Luca Benatti

collaborators

2 papers

math.AP2026

Proper solutions of the $1/ H$ -flow and the Green kernel of the $p$ -Laplacian

Luca Benatti, Luciano Mari, Marco Rigoli +2

We show existence and optimal growth estimate for the weak inverse mean curvature flow issuing from a point, on manifolds with certain curvature and isoperimetric conditions. These…

math.MG2025

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…

Proper solutions of the 1/H-flow and the Green kernel of the p-Laplacian

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

Proper solutions of the $1/ H$ -flow and the Green kernel of the $p$ -Laplacian

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