On a boundary value problem of the biharmonic equation

In this paper, we study a system of biharmonic equations coupled by the boundary conditions. These boundary conditions contain some combinations of the values, div, curl, and grad. Applications in mathematical physics are possible and the investigations will be done with the help of hypercomplex methods. It is also the aim of the paper to demonstrate the application of Clifford analytic methods to the solution of boundary value problems. The results on a special boundary value problem for the biharmonic equation will be used for the investigation of some first-order systems of partial differential equations. We study a theoretical problem connected with the a-problem and the solution of a Beltrami system by using a fixed-point iteration. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.