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Research Article | Open Access

On a class of three coupled fractional Schrödinger systems with general nonlinearities

Dengfeng Lu1, Shuwei Dai2( )
School of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, China
College of Technology, Hubei Engineering University, Xiaogan 432000, China
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Abstract

In this paper, a class of systems of three-component coupled nonlinear fractional Schrödinger equations with general nonlinearities is investigated. Without any monotonicity condition and the Ambrosetti-Rabinowitz growth condition, we obtain some novel existence results of least energy solutions by using variational arguments and a Pohozaev manifold method.

Keywords

three coupled fractional Schrödinger systemvariational methodsgeneral nonlinearitiesleast energy solutionfully nontrivial solution
CLC number: 35A01, 35B38, 35J50

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 17142-17153
DOI: 10.3934/math.2023875

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Lu D, Dai S. On a class of three coupled fractional Schrödinger systems with general nonlinearities. AIMS Mathematics, 2023, 8(7): 17142-17153. https://doi.org/10.3934/math.2023875

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Received: 25 December 2022
Revised: 16 March 2023
Accepted: 20 March 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)