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Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory by Francesco Maggi

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26

Iteration, partial regularity, and singular sets

We finally prove the images-regularity theorems for local perimeter minimizers (Theorem 26.1), as well as for (images, r0)-perimeter minimizers (with images > 0; see Theorem 26.3). In the first case we prove images-regularity for every (0, 1), while in the second case the presence of the perturbation term r in the key ...

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