where
and are two parameters, is the conjugate exponent of p,
for all where is the one dimensional p-Laplacian
and which is monotonically increasing
and concave up such that In this paper we study for the
cases and (r
is the supremum of the nonnegative solution and b
and q are zeros of f
and F, respectively, and We discuss existence and
multiplicity results for nonnegative solutions.