9 research outputs found
Free boundary minimal surfaces in the unit 3-ball
In a recent paper A. Fraser and R. Schoen have proved the existence of free
boundary minimal surfaces in which have genus and
boundary components, for all . For large , we give an independent
construction of and prove the existence of free boundary minimal
surfaces in which have genus and boundary
components. As tends to infinity, the sequence converges to a
double copy of the unit horizontal (open) disk, uniformly on compacts of
while the sequence converges to a double copy of the unit
horizontal (open) punctured disk, uniformly on compacts of