Singular quasilinear elliptic problems on unbounded domains

We prove the existence of a solution between an ordered pair of sub and supersolutions for singular quasilinear elliptic problems on unbounded domains. Further, we use this result to establish the existence of a positive solution to the problem {−Δpu=λK(x)f(u)in  B1c,u=0on  ∂B1,u(x)→0as  |x|→∞, where B1c={x∈Rn||x|>1}, Δpu=div(|∇u|p−2∇u),1