Renormalized solutions to elliptic equations with measure data in unbounded domains

We consider the nonlinear elliptic problem −div(a(x,∇u))+a0(x,u)=μ,in Ω,u=0 on ∂Ω, where ΩΩ is an open (possibly unbounded) subset of RNRN, N≥2N≥2, μμ is a Radon measure with bounded variation in ΩΩ, and (u)↦−div(a(x,∇u))+a0(x,u) is a monotone operator acting in W01,p(Ω), 1