Moderate solutions of semilinear elliptic equations with Hardy potential

Let Ω be a bounded smooth domain in RN. We study positive solutions of equation (E) −Lμu+uq=0 in Ω where Lμ=Δ+μδ2, 0<μ, q>1 and δ(x)=dist(x,∂Ω). A positive solution of (E) is moderate if it is dominated by an Lμ-harmonic function. If μ