Concentrations in Bernoulli's free boundary problem

Speaker: Prof. Michiaki Onodera (Institute of Science Tokyo)

Bernoulli’s free boundary problem is an overdetermined boundary value problem in which one seeks an annular domain such that the capacitary potential satisfies an extra boundary condition. I will talk about recent progress on a conjecture of Flucher and Rumpf that asserts the existence of a family of free boundaries concentrating at non-degenerate local minima of the Robin function.