M. Colombo - L. Spolaor - B. Velichkov

Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem

Accepted Paper

Inserted: 10 aug 2019
Last Updated: 18 mar 2021

Journal: Interfaces and Free Boundaries
Year: 2021

Abstract:

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.

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• uniqueness7-revised.pdf