| 一类Kirchhoff型方程解的多重性 |
| |
| 引用本文： | 万保成,李健,李士军.一类Kirchhoff型方程解的多重性[J].吉林大学学报(理学版),2013,51(2):233-236. |
| |
| 作者姓名： | 万保成 李健 李士军 |
| |
| 作者单位： | 吉林农业大学 信息技术学院, 长春 130118 |
| |
| 基金项目： | 吉林省自然科学基金(批准号:20101521);吉林省青年科研基金(批准号:201201095) |
| |
| 摘 要： | 考虑一类Kirchhoff型方程解的多重性, 利用非线性项在无穷远处与零点处的渐近行为及Ekeland变分原理和山路定理得到了所考虑方程的两个正解和两个负解.
|
| 关 键 词： | 多重性 正解 负解 Kirchhoff型方程 |
| 收稿时间： | 2012-07-27 |
Multiplicity of Solutions of Kirchhoff Type of Equations |
| |
| WAN Bao-cheng,LI Jian,LI Shi-jun.Multiplicity of Solutions of Kirchhoff Type of Equations[J].Journal of Jilin University: Sci Ed,2013,51(2):233-236. |
| |
| Authors: | WAN Bao-cheng LI Jian LI Shi-jun |
| |
| Institution: | College of Information Technology, Jilin Agricultural University, Changchun 130118, China |
| |
| Abstract: | The authors dealt with the multiplicity of solutions ofKirchhoff type of equations. Using the asymptotic properties of the nonlinearity at infinity and zero, we obtained two positive solutions and two negative solutions by means of the Ekeland variational principle and mountain pass theorem. |
| |
| Keywords: | multiplicity positive solutions negative solutions Kirchhoff type equations |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
