Edward Chernysh (McGill University)

Title: Weakly Monotone Decreasing Solutions to an Elliptic Schrödinger System
Abstract: In this talk we study positive super-solutions to an elliptic Schrödinger system in R^n for n\geq3. We give conditions guaranteeing the non-existence of positive solutions and introduce weakly monotone decreasing functions. We establish lower-bounds on the decay rates of positive solutions and obtain upper-bounds when these are weakly monotone decreasing.