| 一类具p-Laplacian算子四阶奇异边值问题正解的存在性 |
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| 引用本文： | 卢芳,周宗福.一类具p-Laplacian算子四阶奇异边值问题正解的存在性[J].山东大学学报(理学版),2012,47(6):28-33. |
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| 作者姓名： | 卢芳 周宗福 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230601 |
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| 基金项目： | 国家自然科学基金资助项目(11071001);安徽省教育厅重点资助项目(KJ2009A005Z);高校博士点专项科研基金资助项目(20093401110001);安徽大学学术创新团队项目(KJTD002B);安徽省自然科学基金(1208085MA13) |
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| 摘 要： | 利用不动点指数定理,在较弱条件下讨论了一类四阶p-Laplacian方程奇异边值问题正解的存在性,得到了这类边值问题至少存在两个正解的充分条件。
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| 关 键 词： | 正解 不动点指数 p-Laplacian算子 |
The existence of positive solutions of a class of fourth-order singular boundary value problems with a p-Laplacian operator |
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| LU Fang,ZHOU Zong-fu.The existence of positive solutions of a class of fourth-order singular boundary value problems with a p-Laplacian operator[J].Journal of Shandong University,2012,47(6):28-33. |
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| Authors: | LU Fang ZHOU Zong-fu |
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| Institution: | *(School of Mathematical Sciences,Anhui University,Hefei 230601,Anhui,China) |
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| Abstract: | By using the fixed point index theorem,a class of fourth-order p-Laplacian operator singular boundary value problems is considered in weaker conditions,and two positive solutions are obtained. |
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| Keywords: | positive solutions fixed-point index p-Laplacian operator |
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