Foliated Schwarz symmetry for the nodal solution at the second minimax level

doi:10.1007/s10231-018-0754-8

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	Foliated Schwarz symmetry for the nodal solution at the second minimax level
	Li, Kui 1; Zhang, Zhitao2,3
	2018-12-01
发表期刊	ANNALI DI MATEMATICA PURA ED APPLICATA
ISSN	0373-3114
卷号	197 期号:6 页码:1875-1883
摘要	We study the second minimax level lambda(2) of the eigenvalue problem for the scalar field equation in R-N. By using the tool of polarization, we prove that every nodal solution at the second minimax level is foliated Schwarz symmetric. As a consequence, we prove an open problem of Perera and Tintarev (Annali di Matematica Pura ed Applicata (4) 194(1):131-144, 2015).
关键词	Second minimax level Nodal solution Foliated Schwarz symmetry Maximum principle
DOI	10.1007/s10231-018-0754-8
语种	英语
资助项目	National Natural Science Foundation of China[11771428] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11331010]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000444801500013
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31224
专题	数学所
通讯作者	Zhang, Zhitao
作者单位	1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, HLM, CEMS,HCMS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Li, Kui,Zhang, Zhitao. Foliated Schwarz symmetry for the nodal solution at the second minimax level[J]. ANNALI DI MATEMATICA PURA ED APPLICATA,2018,197(6):1875-1883.
APA	Li, Kui,&Zhang, Zhitao.(2018).Foliated Schwarz symmetry for the nodal solution at the second minimax level.ANNALI DI MATEMATICA PURA ED APPLICATA,197(6),1875-1883.
MLA	Li, Kui,et al."Foliated Schwarz symmetry for the nodal solution at the second minimax level".ANNALI DI MATEMATICA PURA ED APPLICATA 197.6(2018):1875-1883.