W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data

Abstract

We give an overview on some results concerning the unique solvability of the Dirichlet problem in $W^{2,p}$, $p>1$, for second-order linear elliptic partial differential equations in nondivergence form and with singular data in weighted Sobolev spaces. We also extend such results to the planar case.