Open AccessSome rigidity results for minimal graphs over unbounded Euclidean domains
Author(s) -
Alberto Farina
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2022032
Subject(s) - affine transformation , euclidean geometry , mathematics , euclidean space , rigidity (electromagnetism) , affine space , combinatorics , graph , discrete mathematics , pure mathematics , geometry , physics , quantum mechanics
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.