A Sobolev Poincaré type inequality for integral varifolds

Details A Sobolev Poincaré type inequality for integral varifolds A Sobolev Poincaré type inequality for integral varifolds

2008-08-27

arxiv.org/abs/0808.3660v2

Calc. Var. Partial Differential Equations, 38:369--408, 2010

Mathematics

Differential Geometry

v1: 27 pages, no figures; v2: replaced citations of the author's dissertation by proofs, material of sections 1 and 3 reorgani

Scientific paper

10.1007/s00526-009-0291-9

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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