F. Nobili

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20202022

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math.MG2021

A first-order condition for the independence on $p$ of weak gradients

Nicola Gigli, Francesco Nobili

It is well known that on arbitrary metric measure spaces, the notion of minimal $p$ -weak upper gradient may depend on $p$ . In this paper we investigate how a first-order condition…

math.MG2021

On master test plans for the space of BV functions

Francesco Nobili, Enrico Pasqualetto, Timo Schultz

We prove that on an arbitrary metric measure space a countable collection of test plans is sufficient to recover all $BV$ functions and their total variation measures. In the s…

math.MG2020

A differential perspective on Gradient Flows on $CAT (κ)$ -spaces and applications

Nicola Gigli, Francesco Nobili

We review the theory of Gradient Flows in the framework of convex and lower semicontinuous functionals on $CAT (κ)$ -spaces and prove that they can be characterized by the same…

A first-order condition for the independence on p of weak gradients

On master test plans for the space of BV functions

A differential perspective on Gradient Flows on CAT(κ)-spaces and applications

A first-order condition for the independence on $p$ of weak gradients

A differential perspective on Gradient Flows on $CAT (κ)$ -spaces and applications