Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem

doi:10.1007/s00526-017-1111-2

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	Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem
	Li, Chong1,2 ; Liu, Yanyan 1
	2017-04-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	56 期号:2 页码:14
摘要	This paper is concerned with multiplicity results for semilinear elliptic equations of the type -Delta u + a(x)u = vertical bar u vertical bar(p-2) u + f (x, u) in Omega, u = 0 on partial derivative Omega. We obtain at least two nontrivial solutions for this type of equations with the case that 0 is not a local minimizer of the corresponding functional under suitable hypotheses. The method we used here is based on a linking structure relevant to the Nehari manifold.
DOI	10.1007/s00526-017-1111-2
语种	英语
资助项目	NSFC[11471319] ; BCMIIS (Beijing Center for Mathematics and Information Interdisciplinary Sciences)
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000394317400004
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24856
专题	数学所
通讯作者	Li, Chong
作者单位	1.Acad Sinica, Inst Math, AMSS, Beijing 100190, Peoples R China 2.BCMIIS, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, Chong,Liu, Yanyan. Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2017,56(2):14.
APA	Li, Chong,&Liu, Yanyan.(2017).Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,56(2),14.
MLA	Li, Chong,et al."Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 56.2(2017):14.