Some rigidity results for minimal graphs over unbounded Euclidean domains

Alberto Farina (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

We prove some new rigidity results for minimal graphs over unbounded Euclidean domains. In particular we prove that a positive minimal graph over an open affine half-space, and under the homogenous Dirichlet boundary condition, must be an affine function.

Domaines: Mathématiques [math]

Alberto Farina. Some rigidity results for minimal graphs over unbounded Euclidean domains. Discrete and Continuous Dynamical Systems - Series S, 2022, 15 (8), pp.2209. ⟨10.3934/dcdss.2022032⟩. ⟨hal-03851033⟩