On the Highly Oscillatory Geometric Variational Problems
Friday, May 29, 2015 - 11:00am - 11:30am
Betul Orcan-Ekmekci (Rice University)
In this talk, we present some recent results on the regularity and the asymptotic behavior of some geometric variational problems. First analysis is about a free boundary value problem in random media that is motivated by the one-phase Bernoulli problem. Second analysis is about the classical problem of Plateau with a highly oscillatory boundary condition. This part of the talk will present mostly open problems that are emerged from some interesting behaviors of solutions in different settings.