Multiple solutions for a fourth-order asymptotically linear elliptic problem

doi:10.1007/s10114-005-0665-7

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	Multiple solutions for a fourth-order asymptotically linear elliptic problem
	Qian, Ai Xia ; Li, Shu Jie
	2006-07-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	22 期号:4 页码:1121-1126
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	fourth-order elliptic boundary value problem Mountain Pass theorem Morse theory
DOI	10.1007/s10114-005-0665-7
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000239319400016
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3291
专题	中国科学院数学与系统科学研究院
通讯作者	Qian, Ai Xia
作者单位	1.Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Qian, Ai Xia,Li, Shu Jie. Multiple solutions for a fourth-order asymptotically linear elliptic problem[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2006,22(4):1121-1126.
APA	Qian, Ai Xia,&Li, Shu Jie.(2006).Multiple solutions for a fourth-order asymptotically linear elliptic problem.ACTA MATHEMATICA SINICA-ENGLISH SERIES,22(4),1121-1126.
MLA	Qian, Ai Xia,et al."Multiple solutions for a fourth-order asymptotically linear elliptic problem".ACTA MATHEMATICA SINICA-ENGLISH SERIES 22.4(2006):1121-1126.