Existence of non-trivial solution for a class of modified Schrödinger-Poisson equations via perturbation method

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• 作者：Xiaojing Feng ; ^{fengxj@sxu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Ying Zhang ^{shanxizhangying21@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Modified Schr&ouml ; dinger&ndash ; Poisson ; Perturbation methods ; Non-trivial solution
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：15 October 2016
• 年：2016
• 卷：442
• 期：2
• 页码：673-684
• 全文大小：323 K

文摘

In this paper, by using the methods of perturbation and the Mountain pass theorem, we prove the existence of non-trivial solution to a class of modified Schrödinger–Poisson equations.