Abstract
In this paper we study the Neumann and regularity problems for divergence form symmetric elliptic operators L = div AV, where A = (aifiX)) is a matrix of bounded measurable functions and ellipticity is the existence of a ,~ > 0 such that 2-114[ 2 < ~ais~ir < 21412 for all ~ I R " . We assume that L is defined in the unit ball B, but the methods of proof are sufficiently general to allow B to be a bounded starlike Lipschitz domain. The Neumann problem Lu = 0 in B AVuN(Q) = f ,
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