Some Applications of the Isoperimetric Inequality for Integral Varifolds

Details Some Applications of the Isoperimetric Inequality for Integral Varifolds Some Applications of the Isoperimetric Inequality for Integral Varifolds

2008-08-27

arxiv.org/abs/0808.3652v1

Adv. Calc. Var. 2 (2009), no. 3, 247--269

Mathematics

Differential Geometry

15 pages, no figures

Scientific paper

10.1515/ACV.2009.010

In this work the Isoperimetric Inequality for integral varifolds is used to
obtain sharp estimates for the size of the set where the density quotient is
small and to generalise Calder\'on's and Zygmund's theory of first order
differentiability for functions in Lebesgue spaces from Lebesgue measure to
integral varifolds.

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