Electronic Journal of Differential Equations, 
Vol. 2021 (2021), No. 28, pp. 1-11.

Title: Weakly monotone decreasing solutions to elliptic Schrodinger integral system
       
Author: Edward Chernysh (McGill Univ., Montreal, QC, Canada)

Abstract:
 In this article, we study positive solutions to an elliptic Schrodinger system
 in R<sup>n</sup> for n&ge;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.

Submitted May 4, 2019. Published April 13, 2021.
Math Subject Classifications: 35J60, 45G15, 35B45.
Key Words: Elliptic Schrodinger system; poly-harmonic equation;
           a priori decay estimate; weakly monotone decreasing solution.