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arXiv · 2207.12289

Large scale regularity of almost minimizers of the one-phase problem in periodic media

William M Feldman
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Abstract

We prove that minimizers and almost minimizers of one-phase free boundary energy functionals in periodic media satisfy large scale (1) Lipschitz estimates (2) free boundary flat implies Lipschitz estimates. The proofs are based on techniques introduced by De Silva and Savin for almost minimizers in homogeneous media.

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William M Feldman. 2022-07-25. Large scale regularity of almost minimizers of the one-phase problem in periodic media. https://doi.org/10.15781/52x3-ja93

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