| On the Fucik spectrum | |
Li, Chong1 ; Li, Shujie1,2; Liu, Zhaoli3; Pan, Jianzhong1
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| 2008-05-15 | |
| 发表期刊 | JOURNAL OF DIFFERENTIAL EQUATIONS
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| ISSN | 0022-0396 |
| 卷号 | 244期号:10页码:2498-2528 |
| 摘要 | In this paper, we study the structure of the Fucik spectrum of -Delta, the set of points (b, a) in R-2 for which the equation {-Delta u = au(-) + bu(+), x is an element of Omega, u = 0, x is an element of partial derivative Omega, has a nontrivial solution. For this, we first prove a variant implicit function theorem. Then we use the variant implicit function theorem to obtain C-1 curves in the Fucik spectrum under a local nondegenerate assumption. Solvability of the equation {-Delta u = au(-) + bu(+) + f, x is an element of Omega, u = 0, x is an element of partial derivative Omega, is also investigated. Some nodal domain theorems are proved. (C) 2008 Elsevier Inc. All rights reserved. |
| 关键词 | implicit function theorem differentiability Fucik spectrum Fucik curve solvability homotopy index nodal domain |
| DOI | 10.1016/j.jde.2008.02.021 |
| 语种 | 英语 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| WOS记录号 | WOS:000256284600004 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/6270 |
| 专题 | 数学所 |
| 通讯作者 | Li, Chong |
| 作者单位 | 1.Acad Sinica, Inst Math, AMSS, Beijing 100080, Peoples R China 2.Harbin Normal Univ, Yuan Rong Zeng Funct Anal Res Ctr, Harbin 150025, Peoples R China 3.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Chong,Li, Shujie,Liu, Zhaoli,et al. On the Fucik spectrum[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2008,244(10):2498-2528. |
| APA | Li, Chong,Li, Shujie,Liu, Zhaoli,&Pan, Jianzhong.(2008).On the Fucik spectrum.JOURNAL OF DIFFERENTIAL EQUATIONS,244(10),2498-2528. |
| MLA | Li, Chong,et al."On the Fucik spectrum".JOURNAL OF DIFFERENTIAL EQUATIONS 244.10(2008):2498-2528. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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