Department of Mathematics and Statistics
McGill University
Montréeal, QC, Canada
email: edward.chernysh@mail.mcgill.ca
Edward Chernysh
Abstract:
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.
DOI: https://doi.org/10.58997/ejde.2021.28
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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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