Positive solutions for one-dimensional p-Laplacian boundary value problems with dependence on the first order derivative

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:314

Article

Wang, ZY ; Zhang, JH

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

DOI  :  10.1016/j.jmaa.2005.04.012

来源: Elsevier

【 摘 要 】

This paper presents sufficient conditions for the existence and multiplicity of positive solutions to the one-dimensional p-Laplacian differential equation (phi p (u'))' + a(t)f(u, u') = 0, subject to some boundary conditions. We show that it has at least one or two or three positive solutions under some assumptions by applying the fixed point theorem. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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