Asymmetric critical p-Laplacian problems

doi:10.1007/s00526-018-1416-9

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	Asymmetric critical p-Laplacian problems
	Perera, Kanishka 1; Yang, Yang 2; Zhang, Zhitao3,4
刊名	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
	2018-10-01
卷号	57 期号:5 页码:18
ISSN号	0944-2669
DOI	10.1007/s00526-018-1416-9
英文摘要	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.
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
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000441957300004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31068]
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.