We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smooth maps, with pointwise convergent intrinsic gradient. We also provide an estimate of the Lipschitz constant of an intrinsic Lipschitz function in terms of the TeX -norm of its intrinsic gradient
Giovanna Citti, Maria Manfredini, Andrea Pinamonti, Francesco Serra Cassano (2014). Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 49(3/4), 1279-1308 [10.1007/s00526-013-0622-8].
Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group
CITTI, GIOVANNA;MANFREDINI, MARIA;
2014
Abstract
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smooth maps, with pointwise convergent intrinsic gradient. We also provide an estimate of the Lipschitz constant of an intrinsic Lipschitz function in terms of the TeX -norm of its intrinsic gradientFile in questo prodotto:
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