Symmetry breaking via Morse index for equations and systems of Henon-Schrodinger type

doi:10.1007/s00033-019-1080-8

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	Symmetry breaking via Morse index for equations and systems of Henon-Schrodinger type
	Lou, Zhenluo 1; Weth, Tobias 2; Zhang, Zhitao3,4
	2019-02-01
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	70 期号:1 页码:19
摘要	We consider the Dirichlet problem for the Henon-Schrodinger system in the unit ball < subset of>RN,N2, where 0 is a parameter and F:R2R is a p-homogeneous C2-function for some p>2 with F(u,v)>0 for (u,v)(0,0). We show that, as , the Morse index of nontrivial radial solutions of this problem (positive or sign-changing) tends to infinity. This result is new even for the corresponding scalar Henon equation and extends a previous result by Moreira dos Santos and Pacella [19] for the case N=2. In particular, the result implies symmetry breaking for ground state solutions, but also for other solutions obtained by an -independent variational minimax principle.
关键词	Symmetry breaking Morse index Henon-Schrodinger system Ground state solution 35B06 35J50 35J57
DOI	10.1007/s00033-019-1080-8
语种	英语
资助项目	National Natural Science Foundation of China[11331010]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000456630300001
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32300
专题	数学所
通讯作者	Lou, Zhenluo
作者单位	1.Henan Univ Sci Technol, Sch Math & Stat, Luoyang 471023, Peoples R China 2.Goethe Univ Frankfurt, Inst Math, Robert Mayer Str 10, D-60629 Frankfurt, Germany 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Lou, Zhenluo,Weth, Tobias,Zhang, Zhitao. Symmetry breaking via Morse index for equations and systems of Henon-Schrodinger type[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2019,70(1):19.
APA	Lou, Zhenluo,Weth, Tobias,&Zhang, Zhitao.(2019).Symmetry breaking via Morse index for equations and systems of Henon-Schrodinger type.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,70(1),19.
MLA	Lou, Zhenluo,et al."Symmetry breaking via Morse index for equations and systems of Henon-Schrodinger type".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 70.1(2019):19.