Multiplicity Results for Classes of One-dimensional p-Laplacian Boundary-value Problems with Cubic-like Nonlinearities
| dc.contributor.author | Addou, Idris | |
| dc.date.accessioned | 2019-12-18T19:26:35Z | |
| dc.date.available | 2019-12-18T19:26:35Z | |
| dc.date.issued | 2000-07-03 | |
| dc.description.abstract | We 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 42 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Addou, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9111 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | p-Laplacian | |
| dc.subject | Time-maps | |
| dc.subject | Multiplicity results | |
| dc.subject | Cubic-like nonlinearities | |
| dc.title | Multiplicity Results for Classes of One-dimensional p-Laplacian Boundary-value Problems with Cubic-like Nonlinearities | |
| dc.type | Article |