Infinitely many bound state solutions of Kirchhoff problem in

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• 作者：Qilin Xie ^{xieqilinsxdt@163.com" class="auth_mail" title="E-mail the corresponding author} ; Shiwang Ma ; ^{shiwangm@163.net" class="auth_mail" title="E-mail the corresponding author} ; Xu Zhang ^{darkblue1121@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Kirchhoff type problem ; Infinitely ; Bound state solutions
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：29
• 期：Complete
• 页码：80-97
• 全文大小：613 K

文摘

In the present paper, we consider the following Kirchhoff problem where b>0$b>0$ and p∈(4,6)$p\in (4,6)$. Under some suitable decay assumptions but without any symmetry property on a(x)$a\left(x\right)$, we obtain infinitely many bound state solutions of this problem.