【摘要】 研究了下述带有一般位势的分数阶薛定谔-泊松系统的基态解的存在问题■其中(-Δ)~s和(-Δ)~t代表了分数阶拉普拉斯,0<s≤t<1而且2s+2t>3,位势V(x)弱可微,f∈C(R,R).在位势函数V(x)以及非线性项f(u)满足一定假设下,利用Jeanjean单调技巧和全局紧性引理,得到了该问题Nehari-Pohozaev型基态解的存在性.更多还原

【Abstract】 In this paper,we consider the existence of ground state solutions to the following fractional Schr?dinger-Poisson systems with a general potential■where(-Δ)~s and(-Δ)~t denote the fractional Laplacian,0<s≤t<1 and 2s+2t>3,the potential V(x) is weakly differentiable and f∈C(R,R). Under some assumptions on potential V(x) and f(u),a nontrivial ground state solutions of Nehari-Pohozaev type(u,φ) is established through using a subtle approach developed by Jeanjean and global compactness Lemma.更多还原