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math.DG2016
A gap theorem for free boundary minimal surfaces in the three-ball
Lucas Ambrozio, Ivaldo Nunes
We show that, among free boundary minimal surfaces in the unit ball in the three-dimensional Euclidean space, the flat equatorial disk and the critical catenoid are characterised b…
math.DG2016
On stable constant mean curvature surfaces with free boundary
Ivaldo Nunes
In [20], Ros and Vergasta proved that an immersed orientable compact stable constant mean curvature surface with free boundary in a closed ball must be a…