Chernysh, Edward2021-08-232021-08-232021-04-13Chernysh, E. (2021). Weakly monotone decreasing solutions to elliptic Schrödinger integral system. <i>Electronic Journal of Differential Equations, 2021</i>(28), pp. 1-11.1072-6691https://hdl.handle.net/10877/14425In 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalElliptic Schrödinger systemPoly-harmonic equationA priori decay estimateWeakly monotone decreasing solutionArticle