A Bernstein-type theorem for minimal graphs over convex domains
Nick Edelen
University of Notre Dame, United States of AmericaZhehui Wang
Chinese Academy of Sciences, Beijing, China
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Abstract
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. 749–760
DOI 10.4171/AIHPC/18