On the Blowup Phenomenon for N-coupled Focusing Schrdinger System in R~d(d≥3) 期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the Blowup Phenomenon for N-coupled Focusing Schrdinger System in R~d(d≥3)

基金项目：	Supported by National Natural Science Foundation of China(Grant No.10871096);the Project of GraduateEducation Innovation of Jiangsu Province(Grant No.CXLX13 367)

摘要：	We study blow-up,global existence and ground state solutions for the N-coupled focusing nonlinear Schr¨odinger equations.Firstly,using the Nehari manifold approach and some variational techniques,the existence of ground state solutions to the equations(CNLS) is established.Secondly,under certain conditions,finite time blow-up phenomena of the solutions is derived.Finally,by introducing a refined version of compactness lemma,the L2concentration for the blow-up solutions is obtained.
关键词：	Schrdinger equations blow-up ground state mass concentration
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