Decay Estimates for the Quadratic Tilt-Excess of Integral Varifolds

Ulrich Menne

doi:10.1007/s00205-011-0468-1

Decay Estimates for the Quadratic Tilt-Excess of Integral Varifolds

Ulrich Menne^*

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

This paper concerns integral varifolds of arbitrary dimension in an open subset of Euclidean space with their first variation given by either a Radon measure or a function in some Lebesgue space. Pointwise decay results for the quadratic tiltexcess 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.

Original language	English
Pages (from-to)	1-83
Number of pages	83
Journal	Archive for Rational Mechanics and Analysis
Volume	204
Issue number	1
DOIs	https://doi.org/10.1007/s00205-011-0468-1
Publication status	Published - 2012 Apr
Externally published	Yes

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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Decay Estimates for the Quadratic Tilt-Excess of Integral Varifolds

Abstract

ASJC Scopus subject areas

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