Positive Solution to Singular Elliptic Problems with Subcritical nonlinearities

In this paper, we study the existence of a non-trivial weak solution to the following singular elliptic equations with subcritical nonlinearities: where ω ⊂ ℝN is an open bounded domain with C1 boundary, θ, λ > 0, 0 < β < N-2/2, 0 < p < 1, 0 < μ < (N-2(β+1)/2)2, N ≥ 3, 0 ∈ ω and 0 ≤ f, g, h ∈ L∞ (ω). We show that there exists a solution u ∈ H01(ω,|x|-2β) ∩ L∞(ω)u to this problem.