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arXiv · 2308.00172

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

Zhichao Wang·Xin Zhou
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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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Zhichao Wang, Xin Zhou. 2023-07-31. Improved $C^{1,1}$ regularity for multiple membranes problem. https://arxiv.org/abs/2308.00172

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