Lane–Emden–Fowler equations with convection and singular potential

We are concerned with singular elliptic problems of the form −Δu±p(d(x))g(u)=λf(x,u)+μa|∇u| in Ω, where Ω is a smooth bounded domain in RN, d(x)=dist(x,∂Ω), λ>0, μ∈R, 0

RésuméOn considère des problèmes singuliers du type −Δu±p(d(x))g(u)=λf(x,u)+μa|∇u| dans un domaine borné régulier Ω de RN, où d(x)=dist(x,∂Ω), λ>0, μ∈R, 0