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 2024Show all

3 papers · 1 filter

math.AP2024

Fine Pólya-Szegő rearrangement inequalities in metric spaces and applications

Francesco Nobili, Ivan Yuri Violo

We study fine Pólya-Szegő rearrangement inequalities into weighted intervals for Sobolev functions and functions of bounded variation defined on metric measure spaces supporting an…

math.MG2024

Notes on the Cheeger and Colding version of the Reifenberg theorem for metric spaces

Nicola Gigli, Ivan Yuri Violo

The classical Reifenberg's theorem says that a set which is sufficiently well approximated by planes uniformly at all scales is a topological Hölder manifold. Remarkably, this gene…

math.MG2024★ 1 cited

Second-order estimates for the $p$ -Laplacian in RCD spaces

Luca Benatti, Ivan Yuri Violo

We establish quantitative second-order Sobolev regularity for functions having a $2$ -integrable $p$ -Laplacian in bounded RCD spaces, with $p$ in a suitable range. In the finite-dim…

Fine Pólya-Szegő rearrangement inequalities in metric spaces and applications

Notes on the Cheeger and Colding version of the Reifenberg theorem for metric spaces

Second-order estimates for the p-Laplacian in RCD spaces

Second-order estimates for the $p$ -Laplacian in RCD spaces