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Keywords:
elliptic equations; Morrey spaces
elliptic equations; Morrey spaces
Summary:
In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class $H^{1,p}_0(\Omega)$ for all $1<p<\infty$ and, as a consequence, the Hölder regularity of the solution $u$. $\Cal L$ is an elliptic second order operator with discontinuous coefficients $(VMO)$ and the lower order terms belong to suitable Lebesgue spaces.
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