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Bibliographic Details
Main Authors: Sarnataro, Lorenzo, Stryker, Douglas
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2304.02722
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Table of Contents:
  • We prove the optimal $C^{1,1}$ regularity for minimizers of the prescribed mean curvature functional over isotopy classes. As an application, we find an embedded sphere of prescribed mean curvature in the round 3-sphere for an open dense set of prescribing functions with $L^{\infty}$ norm at most 0.547.