Electron. J. Differential Equations, Vol. 2021 (2021), No. 28, pp. 1-11.

Weakly monotone decreasing solutions to elliptic Schrodinger integral system

Edward Chernysh

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
McGill University
Montréeal, QC, Canada
email: edward.chernysh@mail.mcgill.ca

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