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 th at such boundary value problems generate Fredholm operators between appropr iate Sobolev- Campanato spaces, that the weak solutions are Holder continuo us up to tile boundary and that they depend smoothly (in the sense of a Hol der norm) on the coefficients and on the right - hand sides of the equation s and boundary conditions.