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  Decay estimates for the quadratic tilt-excess of integral varifolds

Menne, U. (2012). Decay estimates for the quadratic tilt-excess of integral varifolds. Archive for Rational Mechanics and Analysis, 204(1), 1-83. doi:10.1007/s00205-011-0468-1.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-60E6-9 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-B36E-B
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 Creators:
Menne, Ulrich1, Author           
Affiliations:
1Geometric Measure Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_1753352              

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 Abstract: This paper concerns integral varifolds of arbitrary dimension in an open subset of Euclidean space with its first variation given by either a Radon measure or a function in some Lebesgue space. Pointwise and almost everywhere decay results for the quadratic tilt-excess are established for those varifolds. The results are optimal in terms of the dimension of the varifold and the exponent of the Lebesgue space in most cases, for example if the varifold is not two-dimensional.

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 Dates: 2009201120112012
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: eDoc: 436324
arXiv: 0909.3253
DOI: 10.1007/s00205-011-0468-1
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Title: Archive for Rational Mechanics and Analysis
Source Genre: Journal
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Publ. Info: Berlin : Springer-Verlag
Pages: - Volume / Issue: 204 (1) Sequence Number: - Start / End Page: 1 - 83 Identifier: ISSN: 0003-9527
CoNE: https://pure.mpg.de/cone/journals/resource/954925381021