Exact Multiplicity Results for Quasilinear Boundary-value Problems with Cubic-like Nonlinearities
| dc.contributor.author | Addou, Idris | |
| dc.date.accessioned | 2019-11-25T18:53:07Z | |
| dc.date.available | 2019-11-25T18:53:07Z | |
| dc.date.issued | 2000-01-01 | |
| dc.description.abstract | We consider the boundary-value problem -(φp(u'))' = λf(u) in (0,1) u(0) = u(1) = 0, where p > 1, λ > 0 and φ<sub>p</sub>(x) = |x|p-2x. The nonlinearity ƒ is cubic-like with three distinct roots 0 = α < b < c. By means of a quadrature method, we provide the exact number of solutions for all λ > 0. This way we extend a recent result, for p = 2, by Korman et al. [17] to the general case p > 1. We shall prove that when 1 < p ≤ 2 the structure of the solution set is exactly the same as that studied in the case p = 2 by Korman et al. [17], and strictly different in the case p > 2. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 29 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Addou, I. (2000). Exact multiplicity results for quasilinear boundary-value problems with cubic-like nonlinearities. <i>Electronic Journal of Differential Equations, 2000</i>(01), pp. 1-26. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/8909 | |
| 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 | One dimensional p-Laplacian | |
| dc.subject | Multiplicity results | |
| dc.subject | Time-maps | |
| dc.title | Exact Multiplicity Results for Quasilinear Boundary-value Problems with Cubic-like Nonlinearities | |
| dc.type | Article |