四阶p-Laplace奇异边值问题多重正解的存在性  

The Existence of Multiple Positive Solutions for Singular Boundary Value Problems of Fourth-order p-Laplacian Operator

作　　者：吴炯圻[1] 林立 

机构地区：[1]漳州师范学院数学系,福建漳州363000 [2]漳州八中,福建漳州363000

出　　处：《漳州师范学院学报（自然科学版）》2008年第2期1-6,共6页Journal of ZhangZhou Teachers College（Natural Science)

基　　金：国家自然科学基金资助项目(10671173)

摘　　要：利用不动点指数理论研究了一类含p-Laplace算子的四阶奇异边值问题的多重正解的存在性,给出了至少存在两个正解的条件,改进了不久前其他作者的相关研究.In this paper, the existence of multiple positive solutions for a class of fourth-order p-Laplacian operator singular boundary value problems is discussed by using the fixed point index, and some sufficient conditions are given such that the problem has at least two positive solutions. Our work improves the corresponding results obtained by some authors recently.

关 键 词：P-LAPLACE算子 四阶微分方程 奇异边值问题 正解 不动点定理 

分 类 号：O175.8[理学—数学]