Exact multiplicity results for a p-Laplacian positone problem with concave-convex-concave nonlinearities

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dc.contributor.authorAddou, Idris
dc.contributor.authorWang, Shin-Hwa
dc.date.accessioned2021-04-23T18:54:34Z
dc.date.available2021-04-23T18:54:34Z
dc.date.issued2004-05-20
dc.description.abstractWe study the exact number of positive solutions of a two-point Dirichlet boundary-value problem involving the p-Laplacian operator. We consider the case p = 2 and the case p > 1, when the nonlinearity ƒ satisfies ƒ(0) > 0 (positone) and has three distinct simple positive zeros and such that ƒ'' changes sign exactly twice on (0, ∞). Note that we may allow ƒ'' to change sign more than twice on (0, ∞). We also present some interesting examples.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAddou, I., & Wang, S. H. (2004). Exact multiplicity results for a p-Laplacian positone problem with concave-convex-concave nonlinearities. <i>Electronic Journal of Differential Equations, 2004</i>(72), pp. 1-25.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13425
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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectExact multiplicity result
dc.subjectp-Laplacian
dc.subjectPositone problem
dc.subjectBifurcation
dc.subjectConcave-convex-concave nonlinearity
dc.subjectPositive solutions
dc.subjectDead core solution
dc.subjectTime map
dc.titleExact multiplicity results for a p-Laplacian positone problem with concave-convex-concave nonlinearities
dc.typeArticle

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