552 citations · 2k across the 45 of their papers we have counts for
21 papers · 1 filter
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…
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…
On the regularity of harmonic maps from to spaces and related results
Nicola Gigli
For an harmonic map from a domain in an space to a space we prove the Lipschitz estimate \[ {\rm Lip}(u|_B…
A first-order condition for the independence on of weak gradients
Nicola Gigli, Francesco Nobili
It is well known that on arbitrary metric measure spaces, the notion of minimal -weak upper gradient may depend on . In this paper we investigate how a first-order condition…
A differential perspective on Gradient Flows on -spaces and applications
Nicola Gigli, Francesco Nobili
We review the theory of Gradient Flows in the framework of convex and lower semicontinuous functionals on -spaces and prove that they can be characterized by the same…
Displacement convexity of Entropy and the distance cost Optimal Transportation
Fabio Cavalletti, Nicola Gigli, Flavia Santarcangelo
During the last decade Optimal Transport had a relevant role in the study of geometry of singular spaces that culminated with the Lott-Sturm-Villani theory. The latter is built on…