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Title: Free boundary regularity in the triple membrane problem
We investigate the regularity of the free boundaries in the three elastic membranes problem. We show that the two free boundaries corresponding to the coincidence regions between consecutive membranes are C1,log-hypersurfaces near a regular intersection point. We also study two types of singular intersections. The first type of singular points are locally covered by a C1,alpha-hypersurface. The second type of singular points stratify and each stratum is locally covered by a C1-manifold.  more » « less
Award ID(s):
1800645
NSF-PAR ID:
10407546
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Ars inveniendi analytica
Volume:
2021
Issue:
3
ISSN:
2769-8505
Page Range / eLocation ID:
1-49
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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