Existence of solutions for Kirchhoff type problems in Musielak-Orlicz-Sobolev spaces

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• 作者：Zhongrui Shi^a ; ^{zshi@shu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Shujun Wu^a ; ^b ; ^{wushujun1981@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Kirchhoff type problems ; Musielak&ndash ; Orlicz&ndash ; Sobolev spaces ; Weak solutions ; Mountain pass theorem
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：15 April 2016
• 年：2016
• 卷：436
• 期：2
• 页码：1002-1016
• 全文大小：410 K

文摘

In this paper, we investigate a class of Kirchhoff type problem with Neumann boundary data in Musielak–Orlicz–Sobolev spaces. Using the Musielak–Orlicz theory and Mountain pass theorem, we establish the existence of nontrivial weak solutions which generalizes the existing results.