3 papers
math.DG2026
Some splitting and rigidity results for sub-static spaces
Giulio Colombo, Allan Freitas, Luciano Mari +1
In this paper we study the rigidity problem for sub-static systems with possibly non-empty boundary. First, we get local and global splitting theorems by assuming the existence of…
math.AP2026
Proper solutions of the -flow and the Green kernel of the -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.AP2025
On the principal eigenvalue of the truncated Laplacian, and submanifolds with bounded mean curvature
Gregório Pacelli F. Bessa, Luquésio Petrola de M. Jorge, Luciano Mari
In this paper, we study the principal eigenvalue of the fully nonlinear operator \[ \mathscr{F}_k^-[u] = \mathcal{P}_k^-(\nabla^2 u) - h |\nabla u| \] on a…