Article contents
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system
Published online by Cambridge University Press: 13 December 2021
Abstract
In this paper, we are concerned with the physically engaging pseudo-relativistic Schrödinger system:
and the mass $m>0.$
By using the direct method of moving plane, we prove the strict monotonicity, symmetry and uniqueness for positive solutions to the above system in a bounded domain, unbounded domain, $\mathbb {R}^{N}$
, $\mathbb {R}^{N}_{+}$
and a coercive epigraph domain $\Omega$
in $\mathbb {R}^{N}$
, respectively.
Keywords
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 153 , Issue 1 , February 2023 , pp. 196 - 228
- Copyright
- Copyright © The Author(s), 2021. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh
References
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