带p-Laplacian算子三点四阶奇异边值问题的多解  

Existence of multiple solutions of a fourth-order three-point boundary value problem with a p-Laplacian operator

作　　者：郭环[1] 侯文英[1] 路慧芹[1] 

机构地区：[1]山东师范大学数学科学学院,山东济南250014

出　　处：《山东科学》2013年第1期6-9,共4页Shandong Science

基　　金：山东省优秀中青年科学家奖励基金(BS2011SF022);山东省高等学校科技计划项目(J09LA08)

摘　　要：利用不动点指数理论研究了一类含p-Laplacian算子三点四阶奇异边值问题正解的存在性,给出了至少存在两个正解的条件,改进并推广了最近的一些已知结果。This paper employs the theory of fixed point index to investigate the existence of two positive solutions for a class of fourth-order three-point singular boundary value problems with a p-Laplacian operator. The paper also presents some sufficient conditions that at least two positive solutions exist. Our work improves some recently known results.

关 键 词：p—Laplacian算子 奇异边值问题 正解 不动点指数 

分 类 号：O175.8[理学—数学]