Multiplicity results for the Kirchhoff type equations with critical growth

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• 作者：Liu Yang^a ; Zhisu Liu^b ; ^{liuzhisu183@sina.com" class="auth_mail" title="E-mail the corresponding author} ; Zigen Ouyang^b
• 关键词：Multiplicity ; Kirchhoff type equation ; Critical growth
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：63
• 期：Complete
• 页码：118-123
• 全文大小：590 K

文摘

In this paper, we study the following Kirchhoff type equation with critical growth where a>0,b≥0$a>0,b\ge 0$ and Ω$\Omega$ is a smooth bounded domain in R³${\mathbb{R}}^3$. When the real parameter μ$\mu$ is larger than some positive constant, we investigate the multiplicity of nontrivial solutions for the above problem with parameter λ$\lambda$ belonging to a left neighborhood of the Dirichlet eigenvalue of the Laplacian operator −△$-△$.