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

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 system
• variational methods
• general nonlinearities
• least energy solution
• fully nontrivial solution