A generalisation of Reifenberg's theorem in 3-space

7 November 2005
Two dimensional minimal cones were fully classified by Jean Taylor in the mid 70's.  In joint work with G. David and T. De Pauw we prove that a closed set which is close to a minimal cone at all scales and at all locations is locally a bi-Hoelder image of a minimal cone.  This result is analogous to Reifenberg's disk theorem.  A couple of applications will be discussed.
  • Applied Analysis and Mechanics Seminar