Ivan Yuri Violo

activity

20212025

collaborators

3 papers

math.AP2025

An overview of regularity results for the Laplacian and $p$ -Laplacian in metric spaces

Ivan Yuri Violo

We review some regularity results for the Laplacian and $p$ -Laplacian in metric measure spaces. The focus is mainly on interior Hölder, Lipschitz and second-regularity estimates an…

math.MG2023

Fat triangles inscribed in arbitrary planar domains

Ivan Yuri Violo

In 1964 A. Bruckner observed that any bounded open set in the plane has an inscribed triangle, that is a triangle contained in the open set and with the vertices lying on the bound…

math.MG2021

A remark on two notions of flatness for sets in the Euclidean space

Ivan Yuri Violo

In this note we compare two ways of measuring the $n$ -dimensional "flatness" of a set $S \subset R^{d}$ , where $n \in N$ and $d > n$ . The first one is to consider the c…

An overview of regularity results for the Laplacian and p-Laplacian in metric spaces

Fat triangles inscribed in arbitrary planar domains

A remark on two notions of flatness for sets in the Euclidean space

An overview of regularity results for the Laplacian and $p$ -Laplacian in metric spaces