Global weighted W2,p estimates for nondivergence elliptic equations with small BMO coefficients

Abstract

Recently, Byun and Lee [On weighted W2,p estimates for elliptic equations with BMO coefficients in nondivergence form, Internat. J. Math.26 (2015), Article ID: 1550001, 28pp.] proved that [Formula: see text] for the solutions of [Formula: see text] with small BMO coefficients. In this paper we shall extend the result in the above-mentioned paper to the following result under the same assumptions [Formula: see text] As a corollary we obtain Lp-type regularity for such equations.