We prove Berstein type theroms for minimal n-submanifolds in Rn+p with flat normal bundle under certain growth conditions for p greater than or equal to 2 and n less than or equal to 5, as well for arbitrary n and p = 1. When M is a graphic minimal hyperface we recover the known result.
"Berstein Type Theroms Without Graphic Condition." Asian J. Math. 9 (1) 031 - 044, March, 2005.