Infinitely many small solutions for a sublinear Schrödinger-Poisson system with sign-changing potential

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• 作者：Gui Bao ^{baoguigui@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Sublinear ; Schrö ; dinger&ndash ; Poisson system ; Dual approach ; Small solutions
• 刊名：Computers & Mathematics with Applications
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：71
• 期：10
• 页码：2082-2088
• 全文大小：352 K

文摘

In this paper, we study the existence of infinitely many small solutions for a class of sublinear Schrödinger–Poisson system with sign-changing potential. By using a dual approach, we prove that the problem has infinitely many small solutions. As a main novelty with respect to some previous results, we do not require any growth condition on the nonlinear term.