A Frequency Function and Singular Set Bounds for Branched Minimal Immersions |
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| Authors: | Leon Simon Neshan Wickramasekera |
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| Institution: | 1. Mathematics Department, Stanford University, Stanford, CA, USA;2. University of Cambridge, United Kingdom |
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| Abstract: | We establish a frequency function monotonicity formula for two‐valued C1,α solutions to the minimal surface system on n‐dimensional domains. We also establish the sharp regularity result that such solutions are of class C1, 1/2, and that their branch sets, if nonempty, have Hausdorff dimension equal to n‐2.© 2016 Wiley Periodicals, Inc. |
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