Xin Zhou

activity

20092026

most citedMin-max theory for free boundary minimal hypersurfaces I - regularity theory

39 citations · 205 across the 34 of their papers we have counts for

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2 papers · 1 filter

math.AP2023★ 1 cited

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

Zhichao Wang, Xin Zhou

We prove the $C^{1, 1}$ -regularity for stationary $C^{1, α}$ ( $α \in (0, 1)$ ) solutions to the multiple membrane problem. This regularity estimate was essentially used in our recent wor…

math.AP2018★ 9 cited

Min-max minimal disks with free boundary in Riemannian manifolds

Longzhi Lin, Ao Sun, Xin Zhou

In this paper, we establish a min-max theory for constructing minimal disks with free boundary in any closed Riemannian manifold. The main result is an effective version of the par…

Improved C1,1 regularity for multiple membranes problem

Min-max minimal disks with free boundary in Riemannian manifolds

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