Asymptotics for solutions of elliptic equations in double divergence form

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We consider weak solutions of the adjoint equation for an elliptic operator in nondivergent form, and their asymptotic properties at an interior point. We assume that the coefficients aij are bounded, measurable, complex-valued functions that approach δij, but possibly at a slow rate. Our main result is an explicit formula for the leading asymptotic term for solutions with a most a mild singularity at x=0. As a consequence, we obtain upper and lower estimates for the Lᵖ-norm of solutions, as well as necessary and sufficient conditions for solutions to be bounded or tend to zero in Lᵖ-mean as r tends to zero.