Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 50, pp. 1-9.

Title: One-dimensional elliptic equation with concave  
       and convex nonlinearities

Authors: Justino Sanchez (Univ. de Santiago de Chile, Chile)
 Pedro Ubilla (Univ. de Santiago de Chile, Chile)
         
Abstract: 
 We establish the exact number of positive solutions for the
 boundary-value problem
 $$\displaylines{
 -(|u'|^{m-2} u')'=\lambda u^q + u^p\quad \hbox{in }(0,1)\cr
 u(0)= u(1)=0\,,
 }$$ 
 where $0\leq q < m- 1 < p$ and $\lambda$ is positive.
  
Submitted February 1, 2000. Published June 25, 2000.
Math Subject Classifications: 34B15.
Key Words: m-Laplacian; concave-convex nonlinearities; 
           exactness results; time-maps.