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- Title
Decay Estimates for the Quadratic Tilt-Excess of Integral Varifolds.
- Authors
Menne, Ulrich
- 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.
- Subjects
VARIFOLDS; ESTIMATION theory; QUADRATIC forms; ARBITRARY constants; LEBESGUE integral; RADON measures
- Publication
Archive for Rational Mechanics & Analysis, 2012, Vol 204, Issue 1, p1
- ISSN
0003-9527
- Publication type
Article
- DOI
10.1007/s00205-011-0468-1