Abstract
We consider the boundary value problem in
satisfying
on
, where
on
,
is a parameter,
is a bounded domain in
with
boundary
, and
for
. Here,
is a
nondecreasing function for some
satisfying
(semipositone). We establish a range of
for which the above problem has a positive solution when
satisfies certain additional conditions. We employ the method of subsuper solutions to obtain the result.