Given any , we show that if is an open convex domain (e.g. a half-space), and is a solution to the minimal surface equation which agrees with a linear function on , then must itself be linear.
Cite this article
Nick Edelen, Zhehui Wang, A Bernstein-type theorem for minimal graphs over convex domains. Ann. Inst. H. Poincaré Anal. Non Linéaire 39 (2022), no. 3, pp. 749–760DOI 10.4171/AIHPC/18