IV
Ivan Yuri Violo
math.MGmath.DGmath.APmath.CAmath.FAmath.GTmath.SP
On Valency
published · living versionsW_xzntk9cz·v1 · currentpublished
Any uniformly rectifiable set is contained in a set with Poincaré inequality
with Matthew Hyde, Michele Villa
1 version
Preprints & journals
20 papers in the corpus · 2018–2026Divergence-free concentrations come from vanishing sequences2609.24767v1 · Adolfo Arroyo-Rabasa, Francesco Nobili, Ivan Yuri Violo2026 · 0 citationsarXiv
Mean curvature and sharp Willmore inequalities in metric spaces2607.27012v1 · Nicola Gigli, Ivan Yuri Violo2026 · 0 citationsarXiv
Quantitative stability in distribution for the Sobolev inequality under curvature dimension condition2607.05304v1 · Max Fathi, Ivan Yuri Violo2026 · 0 citationsarXiv
Regularity for quasilinear elliptic equations in metric measure spaces2510.27564v1 · Simon Schulz, Ivan Yuri Violo2025 · 0 citationsarXiv
Generalized existence of extremizers for the sharp -Sobolev inequality on Riemannian manifolds with nonnegative curvature2506.20592v3 · Francesco Nobili, Ivan Yuri Violo2025 · 0 citationsarXiv
On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces: Part 22505.15421v2 · Katrin Fassler, Ivan Yuri Violo2025 · 0 citationsarXiv
An overview of regularity results for the Laplacian and -Laplacian in metric spaces2502.00825v1 · Ivan Yuri Violo2025 · 0 citationsarXiv
Fine Pólya-Szegő rearrangement inequalities in metric spaces and applications2409.14182v2 · Francesco Nobili, Ivan Yuri Violo2024 · 4 citationsarXiv
Notes on the Cheeger and Colding version of the Reifenberg theorem for metric spaces2406.13771v1 · Nicola Gigli, Ivan Yuri Violo2024 · 0 citationsarXiv
Second-order estimates for the -Laplacian in RCD spaces2401.09982v2 · Luca Benatti, Ivan Yuri Violo2024 · 2 citationsarXiv
Ricci curvature bounded below and uniform rectifiability2311.09907v1 · Matthew Hyde, Michele Villa, Ivan Yuri Violo2023 · 0 citationsarXiv
On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces: Part 12310.10519v2 · Katrin Fassler, Ivan Yuri Violo2023 · 1 citationarXiv
Pleijel nodal domain theorem in non-smooth setting2307.13983v2 · Nicolo De Ponti, Sara Farinelli, Ivan Yuri Violo2023 · 5 citationsarXiv
Fat triangles inscribed in arbitrary planar domains2306.07571v1 · Ivan Yuri Violo2023 · 0 citationsarXiv
Topological regularity of isoperimetric sets in PI spaces having a deformation property2303.01280v2 · Gioacchino Antonelli, Enrico Pasqualetto, Marco Pozzetta et al.2023 · 8 citationsProceedings of the Royal Society of Edinburgh: Section A Mathematics 155 (2025) 611-633
Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds2210.00636v2 · Francesco Nobili, Ivan Yuri Violo2022 · 14 citationsarXiv
Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds2108.02135v2 · Francesco Nobili, Ivan Yuri Violo2021 · 21 citationsarXiv
A remark on two notions of flatness for sets in the Euclidean space2102.12910v1 · Ivan Yuri Violo2021 · 1 citationarXiv
Monotonicity formulas for harmonic functions in spaces2101.03331v2 · Nicola Gigli, Ivan Yuri Violo2021 · 16 citationsarXiv
On Stein's extension operator preserving Sobolev-Morrey spaces1812.02267v1 · Pier Domenico Lamberti, Ivan Yuri Violo2018 · 6 citationsarXiv
Career total: 23 works. 20 are in this corpus.
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