𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The positive solutions of boundary value problems for a class of one-dimensional -Laplacians

✍ Scribed by Jiangang Cheng; Yanfang Shao

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
197 KB
Volume
68
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

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

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 ≀