A half-space Bernstein theorem for anisotropic minimal graphs
We prove that an anisotropic minimal graph over a half-space with flat boundary must itself be flat. This generalizes a result of Edelen–Wang to the anisotropic case. The proof uses only the maximum principle and ideas from fully nonlinear PDE theory in lieu of a monotonicity formula.
Authors
- Connor Mooney (ORCID: https://orcid.org/0000-0003-1148-1973)
- Jingze Zhu (ORCID: https://orcid.org/0000-0002-9408-5548)
- Yang Yang
- Wenkui Du
Institutions
- Johns Hopkins University (US)
- University of California, Irvine (US)
- Massachusetts Institute of Technology (US)
Publication Details
- Journal
- Journal of the European Mathematical Society
- Published
- 2025-08-29
- DOI
- https://doi.org/10.4171/jems/1695
- Primary Topic
- Advanced Graph Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00