An Improved Fountain Theorem and Its Application

doi:10.1515/ans-2016-6007

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 数学物理与应用研究部

	An Improved Fountain Theorem and Its Application
	Gu, Long-Jiang 2; Zhou, Huan-Song 1
刊名	ADVANCED NONLINEAR STUDIES
	2017-11-01
卷号	17 期号:4 页码:727-738
关键词	Fountain Theorem Strongly Indefinite Functional Elliptic Equation Sign-changing Potentials Infinitely Many Solutions
DOI	10.1515/ans-2016-6007
文献子类	Article
英文摘要	The main aim of the paper is to prove a fountain theorem without assuming the tau-upper semicontinuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with various sign-changing nonlinear terms. As an application, we obtain infinitely many solutions for a semilinear Schrodinger equation with strongly indefinite structure and sign-changing nonlinearity.
WOS关键词	NONLINEAR SCHRODINGER-EQUATIONS ; CONVEX NONLINEARITIES ; MULTIPLE SOLUTIONS ; ELLIPTIC PROBLEMS ; CONCAVE ; SIGN
WOS研究方向	Mathematics
语种	英语
WOS记录号	WOS:000415868100007
资助机构	NSFC(11471331 ; NSFC(11471331 ; 11501555) ; 11501555) ; NSFC(11471331 ; NSFC(11471331 ; 11501555) ; 11501555)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/11555]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan 430070, Hubei, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Gu, Long-Jiang,Zhou, Huan-Song. An Improved Fountain Theorem and Its Application[J]. ADVANCED NONLINEAR STUDIES,2017,17(4):727-738.
APA	Gu, Long-Jiang,&Zhou, Huan-Song.(2017).An Improved Fountain Theorem and Its Application.ADVANCED NONLINEAR STUDIES,17(4),727-738.
MLA	Gu, Long-Jiang,et al."An Improved Fountain Theorem and Its Application".ADVANCED NONLINEAR STUDIES 17.4(2017):727-738.