Existence and convergence of positive weak solutions of -Δu= {Mathematical expression} in bounded domains of ℝn, n≥3

Abstract : For the equation -Δu= {Mathematical expression} in Ω ⊂ℝn we prove the existence of positive weak solutions with prescribed singular set. We also prove the existence of sequences of weak solutions which converge weakly but not strongly in Ln/n-2(Ω) © 1993 Springer-Verlag.