Ground state solutions for fractional Schrödinger systems without monotonicity condition

Neither any monotonicity condition nor any Ambrosetti–Rabinowitz growth condition is required, some novel existence results of ground state solutions for a class of nonlinear fractional Schrödinger systems have been discovered. Lack of these conditions would entail some difficulties that we would ov...

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Bibliographic Details
Published in:Applied mathematics letters 2020-10, Vol.108, p.106504, Article 106504
Main Authors: Lü, Dengfeng, Dai, Shu-Wei
Format: Article
Language:English
Subjects:
Fractional Schrödinger system
Ground state solution
Monotonicity condition
Pohozaev manifold
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Summary:Neither any monotonicity condition nor any Ambrosetti–Rabinowitz growth condition is required, some novel existence results of ground state solutions for a class of nonlinear fractional Schrödinger systems have been discovered. Lack of these conditions would entail some difficulties that we would overcome.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106504