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Multiple positive solutions for some multi-point boundary value problems with -Laplacian

โœ Scribed by Yanping Guo; Yude Ji; Xiujun Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
186 KB
Volume
216
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

This paper deals with the existence of multiple positive solutions for the quasilinear second-order differential equation

subject to one of the following boundary conditions:

Using the five functionals fixed point theorem, we provide sufficient conditions for the existence of multiple (at least three) positive solutions for the above boundary value problems.

๐Ÿ“œ SIMILAR VOLUMES

Triple positive solutions for a multi-po
Triple positive solutions for a multi-point boundary value problem with a one-dimensional -Laplacian
โœ Youyu Wang; Meng Zhao; Yinping Hu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 310 KB

In this paper, we consider the multiplicity of positive solutions for a one-dimensional p-Laplacian differential equation with Sturm-Liouville-like boundary conditions. By means of a fixed point theorem for cones in Banach spaces, we provide sufficient conditions for the existence of multiple positi