R3中一类Kirchhoff 型方程变号解的存在性及集中性

摘要

本文研究了一类Kirchhoff型方程。利用极大极小原理及惩罚函数方法，证明了上述方程变号解的存在性及集中性，我们的结果推广了文献[4]的结果。%In this paper, we investigate a nonlinear Kirchhoff type problem. By virtue of mini-max and truncation methods, we obtain the existence of nodal solutions and concentration behavior to Kirchhoff type problem, which extend the results in [4].