| On the Blowup Phenomenon for N-coupled Focusing SchrSdinger System in Rd （d≥ 3） |
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| 作者姓名： | Xing Dong TANG Ji Hui ZHANG |
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| 作者单位： | Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, P. R. China |
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| 摘 要： | We study blow-up, global existence and ground state solutions for the N-coupled focusing nonlinear SchrSdinger 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 L2 concentration for the blow-up solutions is obtained.
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| 关 键 词： | 爆破现象 耦合 系统 对焦 流形方法 有限时间 集中式 非线性 |
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