Foliated Schwarz symmetry for the nodal solution at the second minimax level
文献类型：期刊论文
| 作者 | Li, Kui1; Zhang, Zhitao2,3
|
| 刊名 | ANNALI DI MATEMATICA PURA ED APPLICATA
 |
| 出版日期 | 2018-12-01 |
| 卷号 | 197期号:6页码:1875-1883 |
| 关键词 | Second minimax level Nodal solution Foliated Schwarz symmetry Maximum principle |
| ISSN号 | 0373-3114 |
| DOI | 10.1007/s10231-018-0754-8 |
| 英文摘要 | 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). |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000444801500013 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31223]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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