Continuity of minimal surfaces with piecewise smooth free boundaries (Q1078814)

This paper proves the continuity up to the boundary of a (not necessarily area minimizing) minimal surface of finite area in a Riemannian manifold of bounded geometry and with a free boundary consisting of various pieces of (possibly various dimensions) of class \(C^ 2\) meeting at nonzero angles, having bounded second fundamental forms and uniform neighborhoods in which the nearest point projection is uniquely defined.