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

Dengfeng Lu; Shuwei Dai; Dengfeng Lu; Shuwei Dai

doi:10.3934/math.2023875

AIMS Mathematics

2023, Volume 8, Issue 7: 17142-17153. doi: 10.3934/math.2023875

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Research article

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

Dengfeng Lu ¹,
Shuwei Dai ^{2
,
,}

1.
School of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, China
2.
College of Technology, Hubei Engineering University, Xiaogan 432000, China

Received: 25 December 2022 Revised: 16 March 2023 Accepted: 20 March 2023 Published: 17 May 2023
MSC : 35A01, 35B38, 35J50

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.
- three coupled fractional Schrödinger system,
- variational methods,
- general nonlinearities,
- least energy solution,
- fully nontrivial solution
Citation: Dengfeng Lu, Shuwei Dai. On a class of three coupled fractional Schrödinger systems with general nonlinearities[J]. AIMS Mathematics, 2023, 8(7): 17142-17153. doi: 10.3934/math.2023875

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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.

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