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Award ID contains: 1800645

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  1. ; (, American Journal of Mathematics)
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  2. ; (, Journal of the European Mathematical Society)
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  3. ; (, Archive for Rational Mechanics and Analysis)
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  4. ; (, Nonlinear Analysis)
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  5. ; (, La Matematica)
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  6. ; (, Mathematics in Engineering)
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  7. ; ; (, Calculus of Variations and Partial Differential Equations)
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  8. ; (, Ars inveniendi analytica)
    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. 
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  9. ; (, SIAM Journal on Mathematical Analysis)
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