| 一维p-Laplacian方程正解的存在性 |
| |
| 引用本文： | 贺小明,葛渭高.一维p-Laplacian方程正解的存在性[J].数学学报,2003,46(4):805-810. |
| |
| 作者姓名： | 贺小明 葛渭高 |
| |
| 作者单位： | 1. 中国科学院数学与系统科学研究院应用数学研究所,北京,100080
2. 北京理工大学应用数学系,北京,100081 |
| |
| 基金项目： | 国家自然科学基金(19871005)，]教委博士点专项基金(1999000722) |
| |
| 摘 要： | 本文考虑一维p-Laplacian非线性边值问题(ψ(u′))′+f(t,u)=0,αψ(u(0))—βψ(u′(0))=O,γψ(u(1))+δψ(u′(1))=0,其中ψ(s):=|s|~(p-2)s,P>1.通过应用Krasnoselskii锥不动点定理,建立了该问题存在多个正解的充分条件,推广并丰富了以往文献的一些结论.
|
| 关 键 词： | p-Laplacian边值问题 正解 锥: Krasnoselskii锥不动点定理 |
| 文章编号： | 0583-1431(2003)04-0805-06 |
| 修稿时间： | 2001年4月23日 |
Existence of Positive Solutions for the One-Dimensional p-Laplacian Equations |
| |
| Xiao Ming HE.Existence of Positive Solutions for the One-Dimensional p-Laplacian Equations[J].Acta Mathematica Sinica,2003,46(4):805-810. |
| |
| Authors: | Xiao Ming HE |
| |
| Institution: | Xiao Ming HE
(Institute of Applied Mathematics, Academy of Mathematics and System Sciences,
Chinese Academy of Sciences, Beijing 100080, P. R. China)
(E-mail: xmhe@mail.amss.ac.cn)
Wei Gao GE Department of Applied Mathematics, Beijing institute of Technology, Beijing 100081, P. R. China) |
| |
| Abstract: | This paper deals with the existence of multiple positive solutions for the p-Laplacian nonlinear BVP, (ψ(u'))' + f(t, u) = 0, αψ(u(0)) - βψ(u'(0)) = 0, γψ(u(1)) + δψ(u'(1)) = 0, where ψ(s) := |s|p-2s, p > 1. Sufficient conditions are established for the multiplicity of positive solutions of this problem by using Krasnoselskii fixed point theorem in cones. |
| |
| Keywords: | p-Laplacian boundary value problem Positive solutions Cone Krasnoselskii fixed point theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|
