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arXiv · 0805.3715

A boundary value problem for minimal Lagrangian graphs

S. Brendle·M. Warren
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Abstract

Let Ωand \tildeΩ be uniformly convex domains in \mathbb{R}^n with smooth boundary. We show that there exists a diffeomorphism f: Ω\to \tildeΩ such that the graph Σ= \{(x,f(x)): x \in Ω\} is a minimal Lagrangian submanifold of \mathbb{R}^n \times \mathbb{R}^n.

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S. Brendle, M. Warren. 2009-10-20. A boundary value problem for minimal Lagrangian graphs. https://arxiv.org/abs/0805.3715

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