Exactness Results for Generalized Ambrosetti-Brezis-Cerami Problem and Related One-dimensional Elliptic Equations

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dc.contributor.authorAddou, Idris
dc.contributor.authorBenmezai, Abdelhamid
dc.contributor.authorBouguima, Sidi Mohammed
dc.contributor.authorMohammed, Derhab
dc.date.accessioned2019-11-25T19:18:33Z
dc.date.available2019-11-25T19:18:33Z
dc.date.issued2000-11-02
dc.description.abstractWe 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.departmentMathematics
dc.formatText
dc.format.extent34 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAddou, I., Benmezai, A., Bouguima, S. M., & Derhab, M. (2000). Exactness results for generalized Ambrosetti-Brezis-Cerami problem and related one-dimensional elliptic equations. <i>Electronic Journal of Differential Equations, 2000</i>(66), pp. 1-34.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8910
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectExactness
dc.subjectp-Laplacian
dc.subjectConcave-convex nonlinearities
dc.subjectQuadrature method
dc.titleExactness Results for Generalized Ambrosetti-Brezis-Cerami Problem and Related One-dimensional Elliptic Equationsen_US
dc.typeArticle

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