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Positive solutions for multipoint boundary value problems with a one-dimensional -Laplacian

✍ Scribed by Youyu Wang; Weigao Ge

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
173 KB
Volume
66
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Triple symmetric positive solutions for
Triple symmetric positive solutions for multipoint boundary-value problem with one-dimensional -Laplacian
✍ Hanying Feng; Weigao Ge πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 221 KB

In this paper, we consider the multipoint boundary value problem for one-dimensional p-Laplacian Ο† p (u (t)) + q(t) f t, u(t), u (t) = 0, t ∈ (0, 1), subject to the boundary conditions: Applying the fixed point theorem due to Avery and Peterson, we study the existence of at least three symmetric po

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✍ Xiaoming He; Weigao Ge πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 189 KB

In this paper we study the existence of multiple positive solutions for the equation (g(u )) + e(t)f(u) = 0, where g(v) := |v| p-2 v; p ΒΏ 1, subject to nonlinear boundary conditions. We show the existence of at least two positive solutions by using a new three functionals ΓΏxed point theorem in cones

Existence of three positive solutions fo
Existence of three positive solutions for -point boundary-value problems with one-dimensional -Laplacian
✍ 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 ≀