1. Home
  2. events
  3. Non-degenerate minimal surfaces as energy concentration sets: a variational approach

Non-degenerate minimal surfaces as energy concentration sets: a variational approach

Analysis Seminar

Non-degenerate minimal surfaces as energy concentration sets: a variational approach

-
Guido De Philippis, New York University

I will show that every non-degenerate minimal sub-manifold of听codimension 2 can be obtained as the energy concentration set of a family听of critical points of the (rescaled) Ginzburg Landau functional. The proof听is purely varia-tional, and follows the strategy laid by Jerrard and听Sternberg in 2009.听The same proof applies also to the Yang-Mills-Higgs听and to the Allen-Cahn-Hillard energies.

This is a joint work with听Alessandro Pigati.听