Workshop: Sharp quantitative Faber-Krahn inequalities and the Alt-Caffarelli-Monotonicity formula

Date: 2022-09-05

Time: 13:30 - 14:30


Mark Allen


We present new sharp quantitative Faber-Krahn inequalities. We use a notion of distance that accounts for sets with zero measure but with positive capacity. By utilizing our Faber-Krahn inequality on the sphere, we establish a quantitative form of the Alt-Caffarelli-Monotonicity formula. This is joint work with Dennis Kriventsov and Robin Neumayer.