Stability of Schrdinger-Poisson type equations

被引：3
|
作者：
黄娟 [1 ]
张健 [1 ]
陈光淦 [1 ]
机构：
[1] College of Mathematics and Software Science,Sichuan Normal University
来源：
Applied Mathematics and Mechanics(English Edition) | 2009年 / 30卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Schrdinger-Poisson type equations; ground state; existence; orbital sta-bility;
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
070104 ;
摘要：
Variational methods are used to study the nonlinear Schrdinger-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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页码：1469 / 1474
页数：6
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