Exact multiplicity results for a p-Laplacian positone problem with concave-convex-concave nonlinearities
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Date
2004-05-20
Authors
Addou, Idris
Wang, Shin-Hwa
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Exact multiplicity result, p-Laplacian, Positone problem, Bifurcation, Concave-convex-concave nonlinearity, Positive solutions, Dead core solution, Time map
Citation
Addou, 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.
Rights
Attribution 4.0 International