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arXiv · 1901.02007

Almost minimizers of the one-phase free boundary problem

Daniela De Silva·Ovidiu Savin
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Abstract

We consider almost minimizers to the one-phase energy functional and we prove their optimal Lipschitz regularity and partial regularity of their free boundary. These results were recently obtained by David and Toro, and David, Engelstein, and Toro. Our proofs provide a different method based on a non-infinitesimal notion of viscosity solutions.

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Daniela De Silva, Ovidiu Savin. 2019-01-07. Almost minimizers of the one-phase free boundary problem. https://arxiv.org/abs/1901.02007

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