𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonoscillatory solutions for the one-dimensional p-Laplacian

✍ Scribed by Rigoberto Medina

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
221 KB
Volume
98
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we study the existence of nonoscillatory solutions of the equation

where β€’ : R ~ R is defined by ~(s) = Islp-2s with p > 1, and {xk}~ is a nonnegative sequence with infinitely many positive terms. (~) 1998 Elsevier Science B.V. All rights reserved.

πŸ“œ SIMILAR VOLUMES

Positive solutions for the one-dimension
Positive solutions for the one-dimensional p-Laplacian
✍ Xiaojing Yang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 433 KB

In this paper, the criterion for the existence of at least one positive solution of the one-dimensional p-Laplacian (b(t)Q(u'))' + c(t)!(u) = 0, are obtained, where a(u) = IuIP-~u, p > 0

Three positive solutions for the one-dim
Three positive solutions for the one-dimensional p-Laplacian
✍ Yanping Guo; Weigao Ge πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 223 KB

In this paper, nonlinear two point boundary value problems with p-Laplacian operators subject to Dirichlet boundary condition and nonlinear boundary conditions are studied. We show the existence of three positive solutions by the five functionals fixed point theorem.

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