A Bernstein problem for special Lagrangian equations

DOI10.1007/S00222-002-0232-0zbMATH Open1027.53055arXivmath/0201186OpenAlexW3102330686MaRDI QIDQ1401445

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Publication date: 17 August 2003

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/math/0201186

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