Some applications of the isoperimetric inequality for integral varifolds

Ulrich Menne

doi:10.1515/ACV.2009.010

Some applications of the isoperimetric inequality for integral varifolds

Ulrich Menne^*

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

13 引文斯高帕斯（Scopus）

摘要

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 Calderón's and Zygmund's theory of first order differentiability for functions in Lebesgue spaces from Lebesgue measure to integral varifolds.

原文	英語
頁（從 - 到）	247-269
頁數	23
期刊	Advances in Calculus of Variations
卷	2
發行號	3
DOIs	https://doi.org/10.1515/ACV.2009.010
出版狀態	已發佈 - 2009 7月
對外發佈	是

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應用數學

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10.1515/ACV.2009.010

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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.",

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Some applications of the isoperimetric inequality for integral varifolds

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