PHRAGMÈN–LINDELÖF THEOREM FOR MINIMAL SURFACE EQUATIONS IN HIGHER DIMENSIONS

Here we prove that if u satisfies the minimal surface equa-tion in an unbounded domain which is properly contained in a half space of Rn, with n ≥ 2, then the growth rate of u is of the same order as that of the shape of Ω and the boundary value of u. 1. Introduction. Consider the minimal surface equation div Tu = 0