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Weak Fubini property and infinity harmonic functions in Riemannian and sub-Riemannian manifolds

Dragoni, Federica, Manfredi, Juan J. and Vittone, Davide 2013. Weak Fubini property and infinity harmonic functions in Riemannian and sub-Riemannian manifolds. Transactions of the American Mathematical Society 365 , pp. 837-859. 10.1090/S0002-9947-2012-05612-1

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Abstract

We examine the relationship between infinity harmonic functions, absolutely minimizing Lipschitz extensions, strong absolutely minimizing Lipschitz extensions, and absolutely gradient minimizing extensions in Carnot-Carath´eodory spaces. Using the weak Fubini property we show that absolutely minimizing Lipschitz extensions are infinity harmonic in any sub-Riemannian manifold.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Additional Information: First published in Transactions of the American Mathematical Society in volume 365, 2013, published by the American Mathematical Society
Publisher: American Mathematical Society
ISSN: 0002-9947
Date of First Compliant Deposit: 30 March 2016
Last Modified: 04 Jun 2017 04:26
URI: http://orca.cf.ac.uk/id/eprint/39158

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