Addou, Idris2019-12-182019-12-182000-07-03Addou, I. (2000). Multiplicity results for classes of one-dimensional p-Laplacian boundary-value problems with cubic-like nonlinearities. <i>Electronic Journal of Differential Equations, 2000</i>(52), pp. 1-42.1072-6691https://hdl.handle.net/10877/9111We study boundary-value problems of the type -(φp(u'))' = λƒ(u), in (0, 1) u(0) = u(1) = 0, where p > 1, φp(x) = |x|p-2 x, and λ > 0. We provide multiplicity results when ƒ behaves like a cubic with three distinct roots, at which it satisfies Lipschitz-type conditions involving a parameter q > 1. We shall show hos changes in the position of q with respect to p lead to different behavior of the solution set. When dealing with sign-changing solutions, we assume that ƒ is half-odd; a condition generalizing the usual oddness. We use a quadrature method.Text42 pages1 file (.pdf)enAttribution 4.0 Internationalp-LaplacianTime-mapsMultiplicity resultsCubic-like nonlinearitiesArticle