Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities

doi:10.1016/j.jmaa.2010.05.045

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	Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities
	Zhang, Jing 1,2; Li, Shujie 2,3; Wang, Yuwen 2; Xue, Xiaoping 1
	2010-11-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	371 期号:2 页码:682-690
摘要	We obtain nonconstant solutions of semilinear elliptic Neumann boundary value problems with jumping nonlinearities when the asymptotic limits of the nonlinearity fall in the type (I(t)), l > 2 and (II(t)), l >= 1 regions formed by the curves of the Fucik spectrum. Furthermore, we have at least two nonconstant solutions in every order interval under resonance case. In this paper, we apply the sub-sup solution method. Fucik spectrum, mountain pass theorem in order intervals, degree theory and Morse theory to get the conclusions. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Semilinear elliptic equations Neumann boundary condition Multiple solutions Jumping nonlinearity Fucik spectrum Degree theory Morse theory
DOI	10.1016/j.jmaa.2010.05.045
语种	英语
资助项目	NSFC[10671049] ; NSFC[YJSCX 2008-157 HLJ] ; NSFC[10471098] ; NSFC[10671195]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000280566900028
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/10722
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Jing
作者单位	1.Harbin Inst Technol, Dept Math, Harbin, Peoples R China 2.Yuan Yung Tseng Funct Anal Res Ctr, Harbin 150025, Peoples R China 3.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Jing,Li, Shujie,Wang, Yuwen,et al. Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,371(2):682-690.
APA	Zhang, Jing,Li, Shujie,Wang, Yuwen,&Xue, Xiaoping.(2010).Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,371(2),682-690.
MLA	Zhang, Jing,et al."Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 371.2(2010):682-690.