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Dimension of the singular set for $2$-valued stationary Lipschitz graphs

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arxiv 2401.00279 v1 pith:5RJUY4UC submitted 2023-12-30 math.DG math.AP

classification math.DGmath.AP
keywords lipschitzsingularstationaryvaluedareacodimensiondimensiongraph
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abstract

We prove that the singular set of a $2$-valued Lipschitz graph that is stationary for the area is of codimension $1$.

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Cited by 1 Pith paper

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  1. On the Nature of Stationary Integral Varifolds near Multiplicity 2 Planes

    math.DG 2025-07 accept novelty 8.0 of 10

    Near a multiplicity-two plane, a stationary integral varifold with a topological separation condition in flat low-density cylinders is a generalized C^{1,alpha} two-valued graph with unique tangent cones.

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