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arXiv · 0808.3660

A Sobolev Poincar\'e type inequality for integral varifolds

Ulrich Menne
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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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Ulrich Menne. 2008-08-27. A Sobolev Poincar\'e type inequality for integral varifolds. https://doi.org/10.1007/s00526-009-0291-9

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