Some estimates on stable minimal hypersurfaces in Euclidean space
Abstract
We derive some estimates for stable minimal hypersurfaces in Rn+1. The estimates are related to recent proofs of Bernstein theorems for complete stable minimal hypersurfaces in Rn+1 for 3 n 5 by Chodosh-Li, Chodosh-Li-Minter-Stryker and Mazet. In particular, the estimates indicate that the methods in their proofs may not work for n=6, which is observed also by Antonelli-Xu and Mazet. The method of derivation in this work might also be applied to other problems.
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