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Asymmetric critical p-Laplacian problems
Perera, Kanishka1; Yang, Yang2; Zhang, Zhitao3,4
2018-10-01
Source PublicationCALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN0944-2669
Volume57Issue:5Pages:18
AbstractWe 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.
DOI10.1007/s00526-018-1416-9
Language英语
Funding ProjectNSFC[11771428] ; NSFC[11688101] ; NSFC[11325107] ; NSFC[11501252] ; NSFC[11571176] ; Natural Science Foundation of Jiangsu Province of China for Young Scholars[BK2012109]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000441957300004
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31069
Collection数学所
Affiliation1.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
Recommended Citation
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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