A Sobolev Poincaré type inequality for integral varifolds

Ulrich Menne

doi:10.1007/s00526-009-0291-9

A Sobolev Poincaré type inequality for integral varifolds

Ulrich Menne^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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.

Original language	English
Pages (from-to)	369-408
Number of pages	40
Journal	Calculus of Variations and Partial Differential Equations
Volume	38
Issue number	3
DOIs	https://doi.org/10.1007/s00526-009-0291-9
Publication status	Published - 2010 Jul
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00526-009-0291-9

Cite this

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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.",

author = "Ulrich Menne",

note = "Funding Information: The author acknowledges financial support via the Forschergruppe no. 469 of the Deutsche Forschungsgemeinschaft. The research was carried out while the author was a PhD student at the University of T{\"u}bingen and put in its final form while the author was at the AEI Golm and the ETH Z{\"u}rich. AEI publication number: AEI-2008-064. ",

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PY - 2010/7

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N2 - 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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DO - 10.1007/s00526-009-0291-9

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AN - SCOPUS:77952430971

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JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3

ER -

A Sobolev Poincaré type inequality for integral varifolds

Abstract

ASJC Scopus subject areas

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