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math.AP2017★ 2 cited
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…
math.AP2015
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…
math.AP2015★ 10 cited
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…