  We develop a solution theory for a generalized electro-magneto static Maxwell
system in an exterior domain with anisotropic coefficients converging at
infinity with a certain rate towards the identity. Our main goal is to treat
right hand side data from some polynomially weighted Sobolev spaces and obtain
solutions which are up to a finite sum of special generalized spherical
harmonics in another appropriately weighted Sobolev space. As a byproduct we
prove a generalized spherical harmonics expansion suited for Maxwell equations.
In particular, our solution theory will allow us to give meaning to higher
powers of a special static solution operator. Finally we show, how this
weighted static solution theory can be extended to handle inhomogeneous
boundary data as well. This paper is the second one in a series of three
papers, which will completely reveal the low frequency behavior of solutions of
the time-harmonic Maxwell equations.
