@article{a3331722ad4a464484c77539815e5aab,
title = "Some applications of the isoperimetric inequality for integral varifolds",
abstract = "In this work the isoperimetric inequality for integral varifolds of locally bounded first variation is used to obtain sharp estimates for the size of the set where the density quotient is small and to generalise Calder{\'o}n's and Zygmund's theory of first order differentiability for functions in Lebesgue spaces from Lebesgue measure to integral varifolds.",
keywords = "Height-excess, Integral varifolds, Locally bounded first variation, Tilt-excess",
author = "Ulrich Menne",
note = "Funding Information: The author acknowledges financial support via the DFG Forschergruppe 469. The research was carried out at the University of T{\"u}bingen and put in its final form at the AEI Golm and the ETH Z{\"u}rich. AEI publication number: AEI-2008-063.",
year = "2009",
month = jul,
doi = "10.1515/ACV.2009.010",
language = "English",
volume = "2",
pages = "247--269",
journal = "Advances in Calculus of Variations",
issn = "1864-8258",
publisher = "Walter de Gruyter GmbH & Co. KG",
number = "3",
}