An elliptic equation with concave and convex nonlinearities

doi:10.1016/S0362-546X(03)00020-8

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	An elliptic equation with concave and convex nonlinearities
	Liu, SB; Li, SJ
	2003-06-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	53 期号:6 页码:723-731
摘要	We obtain infinitely many solutions for the problem -Delta(p)u - lambdag(x)\u\(p-2)u = k(x)\u\(q-2)u-h(x)\u\(s-2)u in R-N, where N greater than or equal to 3, 1 < q < p < s. Our result extends those of Tonkes (Topology Methods Nonlinear Anal. 13 (1999) 251) in two aspects: we don't require s less than or equal to p*, and the requirements on the weight h also be relaxed. (C) 2003 Elsevier Science Ltd. All rights reserved.
关键词	p-Laplacian critical points (PS) condition Z(2)-genus
DOI	10.1016/S0362-546X(03)00020-8
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000182287800001
出版者	PERGAMON-ELSEVIER SCIENCE 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/18428
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, SB
作者单位	Acad Sinica, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, SB,Li, SJ. An elliptic equation with concave and convex nonlinearities[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2003,53(6):723-731.
APA	Liu, SB,&Li, SJ.(2003).An elliptic equation with concave and convex nonlinearities.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,53(6),723-731.
MLA	Liu, SB,et al."An elliptic equation with concave and convex nonlinearities".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 53.6(2003):723-731.