Boundary-value Problems for the One-dimensional p-Laplacian with Even Superlinearity
| dc.contributor.author | Addou, Idris | |
| dc.contributor.author | Benmezai, Abdelhamid | |
| dc.date.accessioned | 2019-05-30T19:02:35Z | |
| dc.date.available | 2019-05-30T19:02:35Z | |
| dc.date.issued | 1999-03-08 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 29 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/8215 | |
| 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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | One-dimensional p-Laplacian | |
| dc.subject | Two-point boundary-value problem | |
| dc.subject | Superlinear | |
| dc.subject | Time mapping | |
| dc.title | Boundary-value Problems for the One-dimensional p-Laplacian with Even Superlinearity | |
| dc.type | Article |