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math.AP2026
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…
math.AP2025
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…
math.AP2025
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…