On the Existence of Nonnegative Blow-up Boundary Solutions for Quasilinear Elliptic Equations

In this paper we consider the quasilinear elliptic problem Δpu = a(x)f(u) in Ω, with the boundary blow-up condition u , where Ω= B (the unit ball in RN(N$2)), Δpu = div,     2  is p-Laplacian operator, a(x)0C(Ω) is radial, f in C1 is a positive nondecreasing , 1, p u p p     function o n (0,4) such that . We show that a nonnegative solution exists if and 1 1