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

Published 4 Aug 2019 in math.AP | (1908.01413v2)

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 limit of minimizers $u$ of the lower dimensional obstacle problem is unique at generic point of the free-boundary.

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