Work

The stable Bernstein theorem in $\mathbb{R}^{7}$

Year: 2026

Type: preprint

Abstract: We give a Green-function proof of the stable Bernstein theorem in $\mathbb R^7$ for smooth, connected, complete, two-sided minimal hypersurface, thus resolving the last case in stable Bernstein problem.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.15720

Authors: Hong, Han, Li, Haizhong, Wang, Gaoming

Institutions: Tsinghua University, Beijing Institute of Mathematical Sciences and Applications

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Princeton University

OpenAlex ID: W7213236979

Cites:

Cited by:

Related to: