Communications in Analysis and Geometry
Volume 29 (2021)
A maximum principle for free boundary minimal varieties of arbitrary codimension
Pages: 1509 – 1521
We establish a boundary maximum principle for free boundary minimal submanifolds in a Riemannian manifold with boundary, in any dimension and codimension. Our result holds more generally in the context of varifolds.
Received 31 October 2017
Accepted 19 December 2018
Published 11 January 2022