A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian
文献类型:期刊论文
| 作者 | Agarwal, RP; Lu, HS; O'Regan, D |
| 刊名 | ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
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| 出版日期 | 2003 |
| 卷号 | 22期号:3页码:689-709 |
| 关键词 | singular boundary value problems positive solutions existence conditions for solutions |
| ISSN号 | 0232-2064 |
| 英文摘要 | This paper studies the boundary value problem (phi(p)(u'))' + q(t)(f(u) + g(u)) = 0 (0 < t < 1) u(0) = u(1) = 0 in the case p > 1. A necessary and sufficient condition for the existence of C-1[0, 1] positive solutions and a sufficient condition for the existence of C[0, 1] positive solutions are presented. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000187354000011 |
| 出版者 | HELDERMANN VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18568] ![]() |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Agarwal, RP |
| 作者单位 | 1.Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 3.Nat Univ Ireland, Dept Math, Galway, Ireland |
| 推荐引用方式 GB/T 7714 | Agarwal, RP,Lu, HS,O'Regan, D. A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN,2003,22(3):689-709. |
| APA | Agarwal, RP,Lu, HS,&O'Regan, D.(2003).A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian.ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN,22(3),689-709. |
| MLA | Agarwal, RP,et al."A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian".ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 22.3(2003):689-709. |
入库方式: OAI收割
来源:数学与系统科学研究院
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