1 citations · 3 across the 25 of their papers we have counts for
12 papers · 1 filter
A Polyharmonic Liouville Hierarchy on Complete Manifolds of Nonnegative Ricci Curvature
John E. Bravo, Jean C. Cortissoz
In this paper, we establish a complete Liouville--type hierarchy for polyharmonic functions on Riemannian manifolds with nonnegative Ricci curvature. Extending Yau's classical resu…
Liouville theorem for biharmonic functions on manifolds of nonnegative Ricci curvature
John E. Bravo, Jean C. Cortissoz
In this paper we extend Yau's celebrated Liouville theorem to the biharmonic case. Namely, we show that in a complete Riemannian manifold with a pole and nonnegative Ricci curvatur…
On Milnor's criterion for deciding whether a surface is hyperbolic or parabolic for biharmonic functions
John E. Bravo, Jean C. Cortissoz
In this paper we generalise a celebrated result of Milnor that characterises whether a rotationally symmetric surface is parabolic or hyperbolic to the case of biharmonic functions…
On the behaviour of harmonic functions on Riemannian cones
Jean C. Cortissoz
We discuss the behavior of harmonic functions on Riemannian cones as defined below and Lioville's theorem.
Singular Ricci Flows on surfaces with boundary and positive scalar curvature
Jean C. Cortissoz, Juan J. Villamarín
We study the subsequential convergence of singular solutions to the Ricci flow with prescribed constant in space geodesic curvature on compact surfaces with boundary. Furthermore,…
On March's criterion for transience on rotationally symmetric manifolds
Jhon E. Bravo, Jean C. Cortissoz
In this short paper we show that March's criterion for the existence of a bounded non constant harmonic function on a weak model is also a necessary and sufficient condition for th…