Minimal surfaces in a wedge of a slab
The authors study a generalized Plateau problem for certain boundaries consisting of line segments and half-lines. They obtain existence results for the desired minimal surfaces by constructing the needed Weierstrass representations and proving that the requisite geometric properties hold. Those surfaces are then used as barriers to prove the convex hull property for certain properly immersed minimal surfaces.
scientific article; zbMATH DE number 1833137