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Given a bounded, open set Ω in ℝ N  (N ≥ 3), ψ∈ W 1,p (Ω) (p &gt; N) such that υ̸ +  ∈ H 0  1 (Ω) ∩ L ∞ (Ω) and a suitable strictly positive (see (1.4)) function a ∈ L q (Ω) with q &gt; N/2, we prove the existence of positive solution w ∈ H 0  1 (Ω) of some variational inequality with a singular nonlinearity whose typical model is

Elliptic Obstacle Problems With Natural Growth on the Gradient and Singular Nonlinear Term