A singular boundary value problem for the one-dimensional p-Laplacian

The singular boundary value problem [GRAPHICS] is studied in this paper where g(s) = \s\(p-2)s, p > 1 The singularity may appear at u = 0 and at t = 0 or t = 1 and the function f may be discontinuous. The authors prove that for any p > 1 and for any positive, nonincreasing function f and nonnegative measurable function k with some integrability conditions, the above-mentioned problem has a unique solution. Also, the properties of the solution are discussed in the paper. (C) 1996 Academic Press, Inc.