Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents

doi:10.1016/j.jmaa.2003.09.045

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	Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents
	Cao, DM; Han, PG
	2004
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	289 期号:1 页码:200-215
摘要	In this paper, we study the existence of multiple positive solutions to some Hamiltonian elliptic systems -Deltav = lambdau + u(p) + epsilonf (x), -Deltau = muv + v(q) + deltag(x) in Omega; u, v > 0 in Omega; u = v = 0 on partial derivativeOmega, where Omega is a bounded domain in R-N (N greater than or equal to 3); 0 less than or equal to f, g is an element of L-infinity(Omega); 1/(p + 1) + 1/(q + 1) = (N - 2) /N, p, q > 1; lambda, mu > 0. Using sub- and supersolution method and based on an adaptation of the dual variational approach, we prove the existence of at least two nontrivial positive solutions for all lambda, mu is an element of (0, lambda(1)) and epsilon, delta is an element of (0, delta(0)), where lambda(1) is the first eigenvalue of the Laplace operator - Delta with zero Dirichlet boundary conditions and delta(0) is a positive number. (C) 2003 Elsevier Inc. All rights reserved.
关键词	semilinear elliptic systems dual variational functional method (PS)(c) sequence critical point
DOI	10.1016/j.jmaa.2003.09.045
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000187346400015
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/522
专题	应用数学研究所
通讯作者	Cao, DM
作者单位	Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cao, DM,Han, PG. Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,289(1):200-215.
APA	Cao, DM,&Han, PG.(2004).Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,289(1),200-215.
MLA	Cao, DM,et al."Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 289.1(2004):200-215.