The Bernstein theorem for a class of fourth order equations

Bin Zhou

doi:10.1007/s00526-011-0401-3

The Bernstein theorem for a class of fourth order equations

Bin Zhou^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	25-44
Number of pages	20
Journal	Calculus of Variations and Partial Differential Equations
Volume	43
Issue number	1-2
DOIs	https://doi.org/10.1007/s00526-011-0401-3
Publication status	Published - Jan 2012

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JO - Calculus of Variations and Partial Differential Equations

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The Bernstein theorem for a class of fourth order equations

Abstract

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