The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems
文献类型：期刊论文
| 作者 | Li, Chong
|
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2004-11-01 |
| 卷号 | 20期号:6页码:965-976 |
| 关键词 | Critical point theory Order intervals Decreasing flow |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-004-0392-5 |
| 英文摘要 | In this paper, we study and discuss the existence of multiple solutions of a class of non-linear elliptic equations with Neumann boundary condition, and obtain at least seven non-trivial solutions in which two are positive, two are negative and three are sign-changing. The study of problem (1.1): {-Delta u vertical bar alpha u = f(u), x. is an element of Omega, partial derivative u/ = 0, x is an element of partial derivative Omega, is based on the variational methods and critical point theory. We form our conclusion by using the sub-sup solution method, Mountain Pass Theorem in order intervals, Leray-Schauder degree theory and the invariance of decreasing flow. |
| 语种 | 英语 |
| WOS记录号 | WOS:000208512300002 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/806]  |
| 专题 | 数学所 |
| 通讯作者 | Li, Chong |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Chong. The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(6):965-976. |
| APA | Li, Chong.(2004).The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(6),965-976. |
| MLA | Li, Chong."The Existence of Solutions of Elliptic Equations with Neumann Boundary Condition for Superlinear Problems".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.6(2004):965-976. |
入库方式： OAI收割
来源：数学与系统科学研究院
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