The anisotropic Bernstein problem

• 成果类型: Article; Early Access
• 署名作者: Mooney, Connor; Yang, Yang
• 署名单位: University of California System; University of California Irvine
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-023-01222-4
• 发表日期: 2023
• 关键词: regularity; hypersurfaces; CURVATURE; cones

摘要

We construct nonlinear entire anisotropic minimal graphs over R-4, completing the solution to the anisotropic Bernstein problem. The examples we construct have a variety of growth rates, and our approach both generalizes to higher dimensions and recovers and elucidates known examples of nonlinear entire minimal graphs over R-n, n >= 8.