奇异二阶Neumann边值问题的多解性

J4 ›› 2010, Vol. 45 ›› Issue (10): 98-103.

奇异二阶Neumann边值问题的多解性

刘树宽

济宁学院数学系, 山东曲阜 273155

收稿日期:2009-05-22 出版日期:2010-10-16 发布日期:2010-10-19
作者简介:刘树宽（1963-），男，讲师，研究方向为非线性泛函分析. Email:chenxiangping@163.com
基金资助:
国家自然科学基金资助项目（10871116）；山东省自然科学基金资助项目（ZR2009AM006）

Existence of multiple positive solutions for singular second order Neumann boundary value problems

LIU Shu-kuan

Department of Mathematics, Jining University, Qufu 273155, Shandong, China

Received:2009-05-22 Online:2010-10-16 Published:2010-10-19

摘要/Abstract

摘要：

利用不动点指数理论讨论了奇异二阶Neumann边值问题, 在相应线性算子第一特征值的条件下,得到多个正解存在的结论, 推广和改进了已有的一些结果。

关键词: 不动点指数;正解;奇异边值问题;特征值

Abstract:

Using the fixed point index in cones, the existences of multiple positive solutions for singular second order Neumann boundary value problems are studied under some conditions concerning the first eigenvalue corresponding to the relevant linear problems. It improves and extends some results.

Key words: fixed point index; positive solution; singular boundary value problem; eigenvalue

刘树宽. 奇异二阶Neumann边值问题的多解性[J]. J4, 2010, 45(10): 98-103.

LIU Shu-kuan. Existence of multiple positive solutions for singular second order Neumann boundary value problems[J]. J4, 2010, 45(10): 98-103.

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