| 一类退化椭圆方程在高阶特征值处近共振的多重解 |
| |
| 引用本文： | 安育成,索洪敏.一类退化椭圆方程在高阶特征值处近共振的多重解[J].四川轻化工学院学报,2011(5):599-603. |
| |
| 作者姓名： | 安育成 索洪敏 |
| |
| 作者单位： | [1]贵州民族学院理学院,贵阳550025 [2]毕节学院数学与计算机科学学院,贵州毕节551700 |
| |
| 基金项目： | 毕节地区科学技术基金资助项目（[2011]02） |
| |
| 摘 要： | 通过对一类退化椭圆方程的研究,利用临界点理论中的极小极大原理和一个广义的Landesman-Lazer类型条件,获得了退化椭圆方程在高阶特征值处近共振的多重解。
|
| 关 键 词： | 退化椭圆方程 极小极大原理 Landesman-Lazer类型条件 多重解 |
Multiple Solutions for Degenerate Elliptic Equations Near Resonance at Higher Eigenvalues |
| |
| An Yu-cheng,Suo Hong-min.Multiple Solutions for Degenerate Elliptic Equations Near Resonance at Higher Eigenvalues[J].Journal of Sichuan Institute of Light Industry and Chemical Technology,2011(5):599-603. |
| |
| Authors: | An Yu-cheng Suo Hong-min |
| |
| Affiliation: | 1.School of Science,Guizhou University for Nationalities,Guiyang 550025,China; 2.School of Mathematics and Computer Science of Bijie University,Bijie 551700,China) |
| |
| Abstract: | A class of degenerate elliptic equations is studied.By using the minimax methods in critical point theory and a generalized Landesman-Lazer type condition,multiple solutions are obtained for a class of degenerate elliptic equations near resonance at higher eigenvalues. |
| |
| Keywords: | degenerate elliptic equations minimax methods Landesman-Lazer type condition multiple solutions |
| 本文献已被 维普 等数据库收录！ |
