一维p-Laplacian奇异边值问题的存在性原则

一维p-Laplacian奇异边值问题的存在性原则

翁世有¹,², 高海音¹,², 张晓颖¹,², 蒋达清¹

1. 东北师范大学数学与统计学院, 长春 130024; 2. 长春大学应用理学院, 长春 130022

收稿日期:2005-12-12 修回日期:1900-01-01 出版日期:2006-05-26 发布日期:2006-05-26
通讯作者: 翁世有

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

WENG Shi-you¹,², GAO Hai-yin¹,², ZHANG Xiao-ying¹,², JIANG Da-qing¹

1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China; 2. Applied Science College, Changchun University, Changchun 130022, China

Received:2005-12-12 Revised:1900-01-01 Online:2006-05-26 Published:2006-05-26
Contact: WENG Shi-you

摘要/Abstract

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.

关键词: 奇异边值问题, 存在性原则, Leray-Schauder抉择

Abstract: The existence principles of the solution for the onedimension p-Laplacian singular boundary value problem were established by u sing the Schauder fixed point theorem and nonlinear LeraySchauder alterative theorem. It was proved that the solution of the onedimensionp-Laplacian singular boundary value problem is bounded under certain conditions. 

Key words: singular boundary value problem, existence principles, Leray-Schauder alternative

中图分类号:

O175.08

翁世有,, 高海音,, 张晓颖,, 蒋达清. 一维p-Laplacian奇异边值问题的存在性原则[J]. J4, 2006, 44(03): 351-356.

WENG Shi-you,, GAO Hai-yin,, ZHANG Xiao-ying,, JIANG Da-qing. Existence Principles for Singular Boundary Value Problems of One dimension p-Laplacian[J]. J4, 2006, 44(03): 351-356.

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