Nonlinear elliptic equations with Hardy potential and lower order term with natural growth

In this work we analyze the interaction between the Hardy potential and a lower order term to obtain the existence or nonexistence of a positive solution in elliptic problems whose model is {−Δpu=g(u)|∇u|p+λup−1|x|p+f,in Ω,u>0,in Ω,u=0,on ∂Ω, where Ω⊂RNΩ⊂RN, N⩾3N⩾3, is a bounded domain containing the origin, 10λ>0, the behavior of the positive continuous function gg at infinity provides the existence of a solution for such a problem.