Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 72, pp. 1-25.

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

Authors: Idris Addou (Univ. de Montreal, Canada)
         Shin-Hwa Wang (National Tsing Hua Univ., Taiwan)

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 satisfies $f(0)>0$ (positone) and has three distinct
  simple positive zeros and such that $f''$ changes sign exactly
  twice on $(0,\infty)$. Note that we may allow  $f''$ to
  change sign more than twice on $(0,\infty )$. 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.