1 citations · 3 across the 25 of their papers we have counts for
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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…
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 sublinear elliptic systems on bounded and thin unbounded domains
Jean C. Cortissoz
In this paper, we demonstrate the existence of positive solutions for certain weakly coupled elliptic systems of sublinear growth under homogeneous Dirichlet boundary conditions. O…
An Iteration Method for Solving Elliptic Equations
J. C. Cortissoz, J. Torres Orozco
In this paper we use a natural iteration technique to prove existence of solutions to nonlinear Dirichlet problems. Among the examples included is the prescribed mean curvature equ…
The Yamabe equation in small convex domains in and small balls in
Jean Carlos Cortissoz, Jonatán Torres Orozco
We show an iterative method to solve a Dirichlet problem for a Yamabe-type equation in small convex domains in and small balls in .
A note on the Maximum Principle and the Iteration Method for elliptic equations
Jean Cortissoz, Jonatán Torres-Orozco
We use an iteration procedure propped up by a a classical form of the maximum principle to show the existence of solutions to a nonlinear Poisson equation with Dirichlet boundary c…