…
Duals and pullbacks of normed modules
Nicola Gigli, Danka Lučić, Enrico Pasqualetto
We give a general description of the dual of the pullback of a normed module. Ours is the natural generalization to the context of modules of the well-known fact that the dual of t…
Local vector measures
Camillo Brena, Nicola Gigli
Consider a BV function on a Riemannian manifold. What is its differential? And what about the Hessian of a convex function? These questions have clear answers in terms of (co)vecto…