Department of Mathematics2024-11-0920100002-9327N/A2-s2.0-77955887639https://hdl.handle.net/20.500.14288/11395We show that for a generic nullhomotopic simple closed curve Gamma in the boundary of a compact, orientable. mean convex 3-manifold M with H-2(M, Z) = 0. there is a unique area minimizing disk D embedded in M with partial derivative D = Gamma. We also show that the same is true for nullhomologous curves in the absolutely area minimizing surface case.MathematicsGeneric uniqueness of area minimizing disks for extreme curvesJournal Article1080-6377280509200007Q111840