1 citations · 3 across the 25 of their papers we have counts for
30 papers
A maximum principle for the -Laplacian, an eigenvalue estimate and a stabilization phenomenon for the large- regime
Kevin Carrillo-Reina, Jean C. Cortissoz
We establish an explicit maximum principle for the Dirichlet problem associated with the -Laplacian (), where the constant depends on both and the geometry of the domai…
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 Liouville's theorem and the Strong Liouville Property
John E. Bravo, Jean C. Cortissoz
We explore Liouville's theorem and the Strong Liouville Property (SLP) for harmonic functions on Riemannian cones and surfaces. Our approach recasts the classical Liouville propert…
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.