一类具p-Laplacian算子四阶奇异边值问题正解的存在性

J4 ›› 2012, Vol. 47 ›› Issue (6): 28-33.

一类具p-Laplacian算子四阶奇异边值问题正解的存在性

卢芳,周宗福*

安徽大学数学科学学院, 安徽合肥 230601

收稿日期:2011-09-02 出版日期:2012-06-20 发布日期:2012-06-26
通讯作者: 周宗福(1964- ),男，教授，研究方向为泛函数微分方程.Email:zhouzf12@126.com
作者简介:卢芳(1986- ),女，硕士研究生，研究方向为泛函数微分方程.Email: lufang0926@126.com
基金资助:
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)

The existence of positive solutions of a class of fourth-order singular boundary value problems with a p-Laplacian operator

LU Fang, ZHOU Zong-fu*

School of Mathematical Sciences, Anhui University, Hefei 230601, Anhui, China

Received:2011-09-02 Online:2012-06-20 Published:2012-06-26

摘要/Abstract

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。

关键词: 正解;不动点指数; p-Laplacian算子

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.

Key words: positive solutions; fixed-point index; p-Laplacian operator

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]. J4, 2012, 47(6): 28-33.

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]. J4, 2012, 47(6): 28-33.

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