%0 Journal Article %T R3中一类Kirchhoff型方程变号解的存在性及集中性<br>EXISTENCE AND CONCENTRATION BEHAVIOR OF NODE SOLUTIONS FOR A KIRCHHOFF EQUATION IN R3 %A 作者 %A 彭艳芳 %J 数学杂志 %D 2015 %X 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.<br>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] %K 惩罚函数 变号解 极大极小方法 集中性< %K br> %K truncation method nodal solution mini-max method concentration behavior %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150109&flag=1