Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem | |
Li, Chong1,2; Liu, Yanyan1 | |
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. |
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