Multiple solutions of nonlinear elliptic equations for oscillation problems

doi:10.1016/j.jmaa.2004.08.047

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	Multiple solutions of nonlinear elliptic equations for oscillation problems
	Li, C ; Ding, YH ; Li, SJ
	2005-03-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	303 期号:2 页码:477-485
摘要	We discussed oscillating equations with Neumann boundary value in [Nonlinear Anal. 54 (2003) 431-443] and [J. Math. Anal. Appl. 298 (2004) 14-32] and prove the existence of infinitely many nonconstant solutions. However, it seems difficult to find infinitely many disjoint order intervals for oscillating equations with Dirichlet boundary value. To get rid of this difficulty, in this paper, we build up a mountain pass theorem in half-order intervals and use it to study oscillating problems with Dirichlet boundary value in which we only have the existence of super-solutions (or sub-solutions) and obtain new results on the exactly infinitely many solutions. (C) 2004 Elsevier Inc. All rights reserved.
关键词	mountain pass theorem half-order intervals oscillating problems
DOI	10.1016/j.jmaa.2004.08.047
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000227390200009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1616
专题	中国科学院数学与系统科学研究院
通讯作者	Li, C
作者单位	1.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Tsing Hua Univ, Inst Math, Acad Math & Syst Sci, Beijing 100084, Peoples R China 3.Acad Sinica, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, C,Ding, YH,Li, SJ. Multiple solutions of nonlinear elliptic equations for oscillation problems[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2005,303(2):477-485.
APA	Li, C,Ding, YH,&Li, SJ.(2005).Multiple solutions of nonlinear elliptic equations for oscillation problems.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,303(2),477-485.
MLA	Li, C,et al."Multiple solutions of nonlinear elliptic equations for oscillation problems".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 303.2(2005):477-485.