Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities
文献类型：期刊论文
| 作者 | Zhang, Jing1,2; Li, Shujie2,3; Wang, Yuwen2; Xue, Xiaoping1 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2010-11-15 |
| 卷号 | 371期号:2页码:682-690 |
| 关键词 | Semilinear elliptic equations Neumann boundary condition Multiple solutions Jumping nonlinearity Fucik spectrum Degree theory Morse theory |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2010.05.045 |
| 英文摘要 | We obtain nonconstant solutions of semilinear elliptic Neumann boundary value problems with jumping nonlinearities when the asymptotic limits of the nonlinearity fall in the type (I(t)), l > 2 and (II(t)), l >= 1 regions formed by the curves of the Fucik spectrum. Furthermore, we have at least two nonconstant solutions in every order interval under resonance case. In this paper, we apply the sub-sup solution method. Fucik spectrum, mountain pass theorem in order intervals, degree theory and Morse theory to get the conclusions. (C) 2010 Elsevier Inc. All rights reserved. |
| 资助项目 | NSFC[10671049] ; NSFC[YJSCX 2008-157 HLJ] ; NSFC[10471098] ; NSFC[10671195] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000280566900028 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10721]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Jing |
| 作者单位 | 1.Harbin Inst Technol, Dept Math, Harbin, Peoples R China 2.Yuan Yung Tseng Funct Anal Res Ctr, Harbin 150025, Peoples R China 3.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Jing,Li, Shujie,Wang, Yuwen,et al. Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,371(2):682-690. |
| APA | Zhang, Jing,Li, Shujie,Wang, Yuwen,&Xue, Xiaoping.(2010).Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,371(2),682-690. |
| MLA | Zhang, Jing,et al."Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 371.2(2010):682-690. |
入库方式： OAI收割
来源：数学与系统科学研究院
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