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  A Sobolev Poincaré type Inequality for Integral Varifolds

Menne, U. (2010). A Sobolev Poincaré type Inequality for Integral Varifolds. Calculus of Variations and Partial Differential, 38(3-4), 369 -408. doi:10.1007/s00526-009-0291-9.

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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 a local inequality is provided which bounds the distance of an integral varifold from a multivalued plane (height) by its tilt and mean curvature. The bounds obtained for the exponents of the Lebesgue spaces involved are shown to be sharp.

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 Dates: 2010
 Publication Status: Issued
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 Identifiers: eDoc: 374105
Other: arXiv:0808.3660
URI: http://lanl.arxiv.org/abs/0808.3660
DOI: 10.1007/s00526-009-0291-9
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Title: Calculus of Variations and Partial Differential
Source Genre: Journal
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Pages: - Volume / Issue: 38 (3-4) Sequence Number: - Start / End Page: 369 - 408 Identifier: -