  We derive high-order terms in the asymptotic expansions of the steady-state
voltage potentials in the presence of a finite number of diametrically small
inhomogeneities with conductivities different from the background conductivity.
Our derivation is rigorous, and based on layer potential techniques. The
asymptotic expansions in this paper are valid for inhomogeneities with
Lipschitz boundaries and those with extreme conductivities.
