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

collaborators

Showing 2023Show all

3 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.DG2023★ 1 cited

Existence of four minimal spheres in $S^{3}$ with a bumpy metric

Zhichao Wang, Xin Zhou

We prove that in the three dimensional sphere with a bumpy metric or a metric with positive Ricci curvature, there exist at least four distinct embedded minimal two-spheres. This c…

math.DG2023

The Half-Volume Spectrum of a Manifold

Liam Mazurowski, Xin Zhou

We define the half-volume spectrum ${ω ~_{p}}_{p \in N}$ of a closed manifold $(M^{n + 1}, g)$ . This is analogous to the usual volume spectrum of $M$ , except that we restr…

Improved C1,1 regularity for multiple membranes problem

Existence of four minimal spheres in S3 with a bumpy metric

The Half-Volume Spectrum of a Manifold

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

Existence of four minimal spheres in $S^{3}$ with a bumpy metric