Existence of a positive solution for a -Laplacian semipositone problem

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.