Ivan Yuri Violo

activity

20212026

most citedTopological regularity of isoperimetric sets in PI spaces having a deformation property

7 citations · 10 across the 19 of their papers we have counts for

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Showing 2026Show all

3 papers · 1 filter

math.AP2026

Divergence-free concentrations come from vanishing sequences

Adolfo Arroyo-Rabasa, Francesco Nobili, Ivan Yuri Violo

A vanishing sequence $V_{n}$ of divergence-free matrix fields is one that is bounded in $L^{1}$ and is carried by open sets $A_{n}$ of vanishing volume. Recently established, Bouchitté's…

math.DG2026

Mean curvature and sharp Willmore inequalities in metric spaces

Nicola Gigli, Ivan Yuri Violo

The goal of this work is to introduce a notion of mean curvature for level sets of functions in non-smooth spaces with Ricci curvature bounded below, and to prove that it satisfies…

math.AP2026

Quantitative stability in distribution for the Sobolev inequality under curvature dimension condition

Max Fathi, Ivan Yuri Violo

The goal of this note is to investigate quantitative stability properties of the critical Sobolev inequality in $CD (N - 1, N)$ metric measure spaces. Assuming that the optimal c…