Calculus of Variations and Geometric Measure Theory

V. Magnani

Area implies coarea

created by magnani on 21 Jan 2010
modified on 24 Jun 2013


Published Paper

Inserted: 21 jan 2010
Last Updated: 24 jun 2013

Journal: Indiana Univ. Math. J.
Volume: 60
Pages: 77-100
Year: 2011


We regard one side of the coarea formula as a measure and compute its density by an area-type formula. As an application, we show the first nontrivial example of coarea formula for vector-valued sub-Riemannian Lipschitz mappings.

Keywords: coarea formula, Heisenberg groups, implicit function theorem