| R3中一类Kirchhoff型方程变号解的存在性及集中性 |
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| 引用本文： | 彭艳芳. R3中一类Kirchhoff型方程变号解的存在性及集中性[J]. 数学杂志, 2015, 35(1): 75-84 |
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| 作者姓名： | 彭艳芳 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院,贵州贵阳,550001 |
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| 基金项目： | Supported by the Science and Technology Foundation of Guizhou Province, China (LKS[2013] 03). |
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| 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。
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| 关 键 词： | 惩罚函数 变号解 极大极小方法 集中性 |
| 收稿时间： | 2012-10-18 |
| 修稿时间： | 2013-10-30 |
EXISTENCE AND CONCENTRATION BEHAVIOR OF NODE SOLUTIONS FOR A KIRCHHOFF EQUATION IN R3 |
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| PENG Yan-fang. EXISTENCE AND CONCENTRATION BEHAVIOR OF NODE SOLUTIONS FOR A KIRCHHOFF EQUATION IN R3[J]. Journal of Mathematics, 2015, 35(1): 75-84 |
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| Authors: | PENG Yan-fang |
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| Affiliation: | Department of Math. and Comput. Sci., Guizhou Normal University, Guiyang 550001, China |
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| Abstract: | 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]. |
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| Keywords: | truncation method nodal solution mini-max method concentration behavior |
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