Global Estimates for Quasilinear Elliptic Equations on Reifenberg Flat Domains

Document Type

Article

Publication Date

1-1-2012

Abstract

New global regularity estimates are obtained for solutions to a class of quasilinear elliptic boundary value problems. The coefficients are assumed to have small BMO seminorms, and the boundary of the domain is sufficiently flat in the sense of Reifenberg. The main regularity estimates obtained are in weighted Lorentz spaces. Other regularity results in Lorentz-Morrey, Morrey, and Hölder spaces are shown to follow from the main estimates. © 2011 Springer-Verlag.

Publication Source (Journal or Book title)

Archive for Rational Mechanics and Analysis

First Page

189

Last Page

216

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