  We extend the work of Simon and Wickramasekera, who constructed a large class
of $C^{1,\mu}$ multivalued solutions to the minimal surface equation, to
produce $C^{1,\mu}$ multivalued solutions to more general classes of elliptic
equations and systems, including the minimal surface system with small boundary
data and the Laplace equation. We use methods for differential equations, which
are more general than the specific minimal submanifold approach adopted by
Simon and Wickramasekera. We also prove the branch set of the graphs of the
solutions constructed by Simon and Wickramasekera are real analytic
submanifolds by inductively using Schauder estimates.
