Renormalized solutions to elliptic equations with measure data in unbounded domains Original Research Article

We consider the nonlinear elliptic problem View the MathML source−div(a(x,∇u))+a0(x,u)=μ,in Ω,u=0 on ∂Ω, Turn MathJax on where ΩΩ is an open (possibly unbounded) subset of RNRN, N≥2N≥2, μμ is a Radon measure with bounded variation in ΩΩ, and View the MathML source(u)↦−div(a(x,∇u))+a0(x,u) is a monotone operator acting in View the MathML sourceW01,p(Ω), 1