90 citations · 328 across the 25 of their papers we have counts for
3 papers · 1 filter
On the first stability eigenvalue of constant mean curvature surfaces into homogeneous 3-manifolds
Luis J. Alías, Miguel A. Meroño, Irene Ortiz
We find out upper bounds for the first eigenvalue of the stability operator for compact constant mean curvature surfaces immersed into certain 3-dimensional Riemannian spaces, in p…
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…