Idris Addou & Shin-Hwa Wang
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 and the case , when the nonlinearity satisfies (positone) and has three distinct simple positive zeros and such that changes sign exactly twice on . Note that we may allow to change sign more than twice on . We also present some interesting examples.
Submitted March 8, 2004. Published May 20, 2004.
Math Subject Classifications: 34B18, 34B15.
Key Words: Exact multiplicity result, p-Laplacian, positone problem, bifurcation, concave-convex-concave nonlinearity, positive solution, dead core solution, time map.
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| Idris Addou|
Departement de Mathematiques et Statistiques
Universite de Montreal
C.P. 6128, Succ. Centre-ville, Montreal, Quebec, Canada, H3C2J7
| Shin-Hwa Wang |
Department of Mathematics
National Tsing Hua University
Hsinchu, Taiwan 300, Republic of China
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