The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems

doi:10.1007/s10114-004-0392-5

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	The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems
	Li, Chong
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	2004-11-01
卷号	20 期号:6 页码:965-976
关键词	Critical point theory Order intervals Decreasing flow
ISSN号	1439-8516
DOI	10.1007/s10114-004-0392-5
英文摘要	In this paper, we study and discuss the existence of multiple solutions of a class of non-linear elliptic equations with Neumann boundary condition, and obtain at least seven non-trivial solutions in which two are positive, two are negative and three are sign-changing. The study of problem (1.1): {-Delta u vertical bar alpha u = f(u), x. is an element of Omega, partial derivative u/ = 0, x is an element of partial derivative Omega, is based on the variational methods and critical point theory. We form our conclusion by using the sub-sup solution method, Mountain Pass Theorem in order intervals, Leray-Schauder degree theory and the invariance of decreasing flow.
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000208512300002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/806]
专题	数学所
通讯作者	Li, Chong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Chong. The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(6):965-976.
APA	Li, Chong.(2004).The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(6),965-976.
MLA	Li, Chong."The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.6(2004):965-976.