Finiteness of the set of solutions of Plateau’s problem for polygonal boundary curves

Universität Duisburg-Essen (2009)
Buch / Monographie / Fach: Mathematik
Habilitationsschrift (kumulativ)
Abstract:
Habilitationsschrift (kumulativ): 
Finiteness of the set of solutions of Plateau’s problem for polygonal boundary curves, Ann. I. H. Poincaré, AN 24 (2007), 963-987; Boundary Branch Points of Minimal Surfaces Spanning Extreme Polygons, Result.Math. 55 (2009), 87-100;
Finiteness of the number of solutions of Plateau's problem for polygonal boundary curves II, Ann. Glob. Anal. geom. (2009) 36:19-35;
Local boundedness of the number of solutions of Plateau's problem for polygonal boundary curves, Ann. Glob. Anal. Geom. (2008) 33:231-244;
Schwarz operators of minimal surfaces spanning polygonal boundary curves, Calc. Var. (2007) 30:467-476.