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A strong maximum principle for minimizers of the one-phase Bernoulli problem

Published 1 May 2022 in math.AP and math.DG | (2205.00401v1)

Abstract: We prove a strong maximum principle for minimizers of the one-phase Alt-Caffarelli functional. We use this to construct a Hardt-Simon-type foliation associated to any 1-homogenous global minimizer.

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