Calculus of Variations and Geometric Measure Theory

V. Magnani - T. Rajala

Radon-Nikodym property and area formula for Banach homogeneous group targets

created by magnani on 17 Jan 2012
modified on 24 Jul 2015


Published Paper

Inserted: 17 jan 2012
Last Updated: 24 jul 2015

Journal: Int. Math. Res. Not. IMRN
Volume: 23
Pages: 6399–6430
Year: 2014


We prove a Rademacher-type theorem for Lipschitz mappings from a subset of a Carnot group to a Banach homogeneous group, equipped with a suitably weakened Radon-Nikodym property. We provide a metric area formula that applies to these mappings and more generally to all almost everywhere metrically differentiable Lipschitz mappings defined on a Carnot group.

Tags: GeMeThNES