Inserted: 10 aug 2019
Last Updated: 18 mar 2021
Journal: Interfaces and Free Boundaries
We answer a question left open in Arch. Rat. Mech. Anal. 230 (1) (2018), 125-184 and Arch. Rat. Mech. Anal. 230 (2) (2018), 783-784, by proving that the blow-up of minimizers u of the lower dimensional obstacle problem is unique at generic point of the free-boundary.