摘要
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 0<s,t<1,2s+2t>3 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.
作者
Wentao HUANG
Li WANG
黄文涛;王莉(School of Basic Science,East China Jiaotong University,Nanchang 330013,China)
基金
the Science and Technology Project of Education Department in Jiangxi Province(GJJ180357)
the second author was supported by NSFC(11701178).
