In this paper we study the ground state solutions for a class of critical fractional Schrödinger-Poisson system.Since the minimum value of the energy functional is greater than zero,which can not be easily obtained by variational method,thus,the Pohozaev type identity and the Nehari-Pohozaev-Palais-Smale sequence are constructed to overcome this difficulty.Under suitable assumptions for nonlinear terms f and parameters,by the variational methods,the existence of the ground states solutions is obtained.
关键词
基态解/变分方法/临界增长/陡峭位势/分数阶Schrödinger-Poisson系统
Key words
ground state solutions/variational methods/critical growth/steep potential well/fractional Schrödinger-Poisson system
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