Asymptotics for solutions of elliptic equations in double divergence form

We consider weak solutions of an elliptic equation of the form partial derivative(i)partial derivative(i)(a(ij)u) = 0 and their asymptotic properties at an interior point. We assume that the coefficients are bounded, measurable, complex-valued functions that stabilize as x -> 0 in that the norm of the matrix (a(ij)(x) - delta(ij)) on the annulus B-2r\B-r is bounded by a function Omega(r), where Omega(2)(r) satisfies the Dini condition at r = 0, as well as some technical monotonicity conditions; under these assumptions, solutions need not be continuous. Our main result is an explicit formula for the leading asymptotic term for solutions with at most a mild singularity at x = 0. As a consequence, we obtain upper and lower estimates for the L-p-norm of solutions, as well as necessary and sufficient conditions for solutions to be bounded or tend to zero in L-p-mean as r -> 0.