Solutions to semilinear elliptic problems with combined nonlinearities

doi:10.1006/jdeq.2001.4167

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	Solutions to semilinear elliptic problems with combined nonlinearities
	Li, SJ ; Wu, SP ; Zhou, HS
	2002-10-10
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	185 期号:1 页码:200-224
摘要	We are concerned with the following nonlinear Dirichlet problem: [GRAPHICS] where Omega is a bounded smooth domain in R-N (N greater than or equal to 1) and h(x) is an element of L-infinity(Omega), f(x, s) is asymptotically linear with respect to s at infinity. By a variant version of Mountain Pass Theorem, we prove that there exist at least two nonnegative solutions under suitable assumptions on f(x, s). Our methods also work for the cases where f(x, s) is superlinear or linear in s. (C) 2002 Elsevier Science (USA).
关键词	elliptic problem sublinear superlinear asymptotically linear Mountain Pass Theorem
DOI	10.1006/jdeq.2001.4167
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000179255200009
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/17532
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	1.Chinese Acad Sci, Wuhan Inst Phys & Math, Phys Math Lab, Wuhan 430071, Peoples R China 2.Chinese Acad Sci, Math Inst, Beijing 100080, Peoples R China 3.Zhejiang Univ, Dept Math, Hangzhou, Peoples R China
推荐引用方式 GB/T 7714	Li, SJ,Wu, SP,Zhou, HS. Solutions to semilinear elliptic problems with combined nonlinearities[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,185(1):200-224.
APA	Li, SJ,Wu, SP,&Zhou, HS.(2002).Solutions to semilinear elliptic problems with combined nonlinearities.JOURNAL OF DIFFERENTIAL EQUATIONS,185(1),200-224.
MLA	Li, SJ,et al."Solutions to semilinear elliptic problems with combined nonlinearities".JOURNAL OF DIFFERENTIAL EQUATIONS 185.1(2002):200-224.