Abstract :
The singular boundary value problem
[φ(u
)] + g(t,u,u
) = 0, for t ∈ (0, 1),
u(0) = u(1) = 0,
where φ(s) = |s|p−2s, p > 1, is studied in this paper. The singularity may appear at
u = 0, t = 0 and t = 1, and the function g may change sign. The existence of solutions
is obtained via an upper and lower solution method. 2002 Elsevier Science (USA). All
rights reserved.