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19 April 2024
 
  » arxiv » math.AP/0201186

 Article overview


A Bernstein problem for special Lagrangian equations
Yu Yuan ;
Date 20 Dec 2001
Subject Analysis of PDEs; Differential Geometry | math.AP math.DG
AbstractWe 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.
Source arXiv, math.AP/0201186
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