The graphs of Lipschitz functions and minimal surfaces on Carnot groups

Author:

Karmanova M. B.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference35 articles.

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2. Hladky R. K. and Pauls S. D., “Minimal surfaces in the roto-translation group with applications to a neuro-biological image completion model,” J. Math. Imaging Vision, 36, No. 1, 1–27 (2010).

3. Petitot J., Neurogéométrie de la vision. Modèles mathématiques et physiques des architectures fonctionelles, Éd. École Polytech., Paris (2008).

4. Capogna L., Citti G., and Manfredini M., “Regularity of non-characteristic minimal graphs in the Heisenberg group H 1,” Indiana Univ. Math. J., 58, No. 5, 2115–2160 (2009).

5. Capogna L., Citti G., and Manfredini M., “Smoothness of Lipschitz intrinsic minimal graphs in Heisenberg group ℍn, n > 1,” Crelle’s J. (to be published).

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