Linear elliptic boundary value problems with non-smooth data: Normal solvability on Sobolev-Campanato spaces

In this paper linear elliptic boundary value problems of second order with non - smooth data (L-infinity-coefficients, Lipschitz domains, regular sets, non-homogeneous mixed boundary conditions) are considered. It is shown that such boundary value problems generate Fredholm operators between appropriate Sobolev- Campanato spaces, that the weak solutions are Holder continuous up to the boundary and that they depend smoothly (in the sense of a Holder norm) on the coefficients and on the right - hand sides of the equations and boundary conditions.