4 citations · 4 across the 2 of their papers we have counts for
3 papers · 1 filter
Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian
Damião J. Araújo, Luciano Mari, Leandro F. Pessoa
In this paper, we study some potential theoretic aspects of the eikonal and infinity Laplace operator on a Finsler manifold . Our main result shows that the forward completeness…
On the role of gradient terms in quasilinear coercive differential inequalities on Carnot Groups
Guglielmo Albanese, Luciano Mari, Marco Rigoli
In the sub-Riemannian setting of Carnot groups, this work investigates a-priori estimates and Liouville type theorems for solutions of coercive, quasilinear differential inequaliti…
Splitting theorems, symmetry results and overdetermined problems for Riemannian manifolds
Alberto Farina, Luciano Mari, Enrico Valdinoci
Our work proposes a unified approach to three different topics in a general Riemannian setting: splitting theorems, symmetry results and overdetermined elliptic problems. By the ex…