32 citations · 224 across the 33 of their papers we have counts for
33 papers
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…
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…
On minimal graphs of sublinear growth over manifolds with non-negative Ricci curvature
Giulio Colombo, Luciano Mari, Marco Rigoli
We prove that entire solutions of the minimal hypersurface equation \[ \mathrm{div}\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) = 0 \] on a complete manifold with ,…
Conformal solitons for the mean curvature flow in hyperbolic space
Luciano Mari, Jose Danuso Rocha de Oliveira, Andreas Savas-Halilaj +1
In this paper we study conformal solitons for the mean curvature flow in hyperbolic space . Working in the upper half-space model, we focus on horo-expanders, whi…
Einstein-type structures, Besse's conjecture and a uniqueness result for a -CPE metric in its conformal class
Giulio Colombo, Luciano Mari, Marco Rigoli
In this paper, we study an extension of the CPE conjecture to manifolds which support a structure relating curvature to the geometry of a smooth map . The resulting…
Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born-Infeld model
Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1
Given a measure on a domain , we study spacelike graphs over in Minkowski space with Lorentzian mean curvature and Dirichlet boundary condition o…