Weakly monotone decreasing solutions to elliptic Schrödinger integral system
Date
2021-04-13
Authors
Chernysh, Edward
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Elliptic Schrödinger system, Poly-harmonic equation, A priori decay estimate, Weakly monotone decreasing solution
Citation
Chernysh, E. (2021). Weakly monotone decreasing solutions to elliptic Schrödinger integral system. <i>Electronic Journal of Differential Equations, 2021</i>(28), pp. 1-11.
Rights
Attribution 4.0 International