A Sobolev Poincaré type Inequality for Integral Varifolds

Menne, Ulrich

doi:10.1007/s00526-009-0291-9

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A Sobolev Poincaré type Inequality for Integral Varifolds

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Menne, Ulrich
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Menne, U. (2010). A Sobolev Poincaré type Inequality for Integral Varifolds. Calculus of Variations and Partial Differential, 38(3-4), 369 -408. doi:10.1007/s00526-009-0291-9.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-6025-E

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.