Abstract This article deals with a class of nonlinear fractional p -Laplacian Schr <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <m:mrow> <m:mover accent="true"> <m:mrow> <m:mi>o</m:mi> </m:mrow> <m:mo>̈</m:mo> </m:mover> </m:mrow> </m:math> $\ddot{o}$ dinger coupled system with critical and subcritical nonlinear terms. Firstly, the existence of a nonnegative ground state solution of the system is proved by the Nehari manifold method and the Ekeland’s variational principle. In addition, through the Ljusternik–Schnirelmann theory, we link the number of solutions to the topology of the set in which the potentials in the system reach their minimum values.

Yan Qiao

Fangqi Chen

Yukun An

International Journal of Nonlinear Sciences and Numerical Simulation

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION 发表与非线性科学和数值模拟相关的所有主题的原创论文。该杂志面向非线性科学、工程师和计算科学家、经济学家和其他研究人员，他们要么研究非线性问题的性质，要么对非线性问题进行数值模拟。

The International Journal of Nonlinear Sciences and Numerical Simulation publishes original research papers related to all aspects of nonlinear sciences and numerical simulations. This journal is aimed at researchers in nonlinear science, engineering, computational science, economics, and other fields who study the nature of nonlinear problems or conduct numerical simulations of such problems.

《International Journal of Nonlinear Sciences and Numerical Simulation》发表与非线性科学和数值模拟相关的原创研究论文。该期刊面向非线性科学、工程、计算科学、经济学等领域的研究人员，特别是那些研究非线性问题特性或进行非线性问题数值模拟的学者。

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工程技术	4
工程技术, 工程综合	4
工程技术, 应用数学	4
工程技术, 力学	4
工程技术, 物理数学物理	4

Ground state solutions of Schrödinger system with fractional p-Laplacian

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PHYSICS, MATHEMATICAL	2