In this article, we study positive solutions to an elliptic Schrodinger 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.
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.
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| Edward Chernysh |
Department of Mathematics and Statistics
Montréeal, QC, Canada
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