GROUND STATE SOLUTIONS OF NEHARI-POHOZAEV TYPE FOR A FR ACTIONAL SCHRODINGER-POISSON SYSTEM WITH CRITICAL GROWTH  

作　　者：Wentao HUANG Li WANG 黄文涛;王莉(School of Basic Science,East China Jiaotong University,Nanchang 330013,China)

机构地区：[1]School of Basic Science,East China Jiaotong University,Nanchang 330013,China

出　　处：《Acta Mathematica Scientia》2020年第4期1064-1080,共17页数学物理学报（B辑英文版）

基　　金：the Science and Technology Project of Education Department in Jiangxi Province(GJJ180357);the second author was supported by NSFC(11701178).

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.

关 键 词：fractional Schrodinger-Poisson system Nehari-Pohozaev manifold ground state solutions critical growth 

分 类 号：O175.29[理学—数学]