Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities

CSpace

	Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities
	Li, SJ; Zhang, ZT
	2000
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1000-9574
卷号	16 期号:1 页码:113-122
摘要	In this paper, we use the ordinary differential equation theory of Banach spaces and minimax theory, and in particular, the relative mountain pass lemma to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity, and get new multiple solutions and sign-changing solutions theorems, at last we get up to six nontrivial solutions.
关键词	sign-changing solutions Dirichlet problems multiple solutions jumping nonlinearities
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000085451000010
出版者	SPRINGER-VERLAG SINGAPORE PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15211
专题	中国科学院数学与系统科学研究院
通讯作者	Li, SJ
作者单位	Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, SJ,Zhang, ZT. Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2000,16(1):113-122.
APA	Li, SJ,&Zhang, ZT.(2000).Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities.ACTA MATHEMATICA SINICA-ENGLISH SERIES,16(1),113-122.
MLA	Li, SJ,et al."Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities".ACTA MATHEMATICA SINICA-ENGLISH SERIES 16.1(2000):113-122.