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math.AP2019
Regularity of the free boundary for the two-phase Bernoulli problem
Guido De Philippis, Luca Spolaor, Bozhidar Velichkov
We prove a regularity theorem for the free boundary of minimizers of the two-phase Bernoulli problem, completing the analysis started by Alt, Caffarelli and Friedman in the 80s. As…
math.AP2019
Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
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 minimi…