Multiple solutions for a fourth-order asymptotically linear elliptic problem

被引：14
|
作者：
Qian, Ai Xia [1 ]
Li, Shu Jie
机构：
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 04期
基金：
中国国家自然科学基金;
关键词：
fourth-order elliptic boundary value problem; Mountain Pass theorem; Morse theory;
D O I：
10.1007/s10114-005-0665-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：1121 / 1126
页数：6
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