Accepted Paper

Inserted: 5 may 2022
Last Updated: 24 apr 2023

Journal: Indiana Math. J.
Year: 2022

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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• draft6.pdf