Free boundary regularity in the multiple membrane problem in the plane
Analysis of PDEs
2021-09-22 v1
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 -curves near a regular intersection point.
Keywords
Cite
@article{arxiv.2109.10182,
title = {Free boundary regularity in the multiple membrane problem in the plane},
author = {Ovidiu Savin and Hui Yu},
journal= {arXiv preprint arXiv:2109.10182},
year = {2021}
}
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43 pages