The Bernstein theorem for a class of fourth order equations

Zhou, Bin
January 2012
Calculus of Variations & Partial Differential Equations;Jan2012, Vol. 43 Issue 1/2, p25
Academic Journal
In 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.


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