Strongly indefinite functionals and multiple solutions of elliptic systems

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	Strongly indefinite functionals and multiple solutions of elliptic systems
	De Figueiredo, DG ; Ding, YH
	2003
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
卷号	355 期号:7 页码:2973-2989
摘要	We study existence and multiplicity of solutions of the elliptic system (GRAPHICS) where Omega subset of R-N; Ngreater than or equal to3, is a smooth bounded domain and His an element ofC(1) ((Omega) over barx R-2, R). We assume that the nonlinear term (GRAPHICS) where p is an element of (1, 2), 2 := 2N/(N-2), and q is an element of (1,infinity). So some supercritical systems are included. Nontrivial solutions are obtained. When H(x, u, v) is even in (u, v), we show that the system possesses a sequence of solutions associated with a sequence of positive energies (resp. negative energies) going toward infinity (resp. zero) if p>2 (resp. p<2). All results are proved using variational methods. Some new critical point theorems for strongly indefinite functionals are proved.
关键词	elliptic system multiple solutions critical point theory
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000182170300018
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18960
专题	数学所
通讯作者	De Figueiredo, DG
作者单位	1.Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP, Brazil 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	De Figueiredo, DG,Ding, YH. Strongly indefinite functionals and multiple solutions of elliptic systems[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2003,355(7):2973-2989.
APA	De Figueiredo, DG,&Ding, YH.(2003).Strongly indefinite functionals and multiple solutions of elliptic systems.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,355(7),2973-2989.
MLA	De Figueiredo, DG,et al."Strongly indefinite functionals and multiple solutions of elliptic systems".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 355.7(2003):2973-2989.