Department of Mathematics2024-11-0920100002-932710.1353/ajm.0.01292-s2.0-77955887639https://hdl.handle.net/20.500.14288/1685We show that for a generic nullhomotopic simple closed curve Γ in the boundary of a compact, orientable, mean convex 3-manifold M with H2(M, Z) = 0, there is a unique area minimizing disk D embedded in M with ∂D = Γ. We also show that the same is true for nullhomologous curves in the absolutely area minimizing surface case.pdfMathematicsJournal Article1080-6377https://doi.org/10.1353/ajm.0.0129280509200007Q1NOIR00012