Geodesic
Free boundary regularity in the triple membrane problem
Ars Inveniendi Analytica (2021)

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We investigate the regularity of the free boundaries in the 3 elastic membranes problem. We show that the two free boundaries corresponding to the coincidence regions between consecutive membranes are $C^{1,\log}$-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 $C^{1,\alpha}$-hypersurface. The second type of singular points stratify and each stratum is locally covered by a $C^1$-manifold.
Publié le :
DOI : 10.15781/ys6e-4d80 
@article{10_15781_ys6e_4d80,
     author = {Ovidiu Savin and Hui Yu},
     title = {Free boundary regularity in the triple membrane problem},
     journal = {Ars Inveniendi Analytica},
     publisher = {mathdoc},
     year = {2021},
     doi = {10.15781/ys6e-4d80},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.15781/ys6e-4d80/}
}
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Ovidiu Savin; Hui Yu. Free boundary regularity in the triple membrane problem. Ars Inveniendi Analytica (2021). doi: 10.15781/ys6e-4d80

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