Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity

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• 作者：Chun-Yu Lei ; ^{leichygzu@sina.cn" class="auth_mail" title="E-mail the corresponding author} ; Gao-Sheng Liu ; Liu-Tao Guo
• 关键词：Kirchhoff type equation ; Critical exponents ; Concave&ndash ; convex ; Concentration compactness principle
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：31
• 期：Complete
• 页码：343-355
• 全文大小：572 K

文摘

In this paper, we study the multiplicity results of positive solutions for a Kirchhoff type problem with critical growth, with the help of the concentration compactness principle, and we prove that problem admits two positive solutions, and one of the solutions is a positive ground state solution.