5 papers
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 splittin…
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,…
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…