On a class of three coupled fractional Schrödinger systems with general nonlinearities-Reference-Cited by-同舟云学术

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

Published:2023 Issue:7 Volume:8 Page:17142-17153
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Lu Dengfeng¹,Dai Shuwei²

Affiliation:

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

2. College of Technology, Hubei Engineering University, Xiaogan 432000, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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1. Ground states to a Kirchhoff equation with fractional Laplacian;AIMS Mathematics;2023