A remark on some three-point boundary value problems for the one-dimensional p-laplacian

被引：2
作者：
Xiaoming, H [1 ]
Weigao, G
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2002年 / 82卷 / 10期
关键词：
three-point boundary value problem; one-dimensional p-Laplacian; multiple solutions; fixed points; cone;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish existence criteria for multiple (at least three) positive solutions to the three-point boundary value problem (g(u'))' + a(t) f(u) = 0,u(0) = 0, u(eta) = u(1), when, g(v) = \v\(p-2) v, p > 1, and eta is an element of (0, 1) is prescribed. The results improve and extend earlier results due to WANG JUNYU and ZHENG DAWEI [1] by an application of the Leggett-William's fired point theorem in a cone.
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收藏
页码：728 / 731
页数：4
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