节的
物理
类型(生物学)
基态
数学分析
国家(计算机科学)
数学
数学物理
地质学
量子力学
算法
医学
解剖
古生物学
作者
Chun-Lei Tang,Xiaojing Zhong
出处
期刊:Communications on Pure and Applied Analysis
[American Institute of Mathematical Sciences]
日期:2017-01-01
卷期号:16 (2): 611-627
被引量:9
摘要
In this paper, we investigate the existence and nonexistence of ground state nodal solutions to a class of Kirchhoff type problems \begin{document} $ -\left( a+b\int_{\Omega }{|}\nabla u{{|}.{2}}dx \right)\vartriangle u=\lambda u+|u{{|}.{2}}u, u\in H_{0}.{1}(\Omega ), $ \end{document} where $a, b>0$, $\lambda 0$ such that the Kirchhoff type problem possesses at least one ground state nodal solution $u_b$ for all $0 21 ], X.H. Tang and B.T. Cheng (2016)[ 22 ].
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