552 citations · 2k across the 45 of their papers we have counts for
4 papers · 1 filter
Independence on of weak upper gradients on RCD spaces
Nicola Gigli, Bangxian Han
We study -weak gradients on RCD(K,) metric measure spaces and prove that they all coincide for . On proper spaces, our arguments also cover the extremal situation o…
Nonsmooth differential geometry - An approach tailored for spaces with Ricci curvature bounded from below
Nicola Gigli
We discuss in which sense general metric measure spaces possess a first order differential structure. Building on this, we then see that on spaces with Ricci curvature bounded from…
The continuity equation on metric measure spaces
Nicola Gigli, Bangxian Han
Aim of this paper is to show that it makes sense to write the continuity equation on a metric measure space and that absolutely continuous curves w.r.t. the distanc…
The abstract Lewy-Stampacchia inequality and applications
Nicola Gigli, Sunra Mosconi
We prove an abstract and general version of the Lewy-Stampacchia inequality. We then show how to reproduce more classical versions of it and, more importantly, how it can be used i…