Theorem shows anisotropic minimal graphs must be flat in half-space settings, indicating broader implications in geometric analysis.
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.
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Du et al. (2025) studied this question.
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