Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition
文献类型：期刊论文
| 作者 | Li, C ; Li, SJ
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2004-10-01 |
| 卷号 | 298期号:1页码:14-32 |
| 关键词 | multiple solutions and sign-changing solutions critical group Neumann boundary value problem Morse theory |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2004.01.017 |
| 英文摘要 | In this paper, we study and discuss nonlinear elliptic equations with Neumann boundary condition for oscillation problem. We obtain infinitely many positive and negative solutions of (1.1) which are all nonconstant, and get at least two nonconstant solutions in every order interval under resonance case. Moreover, we yield infinitely many sign-changing solutions of (1.1) under some assumptions. Furthermore, we give a precise description of critical groups of some kinds of critical points. We draw the conclusions by using sub-sup solution method, mountain pass theorem in order intervals, Leray-Schauder degree theory and Morse theory. (C) 2004 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000223919200002 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/725]  |
| 专题 | 数学所 |
| 通讯作者 | Li, C |
| 作者单位 | 1.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, C,Li, SJ. Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,298(1):14-32. |
| APA | Li, C,&Li, SJ.(2004).Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,298(1),14-32. |
| MLA | Li, C,et al."Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 298.1(2004):14-32. |
入库方式： OAI收割
来源：数学与系统科学研究院
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