Calculus of Variations and Geometric Measure Theory
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G. Citti - M. Manfredini - A. Pinamonti - F. Serra Cassano

Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group

created by pinamonti on 19 Feb 2012
modified on 08 Feb 2013


Accepted Paper

Inserted: 19 feb 2012
Last Updated: 8 feb 2013

Journal: Calc. Var. Partial Differential Equations
Year: 2013


We provide a regular approximation result and an area type formula for intrinsic Lipschitz functions in $\mathbb{H}^n$ endowed with its Carnot-Carathéodory metric structure. Moreover, we characterize intrinsic Lipschitz functions as those maps for which a regular approximation result holds and we provide an estimate of the Lipschitz constant of an intrinsic Lipschitz function in terms of the $L^{\infty}-$norm of its intrinsic gradient.


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