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Improved $C^{1,1}$ regularity for multiple membranes problem

Published 31 Jul 2023 in math.AP and math.DG | (2308.00172v2)

Abstract: We prove the $C{1,1}$-regularity for stationary $C{1,\alpha}$ ($\alpha\in(0,1)$) solutions to the multiple membrane problem. This regularity estimate was essentially used in our recent work on Yau's four minimal spheres conjecture.

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