Boundary regularity for minimizing currents with prescribed mean curvature

We prove complete boundary regularity for energy minimizing integer multiplicity rectifiablen currents in ⁿ⁺¹ of prescribed mean curvatureH with boundaryB= represented by an oriented smooth submanifold of dimensionn – 1 in sun+1. We also give applications to the Plateau problem for surfaces with prescribed mean curvature.This article was processed by the author using the LaT_EX style filepljour1 from Springer-Verlag.