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math.AP2015
A rigidity result for overdetermined elliptic problems in the plane
Antonio Ros, David Ruiz, Pieralberto Sicbaldi
Let be a (locally) Lipschitz function and a domain whose boundary is unbounded and connected. If there exists a pos…
math.DG2015
The local picture theorem on the scale of topology
William H. Meeks, Joaquin Perez, Antonio Ros
We prove a descriptive theorem on the extrinsic geometry of an embedded minimal surface of injectivity radius zero in a homogeneously regular Riemannian three-manifold, in a certai…