29 citations · 30 across the 5 of their papers we have counts for
6 papers
Prescribing the mean curvature of an achronal hypersurface as a measure: the case of 3D spacetimes
Lorenzo Maniscalco, Luciano Mari
We study the existence problem for achronal hypersurfaces in a globally hyperbolic spacetime, whose mean curvature is a prescribed -- possibly sing…
On linking numbers and Biot-Savart kernels
Daniel Cibotaru, Luciano Mari
On a compact manifold, the solutions of the initial value problem for the heat equation with currential initial conditions are smooth families of forms for . If the initial co…
Spectral rigidity of manifolds with Ricci bounded below and maximal bottom spectrum
Luciano Mari, Marcos Ranieri, Elaine Sampaio +1
We investigate the spectrum of the Laplacian on complete, non-compact manifolds whose Ricci curvature satisfies , for some continuous,…
Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces
Giovanni Catino, Luciano Mari, Paolo Mastrolia +1
In this paper we prove general criticality criteria for operators on manifolds with more than one end, where bounds the Ricci curvature, and a related spectral splitting…
Compactness via monotonicity in nonsmooth critical point theory, with application to Born-Infeld type equations
Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1
In this paper, we prove new existence and multiplicity results for critical points of lower semicontinuous functionals in Banach spaces, complementing the nonsmooth critical point…
Maximum principles at infinity and the Ahlfors-Khas'minskii duality: an overview
Luciano Mari, Leandro Freitas Pessoa
This note is meant to introduce the reader to a duality principle for nonlinear equations that recently appeared in the literature. Motivations come from the desire to give a unify…