Existence and Stability of Standing Waves For Schrödinger-Poisson-Slater Equation
Existence and Stability of Standing Waves For Schrödinger-Poisson-Slater Equation
复制标题
DOI：
10.1515/ans-2007-0305
复制
发表时间：
2007-08
影响因子：
1.8
通讯作者：
Hiroaki Kikuchi
中科院分区：
文献类型：
--
作者：
Hiroaki Kikuchi
摘要研究了三维空间中Schrödinger-Poisson-Slater方程驻波的存在性和稳定性。设p是非线性项的指数。然后我们首先证明驻波存在于10。当7/ 30等于0时。进一步，我们研究了p = 2的情况。我们用变分方法证明了这些结果。
Abstract We study the existence and stability of standing wave for the Schrödinger-Poisson-Slater equation in three dimensional space. Let p be the exponent of the nonlinear term. Then we first show that standing wave exists for 1 0. We also show that when 7/3 0. Furthermore, we investigate the case of p = 2. We prove these results by using variational methods.