Calculus of Variations and Geometric Measure Theory

N. Edelen - L. Spolaor - B. Velichkov

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

created by velichkov on 05 May 2022

[BibTeX]

Preprint

Inserted: 5 may 2022
Last Updated: 5 may 2022

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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