Global regularity for divergence form elliptic equations in Orlicz spaces on quasiconvex domains

In this paper, we derive the global regularity of weak solutions to divergence form elliptic equations in the Orlicz space W01Lϕ with ϕ∈∇2∩Δ2ϕ∈∇2∩Δ2. The domain considered here is quasiconvex, which is a generalization of the Reifenberg flat domain.