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arXiv · 1812.03094

Thin One-Phase almost minimizers

Daniela De Silva·Ovidiu Savin
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Abstract

We consider almost minimizers to the thin-one phase energy functional and we prove optimal regularity of the solution and partial regularity of the free boundary. We thus recover the theory for energy minimizers. Our methods are based on a noninfinitesimal notion of viscosity solutions.

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Daniela De Silva, Ovidiu Savin. 2018-12-07. Thin One-Phase almost minimizers. https://arxiv.org/abs/1812.03094

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