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	Infinitely many positive solutions for Kirchhoff-type problems
	He, Xiaoming ; Zou, Wenming
	2010-10-12 ; 2010-10-12
关键词	Nonlocal problems Kirchhoff's equation Positive solutions Local minimum Variational methods SIGN-CHANGING SOLUTIONS P-LAPLACIAN EQUATION Mathematics, Applied Mathematics
中文摘要	This paper is concerned with the existence of infinitely many positive solutions to a class of Kirchhoff-type problem -(a + b integral(Omega)\del u\(2)dx)Delta u = lambda f(x, u) in Omega and u = 0 on partial derivative Omega, where Omega is a smooth bounded domain of R-N, a, b > 0, lambda > 0 and f : Omega x R -> R is a Caratheodory function satisfying some further conditions. We obtain a sequence of a.e. positive weak solutions to the above problem tending to zero in L-infinity(Omega) with f being more general than that of [K. Perera, Z. Zhang, Nontrivial solutions of Kirchhoff-type problems via the Yang index, J. Differential Equations 221 (2006) 246-255; Z. Zhang, K. Perera, Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow, J. Math. Anal. Appl. 317 (2006) 456-463]. (C) 2008 Elsevier Ltd. All rights reserved.
语种	英语 ; 英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81288]
专题	清华大学
推荐引用方式 GB/T 7714	He, Xiaoming,Zou, Wenming. Infinitely many positive solutions for Kirchhoff-type problems[J],2010, 2010.
APA	He, Xiaoming,&Zou, Wenming.(2010).Infinitely many positive solutions for Kirchhoff-type problems..
MLA	He, Xiaoming,et al."Infinitely many positive solutions for Kirchhoff-type problems".(2010).

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