Multiple positive solutions for multipoint boundary value problems with one-dimensional p-Laplacian

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:327

Article

Wang, Youyu ; Ge, Weigao

关键词: positive solutions;    boundary value problems;    one-dimensional p-Laplacian;    fixed point theorem;   

DOI  :  10.1016/j.jmaa.2006.05.023

来源: Elsevier

【 摘 要 】

In this paper we consider the multiplicity of positive solutions for the one-dimensional p-Laplacian differential equation (phi(p)(u'))' + q(t)f(t, u, u') = 0, t is an element of (0, 1), subject to some boundary conditions. By means of a fixed point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of multiple positive solutions to some multipoint boundary value problems. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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