Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity
文献类型：期刊论文
| 作者 | Dancer, EN; Zhang, ZT |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2000-10-15 |
| 卷号 | 250期号:2页码:449-464 |
| 关键词 | Fucik spectrum critical points sign-changing solutions Dirichlet problems multiple solutions jumping nonlinearities |
| ISSN号 | 0022-247X |
| 英文摘要 | In this paper, we use Fucik spectrum, ordinary differential equation theory of Banach spaces to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity, especially with resonance at infinity, and obtain new results on the existence of multiple solutions and sign-changing solutions with a weakening of the P.S. condition. In one case we get up to seven nontrivial solutions. The techniques have independent interest. (C) 2000 Academic Press. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000089976400005 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14987]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dancer, EN |
| 作者单位 | 1.Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia 2.Acad Sinica, Math Inst, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dancer, EN,Zhang, ZT. Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2000,250(2):449-464. |
| APA | Dancer, EN,&Zhang, ZT.(2000).Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,250(2),449-464. |
| MLA | Dancer, EN,et al."Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 250.2(2000):449-464. |
入库方式： OAI收割
来源：数学与系统科学研究院
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