Special Session 99: 

A free boundary problem on cones

Mark Allen
Brigham Young University
USA
Co-Author(s):    Blake Barker, Jason Gardiner, Mingyan Zhao
Abstract:
We consider the one-phase Bernoulli problem on three-dimensional cones depending on a parameter c. The speaker showed that for c>c_1, the free boundary always avoids the vertex of the cone. Also, there exists a c_0>0 such that for c