A Bernstein problem for special Lagrangian equations

Mathematics – Analysis of PDEs

Scientific paper

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9 pages, submitted on December 10, 2001

Scientific paper

We derive a Bernstein type result for the special Lagrangian equation,
namely, any global convex solution must be quadratic. In terms of minimal
surfaces, the result says that any global minimal Lagrangian graph with convex
potential must be a hyper-plane.

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