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《Journal of Jiangxi Normal University(Natural Science Edition)》 2018-03
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The Existence of Positive Radial Solutions for a Class of Coupled Schrodinger System

ZHANG Jing;Zeng Yuanrong Functional Analysis Research Center,Harbin Normal University;  
The following nonlinear Schrodinger system{-Δu+u=h(u)+λ2uv~2/(1+u~2v~2),x∈R~N,-Δv+v=g(v)+λ2u~2v/(1+u~2v~2),x∈R~N,u→0,v→0,x→+∞ is studied. Under some assumptions on h and g,there is λ_0∈(0,1),such that,for any λ∈(0,λ_0),the existence of positive radial solutions is obtained.
【Fund】: 国家自然科学基金(11326098)资助项目
【CateGory Index】: O175
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