A Sobolev Poincaré type inequality for integral varifolds

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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. © 2009 The Author(s).

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APA

Menne, U. (2010). A Sobolev Poincaré type inequality for integral varifolds. Calculus of Variations and Partial Differential Equations, 38(3), 369–408. https://doi.org/10.1007/s00526-009-0291-9

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