A Sobolev Poincaré type inequality for integral varifolds

Menne, Ulrich
July 2010
Calculus of Variations & Partial Differential Equations;Jul2010, Vol. 38 Issue 3/4, p369
Academic Journal
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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