ON SOLUTIONS TO THE SCHWARZ PROBLEM IN A DISK IN THE THREE-DIMENSIONAL CASE

摘要

We consider the Schwarz problem for first order elliptic systems in the plane. We obtain the conditions on three- and two-dimensional matrices J admitting nondiagonal Jordan form under which a solution to the Schwarz problem in an arbitrary disk exists and is unique in Holder classes. We describe an algorithm for constructing the solution. Bibliography: 5 titles.