In this paper we give solutions of boundary value problems for differential forms, generalizing Poisson's equation for functions. We focus on problems which for instance give an easy access to decomposition results like those of Hodge, Kodaira and Morrey. The search for general solutions and the proof of appropriate a priori estimates will be the central part of this publication.
"H. Weyl's boundary value problems for differential forms." Differential Integral Equations 14 (8) 937 - 952, 2001.