Anmerkungen:
Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
Beschreibung:
The Plateau problem asks whether every Jordan curve in Euclidean space can bound a minimal surface. Its solution by Douglas and Rado dates back to the 1930s. In recent work Lytchak-Wenger have generalized the solution of Plateau's problem to singular metric ambient spaces. This thesis studies the structure of the arising metric space valued minimal surfaces. We investigate the analytical and topological regularity of these minimal surfaces, as well as their intrinsic geometry. We also provide applications of the metric theory that are new even for Euclidean space. E.g. we solve the Plateau problem (and the more general Plateau-Douglas problem) for singular boundary values where self-intersections are allowed.