Exactness Results for Generalized Ambrosetti-Brezis-Cerami Problem and Related One-dimensional Elliptic Equations
dc.contributor.author | Addou, Idris | |
dc.contributor.author | Benmezai, Abdelhamid | |
dc.contributor.author | Bouguima, Sidi Mohammed | |
dc.contributor.author | Mohammed, Derhab | |
dc.date.accessioned | 2019-11-25T19:18:33Z | |
dc.date.available | 2019-11-25T19:18:33Z | |
dc.date.issued | 2000-11-02 | |
dc.description.abstract | We consider the boundary problem -(φp(u'))' = φα(u) + λφβ(u) in (0, 1) u(0) = u(1) = 0 where φp(x) = |x|p-2 x, p, α, β > 1 and λ ∈ ℝ*. We give the exact number of solutions for all λ and most values of α, β, p > 1. In the particular case where 1 < β < p = 2 < α, we resolve completely a problem suggested by A. Ambrosetti, H. Brezis and G. Cerami and which was partially solved by S. Villegas. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 34 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Addou, I., Benmezai, A., Bouguima, S. M., & Derhab, M. (2000). Exactness results for generalized Ambrosetti-Brezis-Cerami problem and related one-dimensional elliptic equations. Electronic Journal of Differential Equations, 2000(66), pp. 1-34. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/8910 | |
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 | Exactness | |
dc.subject | p-Laplacian | |
dc.subject | Concave-convex nonlinearities | |
dc.subject | Quadrature method | |
dc.title | Exactness Results for Generalized Ambrosetti-Brezis-Cerami Problem and Related One-dimensional Elliptic Equations | en_US |
dc.type | Article |
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