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arxiv: 0807.3694 · v1 · submitted 2008-07-23 · 🧮 math.DG · math.AP

Disjoint minimal graphs

classification 🧮 math.DG math.AP
keywords disjointgraphsminimalnumberboundedcaseconjectureddomains
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We prove that the number s(n) of disjoint minimal graphs supported on domains in R^n is bounded by e(n+1)^2. In the two-dimensional case we show that s(2) is at most three (the conjectured number is two).

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