10 citations · 13 across the 4 of their papers we have counts for
6 papers
Lichnerowicz-type equations with sign-changing nonlinearities on complete manifolds with boundary
Guglielmo Albanese, Marco Rigoli
We prove an existence theorem for positive solutions to Lichnerowicz-type equations on complete manifolds with boundary and nonlinear Neumann conditions. This kind of nonlinear pro…
A Schwarz-type lemma for noncompact manifolds with boundary and geometric applications
Guglielmo Albanese, Marco Rigoli
We prove a Schwarz-type lemma for noncompact manifolds with possibly noncompact boundary. The result is a consequence of a suitable form of the weak maximum principle of independen…
Lichnerowicz-type equations on complete manifolds
Guglielmo Albanese, Marco Rigoli
Under appropriate spectral assumptions we prove two existence results for positive solutions of Lichnerowicz-type equations on complete manifolds. We also give a priori bounds and…
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…
Gevrey regularity for integro-differential operators
Guglielmo Albanese, Alessio Fiscella, Enrico Valdinoci
We prove for some singular kernels that viscosity solutions of the integro-differential equation loca…
A general form of the weak maximum principle and some applications
Guglielmo Albanese, Luis J. Alias, Marco Rigoli
The aim of this paper is to introduce new forms of the weak and Omori-Yau maximum principles for linear operators, notably for trace type operators, and show their usefulness, for…