Boundary singularities of solutions of N-harmonic equations with absorption

We study the boundary behaviour of solutions u of − Nu + |u|q−1u = 0 in a bounded smooth domain Ω ⊂ RN subject to the boundary condition u = 0 except at one point, in the rangeq >N−1.We prove that if q 2N −1 such an u is identically zero, while, if N −1