Sign-changing and multiple solutions of Kirchhoff type problems without the PS condition

doi:10.1016/j.na.2008.02.011

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	Sign-changing and multiple solutions of Kirchhoff type problems without the PS condition
	Mao, Anmin 2; Zhang, Zhitao1
	2009-02-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	70 期号:3 页码:1275-1287
摘要	The existence of nontrivial solutions of Kirchhoff type equations is an important nonlocal quasilinear problem; in this paper we use minimax methods and invariant sets of descent flow to prove two interesting existence theorems for the following 4-superlinear Kirchhoff type problems without the P.S. condition, one concerning the existence of a nontrivial solution and the other one concerning the existence of sign-changing Solutions and multiple solutions, {-(a + b integral(Omega)\del u\(2))Delta u = f(x, u) in Omega, on partial derivative Omega. u = 0 (C) 2008 Elsevier Ltd. All rights reserved.
关键词	Critical points Sign-changing solutions and multiple solutions Kirchhoff type nonlocal problems
DOI	10.1016/j.na.2008.02.011
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000262059800011
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8529
专题	数学所
通讯作者	Zhang, Zhitao
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Mao, Anmin,Zhang, Zhitao. Sign-changing and multiple solutions of Kirchhoff type problems without the PS condition[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2009,70(3):1275-1287.
APA	Mao, Anmin,&Zhang, Zhitao.(2009).Sign-changing and multiple solutions of Kirchhoff type problems without the PS condition.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,70(3),1275-1287.
MLA	Mao, Anmin,et al."Sign-changing and multiple solutions of Kirchhoff type problems without the PS condition".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 70.3(2009):1275-1287.