Decay estimates for the quadratic tilt-excess of integral varifolds

Menne, Ulrich

doi:10.1007/s00205-011-0468-1

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Decay estimates for the quadratic tilt-excess of integral varifolds

MPS-Authors

/persons/resource/persons4295

Menne, Ulrich
Geometric Measure Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

0909.3253v1.pdf
(Preprint), 768KB

0909.3253v2.pdf
(Preprint), 747KB

0909.3253v3.pdf
(Preprint), 839KB

ARMAonline.pdf
(Any fulltext), 869KB

Arma204_1.pdf
(Any fulltext), 850KB

Supplementary Material (public)

There is no public supplementary material available

Citation

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.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-60E6-9

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.