| 陈永鹏,戚仕硕.带$p$-Laplacian的四阶四点奇异边值问题的正解[J].数学研究及应用,2009,29(4):671~681 |
| 带$p$-Laplacian的四阶四点奇异边值问题的正解 |
| Positive Solutions of Singular Fourth Order Four Point Boundary Value Problems with $p$-Laplacian Operator |
| 投稿时间：2007-06-25 修订日期：2008-03-08 |
| DOI：10.3770/j.issn:1000-341X.2009.04.012 |
| 中文关键词: 奇异边值问题 正解 锥. |
| 英文关键词:$p$-Laplacian singular boundary value problem positive solution cone. |
| 基金项目:国家自然科学基金(No.10671181). |
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| 中文摘要: |
| 本文讨论带p-Laplacian算子的四阶四点问题正解的存在性.通过应用锥拉伸与压缩不动点定理,我们获得了多重正解的存在性结果. |
| 英文摘要: |
| In this paper, we consider the existence of positive solutions for the singular fourth-order four point boundary value problem with $p$-Laplacian operator. By using the fixed point theorem of cone expansion and compression, the existence of multiple positive solutions is obtained. |
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