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

摘要

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