| Stability of Schrödinger-Poisson type equations |
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| 作者姓名： | 黄娟 张健 陈光淦 |
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| 作者单位： | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China |
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| 基金项目： | the National Natural Science Foundation of China，the Scientific Research Fund of Sichuan Provincial Education Department，the Scientific Research Fund of Science and Technology Bureau of Sichuan Province |
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| 摘 要： | Variational methods are used to study the nonlinear SchrSdinger-Poisson type equations which model the electromagnetic wave propagating in the plasma in physics. By analyzing the Hamiltonian property to construct a constrained variational problem, the existence of the ground state of the system is obtained. Furthermore, it is shown that the ground state is orbitally stable.
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| 关 键 词： | 稳定性 薛定谔 方程 泊松型 等离子体物理 泊松模型 变分方法 变分问题 |
| 收稿时间： | 2008-01-02 |
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