We study the following nonlinear fractional Schrodinger-Poisson system with critical growth:{(-△)sμ+μ+φμ=f(μ)+|μ|2s-2μ,x∈R3.(-△)tφ=μ2x∈R3,(0.1)where 03 and 2s=6/3-2s is the critical Sobolev exponent in 1R3.Under some more general assumptions on f,we prove that(0.1)admits a nontrivial ground state solution by using a constrained minimization on a Nehari-Pohozaev manifold.
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机译:Finite Type System of Partial Differential Operators and Decomposition of Solutions of Partial Differential Equations (位相解析的方法による偏微分方程式论研究会及び散乱理论の数学研究会报告集)