Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis

@inproceedings{Ragusa2010EllipticBV,
title={Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis},
author={Maria Alessandra Ragusa},
year={2010}
}

In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class H 0 (Ω) for all 1 < p < ∞ and, as a consequence, the Hölder regularity of the solution u. L is an elliptic second order operator with discontinuous coefficients (V MO) and the lower order terms belong to suitable Lebesgue spaces.