Thursday, June 26, 2025 — 10:45 am — aula M1.6, edificio Matematica
Concentrations in Bernoulli’s free boundary problem
Abstract: 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.