Asymmetric critical p-Laplacian problems | |
Perera, Kanishka1; Yang, Yang2; Zhang, Zhitao3,4 | |
2018-10-01 | |
发表期刊 | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS |
ISSN | 0944-2669 |
卷号 | 57期号:5页码:18 |
摘要 | We obtain nontrivial solutions for two types of asymmetric critical p-Laplacian problems with Ambrosetti-Prodi type nonlinearities in a smooth bounded domain in R-N, N >= 2. For 1 < p < N, we consider an asymmetric problem involving the critical Sobolev exponent p* = Np/(N - p). In the borderline case p = N, we consider an asymmetric critical exponential nonlinearity of the Trudinger-Moser type. In the absence of a suitable direct sum decomposition, we use a linking theorem based on the Z(2)-cohomological index to prove existence of solutions. |
DOI | 10.1007/s00526-018-1416-9 |
语种 | 英语 |
资助项目 | NSFC[11771428] ; NSFC[11688101] ; NSFC[11325107] ; NSFC[11501252] ; NSFC[11571176] ; Natural Science Foundation of Jiangsu Province of China for Young Scholars[BK2012109] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000441957300004 |
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/31069 |
专题 | 数学所 |
通讯作者 | Zhang, Zhitao |
作者单位 | 1.Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA 2.Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, HCMS, HLM,CEMS, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Perera, Kanishka,Yang, Yang,Zhang, Zhitao. Asymmetric critical p-Laplacian problems[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2018,57(5):18. |
APA | Perera, Kanishka,Yang, Yang,&Zhang, Zhitao.(2018).Asymmetric critical p-Laplacian problems.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,57(5),18. |
MLA | Perera, Kanishka,et al."Asymmetric critical p-Laplacian problems".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 57.5(2018):18. |
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