| Multiple Solutions for a Fourth-order Asymptotically Linear Elliptic Problem |
| |
| 作者姓名： | Ai Xia QIAN Shu Jie LI |
| |
| 作者单位： | [1]Department of Mathematics, Qufu Normal University, Qufu 273165, P. R. China [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China |
| |
| 基金项目： | Supported by the ＂973＂ Program of the Chinese National Science Foundation and the Foundation of Chinese Academy of Sciences |
| |
| 摘 要： | Under simple conditions, we prove the existence of three solutions for a fourth-order asymptotically linear elliptic boundary value problem. For the resonance case at infinity, we do not need to assume any more conditions to ensure the boundedness of the （PS） sequence of the corresponding functional.
|
| 关 键 词： | 四阶椭圆边界价值问题 Morse理论 序列 线性椭圆边界 |
| 收稿时间： | 2003-12-29 |
| 修稿时间： | 2003-12-292004-12-02 |
Multiple Solutions for a Fourth–order Asymptotically Linear Elliptic Problem |
| |
| Ai Xia QIAN Shu Jie LI.Multiple Solutions for a Fourth-order Asymptotically Linear Elliptic Problem[J].Acta Mathematica Sinica,2006,22(4):1121-1126. |
| |
| Authors: | Ai Xia Qian Shu Jie Li |
| |
| Institution: | (1) Department of Mathematics, Qufu Normal University, Qufu 273165, P. R. China;(2) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China |
| |
| Abstract: | Under simple conditions, we prove the existence of three solutions for a fourth–order asymptotically linear elliptic boundary
value problem. For the resonance case at infinity, we do not need to assume any more conditions to ensure the boundedness
of the (PS) sequence of the corresponding functional.
Supported by the "973" Program of the Chinese National Science Foundation and the Foundation of Chinese Academy of Sciences |
| |
| Keywords: | Fourth-order elliptic boundary value problem Mountain Pass theorem Morse theory |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
