Finiteness of Disjoint Minimal Graphs

  title={Finiteness of Disjoint Minimal Graphs},
  author={Peter Zhi Xuan Li and Jiaping Wang},
of u in R is called a minimal graph supported on Ω. In a recent article of Meeks-Rosenberg [M-R], where they proved the unicity of the helicoid, the authors showed that if the defining functions {ui} of a set of disjointly supported minimal graphs {Gi} have bounded gradients, then the number of graphs must be finite. In a private communication with the first author, Rosenberg posed the question if the number of disjoint minimal graphs, whose defining functions are at most polynomial growth of a… CONTINUE READING

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