Addou, IdrisBenmezai, Abdelhamid2019-05-302019-05-301999-03-08Addou, 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. 1-29.1072-6691https://hdl.handle.net/10877/8215This 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.Text29 pages1 file (.pdf)enAttribution 4.0 InternationalOne-dimensional p-LaplacianTwo-point boundary-value problemSuperlinearTime mappingArticle