77 citations · 285 across the 27 of their papers we have counts for
4 papers · 1 filter
A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up
Giovanni E. Comi, Giorgio Stefani
We introduce the new space of functions with bounded fractional variation in of order via a new distributional approach exploiting…
A maximal function characterization of absolutely continuous measures and Sobolev functions
Elia Bruè, Quoc-Hung Nguyen, Giorgio Stefani
In this note, we give a new characterisation of Sobolev functions among functions via Hardy-Littlewood maximal function. Exploiting some ideas coming from the proof…
Heat and entropy flows in Carnot groups
Luigi Ambrosio, Giorgio Stefani
We prove the correspondence between the solutions of the sub-elliptic heat equation in a Carnot group and the gradient flows of the relative entropy functional in the…
Symmetric double bubbles in the Grushin plane
Valentina Franceschi, Giorgio Stefani
We address the double bubble problem for the anisotropic Grushin perimeter , , and the Lebesgue measure in , in the case of two equal volumes. We assume…