Removable singularities of solutions of linear uniformly elliptic second order equations

Let L be a uniformly elliptic linear second order differential operator in divergence form with bounded measurable real coefficients in a bounded domain G subset of R(n) (n >= 2). We define classes of continuous functions in G that contain generalized solutions of the equation Lf = 0 and have the property that the compact sets removable for such solutions in these classes can be completely described in terms of Hausdorff measures.