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arXiv · 2109.10182

Free boundary regularity in the multiple membrane problem in the plane

Ovidiu Savin·Hui Yu
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Abstract

We study the regularity of free boundaries in the multiple elastic membrane problem in the plane. We prove the uniqueness of blow-ups, and that the free boundaries are $C^{1,\log}$-curves near a regular intersection point.

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Ovidiu Savin, Hui Yu. 2021-09-21. Free boundary regularity in the multiple membrane problem in the plane. https://arxiv.org/abs/2109.10182

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