| Abstract: | Using the direct methods of calculus of variations, C.B. Morrey solved Plateau's problem in Riemannian manifolds. In the present paper, the results of R. Courant and N. Davids concerning the existence of minimal surfaces with free boundaries in Euclidean space are generalized to a large class of Riemannian manifolds. Furthermore, I show that the solutions are regular at the boundary.
Diese Arbeit beruht auf meiner Dissertation [8] und wurde im Sonderforschungsbereich Theoretische Mathematik an der Universität Bonn Verfaßt. |
