Positive solutions of an asymptotically periodic Schrödinger-Poisson system with critical exponent
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- 作者：Haidong Liu liuhaidong@mail.zjxu.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Generalized Schrö ; dinger&ndash ; Poisson system ; Asymptotically periodic ; Critical exponent ; Mountain pass theorem ; Concentration-compactness principle
- 刊名：Nonlinear Analysis: Real World Applications
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：32
- 期：Complete
- 页码：198-212
- 全文大小：658 K
文摘
Existence of one positive solution of the generalized Schrödinger–Poisson system 
where are asymptotically periodic functions of x, is proved by the mountain pass theorem and the concentration-compactness principle. The system with subcritical nonlocal term has been studied extensively in the last twenty years, while the system with critical nonlocal term has seldom been studied. It turns out that new techniques are needed in dealing with the case of critical nonlocal term.
are asymptotically periodic functions of x, is proved by the mountain pass theorem and the concentration-compactness principle. The system with subcritical nonlocal term has been studied extensively in the last twenty years, while the system with critical nonlocal term has seldom been studied. It turns out that new techniques are needed in dealing with the case of critical nonlocal term.