Some estimates on stable minimal hypersurfaces in Euclidean space
| Autor: | Tam, Luen-Fai |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We derive some estimates for stable minimal hypersurfaces in $\R^{n+1}$. The estimates are related to recent proofs of Bernstein theorems for complete stable minimal hypersurfaces in $\R^{n+1}$ for $3\le n\le 5$ 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. The method of derivation in this work might also be applied to other problems. |
| Databáze: | arXiv |
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