A half-space Bernstein theorem for anisotropic minimal graphs
classification
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math.DG
keywords
anisotropicflathalf-spaceminimalbernsteinboundarycaseedelen-wang
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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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