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Existence of triple positive solutions for multi-point boundary value problems with a one dimensional p-Laplacian

✍ Scribed by Youyu Wang; Weigao Ge

Book ID
108077090
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
260 KB
Volume
54
Category
Article
ISSN
0898-1221

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πŸ“œ SIMILAR VOLUMES

Triple positive solutions for a multi-po
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✍ Youyu Wang; Meng Zhao; Yinping Hu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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

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✍ Hanying Feng; Weigao Ge πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 214 KB

In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian (Ο† p (u )) + q(t) f (t, u(t), u (t)) = 0, t ∈ (0, 1), subject to the boundary conditions: where Ο† p (s) = |s| p-2 s, p > 1, ΞΎ i ∈ (0, 1) with 0 < ΞΎ 1 < ΞΎ 2 < β€’ β€’ β€’ < ΞΎ m-2 < 1 and a i ∈ [0, 1), 0 ≀