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Minimal laminations and level sets of 1-harmonic functions
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math.APmath.DG
keywords
minimallaminationsharmoniclevelsetsapplycollectconcerning
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abstract
We collect several results concerning regularity of minimal laminations, and governing the various modes of convergence for sequences of minimal laminations. We then apply this theory to prove that a function has locally least gradient (is $1$-harmonic) iff its level sets are a minimal lamination; this resolves an open problem of Daskalopoulos and Uhlenbeck.
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