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  Some Applications of the Isoperimetric Inequality for Integral Varifolds

Menne, U. (2009). Some Applications of the Isoperimetric Inequality for Integral Varifolds. Advances in Calculus of Variations, 2, 247-269. doi:10.1515/ACV.2009.010.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4594-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-5FA0-3
Genre: Journal Article

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acv.2009.010.pdf (Publisher version), 199KB
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 Creators:
Menne, Ulrich1, Author              
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: 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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 Dates: 2009
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 374104
Other: arXiv:0808.3652
URI: http://lanl.arxiv.org/abs/0808.3652
DOI: 10.1515/ACV.2009.010
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Title: Advances in Calculus of Variations
Source Genre: Journal
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Pages: - Volume / Issue: 2 Sequence Number: - Start / End Page: 247 - 269 Identifier: -