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

✍ Scribed by Xiaoming He; Weigao Ge; Mingshu Peng

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
433 KB
Volume
15
Category
Article
ISSN
0893-9659

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πŸ“œ SIMILAR VOLUMES

Twin positive solutions for the one-dime
Twin positive solutions for the one-dimensional p-Laplacian boundary value problems
✍ 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

Positive solutions of singular three-poi
Positive solutions of singular three-point boundary value problems for the One-dimensional p-Laplacian
✍ Bing Liu πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 560 KB

We use the fixed-point index theory to establish the existence of at least one or two positive solutions for the singular three-point boundary value problems and a(t) is allowed to have a singularity at the endpoints of (0, 1). Applications of our results are provided to yield positive radial solut