| Existence and Concentration of Ground States of Coupled Nonlinear Schr¨odinger Equations with Bounded Potentials |
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| 作者姓名： | Gongming WEI |
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| 基金项目： | Project supported by the Research Project of Shanghai Municipal Education Commission （No. 07zz83）. |
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| 摘 要： | A 2-coupled nonlinear Schrbdinger equations with bounded varying potentials and strongly attractive interactions is considered. When the attractive interaction is strong enough, the existence of a ground state for sufficiently small Planck constant is proved. As the Planck constant approaches zero, it is proved that one of the components concentrates at a minimum point of the ground state energy function which is defined in Section 4.
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| 关 键 词： | 浓缩度 复流形 临界点理论 数学分析 |
| 收稿时间： | 3/7/2015 12:00:00 AM |
Existence and concentration of ground states of coupled nonlinear Schrödinger equations with bounded potentials |
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| Gongming WEI.Existence and concentration of ground states of coupled nonlinear Schrödinger equations with bounded potentials[J].Chinese Annals of Mathematics,Series B,2008,29(3):247-264. |
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| Authors: | Gongming WEI |
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| Institution: | (1) College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China |
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| Abstract: | A 2-coupled nonlinear Schrödinger equations with bounded varying potentials and strongly attractive interactions is considered. When the attractive interaction is strong enough, the existence of a ground state for sufficiently small Planck constant is proved. As the Planck constant approaches zero, it is proved that one of the components concentrates at a minimum point of the ground state energy function which is defined in Section 4. |
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| Keywords: | Concentration Nehari’ s manifold Critical point theory Concentration-compactness principle |
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