NONTRIVIAL SOLUTIONS AND VARIATIONAL CHARACTERS OF POSITIVE HOMOGENEOUS ELLIPTIC EQUATION

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	NONTRIVIAL SOLUTIONS AND VARIATIONAL CHARACTERS OF POSITIVE HOMOGENEOUS ELLIPTIC EQUATION
	Li, Chong1,2 ; Li, Shujie 1
	2017
发表期刊	JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
ISSN	1345-4773
卷号	18 期号:7 页码:1265-1277
摘要	In this paper we first study the solvability of the equation (0.1) {-Delta u = bu(+) + au(-) +t phi x is an element of Omega u = 0, x is an element of Omega by using Morse theory. If (a, b) is an element of Q(l)\Sigma, lambda(l) is simple and phi > 0, the connection between the numbers of the solutions and the location of (a, b) in Q(l) were established. Moreover, we give a complete expression for the behaviors of the reduced functional (J) over tilde ((a,b)) (v) as (a, b) locating in different regions divided by Schechter's curves. Since to find the critical points of (J) over tilde ((a,b)) (v) is equivalent to find the solutions of -Delta u = bu(+) + au(-), it is more convenient to deal with the problem which has been reduced to a finite dimensional space.
关键词	Solvability elliptic equation Morse theory reduced functional
语种	英语
资助项目	NSFC[11471319] ; BCMIIS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000413881200004
出版者	YOKOHAMA PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29112
专题	数学所
通讯作者	Li, Chong
作者单位	1.Acad Sinica, AMSS, Inst Math, Beijing 100190, Peoples R China 2.BCMIIS, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, Chong,Li, Shujie. NONTRIVIAL SOLUTIONS AND VARIATIONAL CHARACTERS OF POSITIVE HOMOGENEOUS ELLIPTIC EQUATION[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS,2017,18(7):1265-1277.
APA	Li, Chong,&Li, Shujie.(2017).NONTRIVIAL SOLUTIONS AND VARIATIONAL CHARACTERS OF POSITIVE HOMOGENEOUS ELLIPTIC EQUATION.JOURNAL OF NONLINEAR AND CONVEX ANALYSIS,18(7),1265-1277.
MLA	Li, Chong,et al."NONTRIVIAL SOLUTIONS AND VARIATIONAL CHARACTERS OF POSITIVE HOMOGENEOUS ELLIPTIC EQUATION".JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 18.7(2017):1265-1277.