Regularity theory in Orlicz spaces for elliptic equations in Reifenberg domains

Abstract

In this paper, we establish the global estimates for divergence form elliptic equations in the Orlicz space Lφ{symbol} (Ω), where Ω is a bounded Reifenberg domain in Rn. Our result generalizes the W1, p estimates. © 2007 Elsevier Inc. All rights reserved.