Uniqueness results for the one-dimensional p-Laplacian

This paper is concerned with positive solutions of the boundary value problem (|y |p−2y ) + f (y) = 0, y(−b) = 0 = y(b) wherep >1, b is a positive parameter. Assume that f is continuous on (0,+∞), changes sign from nonpositive to positive, and f (y)/yp−1 is nondecreasing in the interval off >0. The uniqueness results are proved using a time-mapping analysis.  2005 Elsevier Inc. All rights reserved.