Weakly monotone decreasing solutions to elliptic Schrödinger integral system

Abstract

In this article, we study positive solutions to an elliptic Schrödinger system in Rn for n ≥ 2. We give general conditions guaranteeing the non-existence of positive solutions and introduce weakly monotone decreasing functions. We also establish lower-bounds on the decay rates of positive solutions and obtain upper-bounds when these are weakly monotone decreasing.