| 带p-Laplace算子的非线性两点边值问题正解存在的充分必要条件 |
| |
| 引用本文： | 李华,仉志余.带p-Laplace算子的非线性两点边值问题正解存在的充分必要条件[J].徐州师范大学学报(自然科学版),2008,26(2):33-35. |
| |
| 作者姓名： | 李华 仉志余 |
| |
| 作者单位： | 1. 中北大学,理学院,山西,太原,030051
2. 太原工业学院,数学系,山西,太原,030008 |
| |
| 基金项目： | 国家自然科学基金
,
山西省自然科学基金 |
| |
| 摘 要： | 利用锥拉伸与压缩不动点定理,研究了带有p-Laplace算子的非线性两点边值问题{（φ（x′））′＋f（t,x,x′）=0,t∈（0,1）,x（0）=x（1）=0存在正解的充分必要条件,其中φp（s）=｜s｜^p-2,p〉1,φp^-1（s）=φq（s）,1/p＋1/q=1.
|
| 关 键 词： | p-Laplace算子 两点边值问题 正解 充分必要条件 |
A Necessary and Sufficient Condition for the Existence of Positive Solutions for the Nonlinear Two-point Boundary Value Problem with p-Laplacian |
| |
| LI Hua,ZHANG Zhi-yu.A Necessary and Sufficient Condition for the Existence of Positive Solutions for the Nonlinear Two-point Boundary Value Problem with p-Laplacian[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(2):33-35. |
| |
| Authors: | LI Hua ZHANG Zhi-yu |
| |
| Institution: | LI Hua,ZHANG Zhi-yu (1.School of Sciences,Zhongbei University,Taiyuan,Shanxi,030051,China;2.Department of Mathematics,Taiyuan Institute of Technology,Taiyuan,Shanxi,030008,China) |
| |
| Abstract: | By using the fixed-point theorem of cone expansion and compression of norm type,a necessary and sufficient condition for the existence of positive solutions for the nonlinear two-point boundary value problem with p-Laplacian is obtained：{（φ（x′））′＋f（t,x,x′）=0,t∈（0,1）,x（0）=x（1）=0,where φp（s）=｜s｜p^-2,p〉1,φp^-1（s）=φq（s）,1/p＋1/q=1. |
| |
| Keywords: | p-Laplacian operator two-point boundary value problem positive solution necessary and sufficient condition |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
