Camillo Brena

activity

20212026

most citedWeakly non-collapsed RCD spaces are strongly non-collapsed

5 citations · 12 across the 19 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.DG2021★ 5 cited

Weakly non-collapsed RCD spaces are strongly non-collapsed

Camillo Brena, Nicola Gigli, Shouhei Honda +1

We prove that any weakly non-collapsed RCD space is actually non-collapsed, up to a renormalization of the measure. This confirms a conjecture raised by De Philippis and the second…

math.OC2021

Stability of a class of action functionals depending on convex functions

Luigi Ambrosio, Camillo Brena

We study the stability of a class of action functionals induced by gradients of convex functions with respect to Mosco convergence, under mild assumptions on the underlying space.

math.FA2021

BV and Sobolev homeomorphisms between metric measure spaces and the plane

Camillo Brena, Daniel Campbell

We show that given a homeomorphism $f : G \to Ω$ where $G$ is a open subset of $R^{2}$ and $Ω$ is a open subset of a $2$ -Ahlfors regular metric measure space supporting…