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Foliated Schwarz symmetry for the nodal solution at the second minimax level
Li, Kui1; Zhang, Zhitao2,3
2018-12-01
Source PublicationANNALI DI MATEMATICA PURA ED APPLICATA
ISSN0373-3114
Volume197Issue:6Pages:1875-1883
AbstractWe 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).
KeywordSecond minimax level Nodal solution Foliated Schwarz symmetry Maximum principle
DOI10.1007/s10231-018-0754-8
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000444801500013
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31224
Collection数学所
Affiliation1.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
Recommended Citation
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.
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