一维p-Laplacian奇异边值问题的存在性原则  

Existence Principles for Singular Boundary Value Problems of One-dimension p-Laplacian

作　　者：翁世有[1] 高海音[1] 张晓颖[1] 蒋达清[1] 

机构地区：[1]东北师范大学数学与统计学院

出　　处：《吉林大学学报（理学版）》2006年第3期351-356,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10171010).

摘　　要：利用Schauder不动点原理和非线性Leray-Schauder抉择定理建立了一维p-Laplacian奇异边值问题解的一些存在性原则,并证明了在一定条件下,一维p-Laplacian奇异边值问题解的有界性.The existence principles of the solution for the one-dimension p-Laplacian singular boundary value problem were established by using the Schauder fixed point theorem and nonlinear Leray-Sehauder alterative theorem. It was proved that the solution of the one-dimension p-Laplacian singular boundary value problem is bounded under certain conditions.

关 键 词：奇异边值问题 存在性原则 Leray-Schauder抉择 

分 类 号：O175.08[理学—数学]