Existence of positive entire solutions for singular and non-singular quasi-linear elliptic equation

We consider the quasilinear elliptic equation div ( | ∇ u | p - 2 ∇ u ) + λ m ( x ) u γ = 0 in domain Ω = R N , where λ > 0 , p > 1 . Under several hypotheses on the m ( x ) , γ , we obtain the existence of positive entire solutions.