3 papers
math.DG2010
Spectral radius, index estimates for Schrodinger operators and geometric applications
Bruno Bianchini, Luciano Mari, Marco Rigoli
In this paper we study the existence of a first zero and the oscillatory behavior of solutions of the ordinary differential equation , where are functions ari…
math.DG2010
Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group
Marco Magliaro, Luciano Mari, Paolo Mastrolia +1
The aim of this paper is to study the qualitative behaviour of non-negative entire solutions of certain differential inequalities involving gradient terms on the Heisenberg group.…
math.DG2010
Some geometric properties of hypersurfaces with constant -mean curvature in Euclidean space
Debora Impera, Luciano Mari, Marco Rigoli
Let $f:M\ra \erre^{m+1}$ be an isometrically immersed hypersurface. In this paper, we exploit recent results due to the authors in \cite{bimari} to analyze the stability of the dif…