1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
Higher order mean curvature estimates for bounded complete hypersurfaces
L. J. Alias, M. Dajczer, M. Rigoli
We obtain sharp estimates involving the mean curvatures of higher order of a complete bounded hypersurface immersed in a complete Riemannian manifold. Similar results are also give…
On the Geometry of complete Ricci Solitons
Paolo Mastrolia, Marco Rigoli
In this paper we establish three basic equations for a general soliton structure on the Riemannian manifold . We then draw some geometric conclusions with the aid of the…
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…
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.…
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…