Boundary-value Problems for the One-dimensional p-Laplacian with Even Superlinearity
Date
1999-03-08
Authors
Addou, Idris
Benmezai, Abdelhamid
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This paper is concerned with a study of the quasilinear problem
−(|u'|p−2u')' = |u|p − λ, in (0, 1),
u(0) = u(1) = 0,
where p >1 and λ ∈ ℝ are parameters. For λ > 0, we determine a lower bound for the number of solutions and establish their nodal properties. For λ ≤ 0, we determine the exact number of solutions. In both cases we use a quadrature method.
Description
Keywords
One-dimensional p-Laplacian, Two-point boundary-value problem, Superlinear, Time mapping
Citation
Addou, I. & Benmezai, A. (1999). Boundary-value problems for the one-dimensional p-Laplacian with even superlinearity. <i>Electronic Journal of Differential Equations, 1999</i>(09), pp. 1-29.
Rights
Attribution 4.0 International