The Regularity of Parametrized Integer Stationary Varifolds in Two Dimensions
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2020-09
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Journal Article
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Abstract
We establish an optimal regularity result for parametrized two-dimensional stationary varifolds. Namely, we show that the parametrization map is a smooth minimal branched immersion and that the multiplicity function is constant. We provide some applications of this regularity result, especially in the calculus of variations for the area functional. © 2020 Wiley Periodicals LLC.
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published
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73 (9)
Pages / Article No.
1981 - 2042
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Wiley
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03600 - Rivière, Tristan / Rivière, Tristan