Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity
文献类型：期刊论文
| 作者 | Alves, CO; Ding, YH
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2003-03-15 |
| 卷号 | 279期号:2页码:508-521 |
| 关键词 | quasilinear elliptic equations p-Laplacian variational methods |
| ISSN号 | 0022-247X |
| DOI | 10.1016/S0022-247X(03)00026-X |
| 英文摘要 | In this paper we deal with multiplicity of positive solutions to the p-Laplacian equation of the type -div (\delu\(p-2)delu) = muu(q-1) + u(p*-1), u is an element of W-0(1,p) (Omega), where Omega subset of R-N is a bounded domain, N greater than or equal to p(2), 2 less than or equal to p less than or equal to q < p*, p* = Np/(N - p), and mu is a positive parameter. We prove that there exists mu* > 0 such that, for each mu is an element of (0, mu*), the equation has at least cats? (Q) positive solutions. (C) 2003 Elsevier Science (USA). All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182454700012 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18418]  |
| 专题 | 数学所 |
| 通讯作者 | Alves, CO |
| 作者单位 | 1.Univ Fed Paraiba, Dept Matemat, BR-58100970 Campina Grande, PB, Brazil 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Alves, CO,Ding, YH. Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,279(2):508-521. |
| APA | Alves, CO,&Ding, YH.(2003).Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,279(2),508-521. |
| MLA | Alves, CO,et al."Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 279.2(2003):508-521. |
入库方式： OAI收割
来源：数学与系统科学研究院
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