The Bernstein theorem for a class of fourth order equations

Zhou, Bin2015-12-100944-2669http://hdl.handle.net/1885/67237In this paper, we prove the 2-dimensional Bernstein theorem for a class of fourth order equations including Abreu's equation. The main ingredients of the paper are the a priori estimates and the proof of the strict convexity.The Bernstein theorem for a class of fourth order equations201210.1007/s00526-011-0401-32015-12-10