一维奇异p-Laplacian三点边值问题正解的存在性一维奇异p-Laplacian三点边值问题正解的存在性

J4 ›› 2012, Vol. 50 ›› Issue (4): 621-627.

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Existence of Positive Solutions for One-Dimensional Singularp-Laplacian Three-Point Boundary Value Problems

BAI Jie ¹, ZU Li ^2,3

1. School of Information Technology, College of Humanities and Sciences of Northeast Normal University,
Changchun 130117, China|2. School of Science, Changchun University, Changchun 130022, China;
3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received:2011-09-21 Online:2012-07-01 Published:2012-09-07
Contact: BAI Jie E-mail:baijie1979@tom.com

Abstract

Abstract:

By means of nonlinear Leray-Schauder alternative theorem and fixed point theorem in cones, the authors proved the existence of the solutions for one-dimensional singular p-Laplacian three-point boundary value problems under assumptive conditions. There is at least one positive value in the interval from zero to one.

Key words: LeraySchauder alternative theorem, fixed point theorem in cones, singular boundary value problem, existence of positive solution

CLC Number:

O175.14

BAI Jie, ZU Li,. Existence of Positive Solutions for One-Dimensional Singularp-Laplacian Three-Point Boundary Value Problems[J].J4, 2012, 50(4): 621-627.

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Existence of Positive Solutions for One-Dimensional Singularp-Laplacian Three-Point Boundary Value Problems

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