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arXiv · 1602.06941

Partial regularity of almost minimizing rectifiable G chains in Hilbert space

Thierry De Pauw·Roger Züst
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Abstract

We adapt to an infinite dimensional ambient space E.R. Reifenberg's epiperimetric inequality and a quantitative version of D. Preiss' second moments computations to establish that the set of regular points of an almost mass minimizing rectifiable $G$ chain in $\ell_2$ is dense in its support, whenever the group $G$ of coefficients is so that $\{\|g\| : g \in G \}$ is discrete and closed.

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Thierry De Pauw, Roger Züst. 2016-02-22. Partial regularity of almost minimizing rectifiable G chains in Hilbert space. https://arxiv.org/abs/1602.06941

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