Uniqueness results for free-boundary minimal hypersurfaces in conformally Euclidean balls and annular domains

Ezequiel Barbosa, Edno Pereira, Rosivaldo Antônio Gonçalves

In this paper we prove that a flat free-boundary minimal $n$-disk, $n\ge 3$, in the unit Euclidean ball $B^{n+1}$ is the unique compact free boundary minimal hypersurface in the un…