2 papers
math.DG2015
Free boundary minimal surfaces in the unit 3-ball
Abigail Folha, Frank Pacard, Tatiana Zolotareva
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 $ n…
math.DG2015
Higher codimension isoperimetric problems
Rafe Mazzeo, Frank Pacard, Tatiana Zolotareva
We consider a variational problem for submanifolds Q M with nonempty boundary Q = K. We propose the definition that the boundary K of any critical point Q have…