The existence of nontrivial solutions for fractional Schrödinger-Poisson equations in a bounded domain is discussed. Under different assumptions of nonlinearities, existence and multiplicity by variational methods and symmetric Mountain Pass theorem are obtained.
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王军,王莉,钟巧澄.分数阶Schrödinger-Poisson方程组解的存在性[J].华东交通大学学报英文版,2023,40(2):103-111. Wang Jun, Wang Li, Zhong Qiaocheng. Existence of Solutions for Fractional Schrödinger-Poisson Equations[J]. JOURNAL OF EAST CHINA JIAOTONG UNIVERSTTY,2023,40(2):103-111