Solutions of a Schrödinger-Poisson system with combined nonlinearities

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• 作者：Mingzheng Sun^a ; Jiabao Su^b ; Leiga Zhao^c ; ^{zhaoleiga@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Schrö ; dinger&ndash ; Poisson equations ; Sublinear nonlinearity ; Variational methods
• 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：385-403
• 全文大小：421 K

文摘

In this paper, we are concerned with the following Schrödinger–Poisson system where le="Click to view the MathML source">λ>0$\lambda >0$ is a parameter, le="Click to view the MathML source">1<q<2$1<q<2$ and le="Click to view the MathML source">f(x,u)$f(x,u)$ is linearly bounded in u at infinity. We establish the existence and multiplicity of solutions under suitable assumptions on V, K and f.