Elliptic Equations in Divergence Form with Partially Bmo Coefficients

@inproceedings{Dong2009EllipticEI,
  title={Elliptic Equations in Divergence Form with Partially Bmo Coefficients},
  author={Hongjie Dong},
  year={2009}
}
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 are assumed to be measurable in one direction and have small BMO semi-norms in the other directions. For equations in a bounded domain, additionally we assume that a have small BMO semi-norms in a neighborhood of the boundary of the domain. We give a unified… CONTINUE READING

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