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Elliptic Equations in Divergence Form with Partially BMO Coefficients
Archive for Rational Mechanics and Analysis, no. 1 (2010): 25-70
Abstract
The solvability in Sobolev spaces is proved for divergence form second order elliptic equations in the whole space, a half
space, and a bounded Lipschitz domain. For equations in the whole space or a half space, the leading coefficients a
ij
are assumed to be only measurable in one direction and have locally small BMO semi-norms in ...More
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