Convex functions on Carnot groups
Juutinen, Petri ; Lu, Guozhen ; Manfredi, Juan J. ; Stroffolini, Bianca
Rev. Mat. Iberoamericana, Tome 23 (2007) no. 1, p. 191-200 / Harvested from Project Euclid
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We consider the definition and regularity properties of convex functions in Carnot groups. We show that various notions of convexity in the subelliptic setting that have appeared in the literature are equivalent. Our point of view is based on thinking of convex functions as subsolutions of homogeneous elliptic equations.
Publié le : 2007-04-14
Classification:  horizontal convexity,  viscosity convexity,  Carnot groups,  subelliptic equations,  49L25,  35J70,  35J67,  22E30 
@article{1180728889,
     author = {Juutinen, Petri and Lu, Guozhen and Manfredi, Juan J. and Stroffolini, Bianca},
     title = {Convex functions on Carnot groups},
     journal = {Rev. Mat. Iberoamericana},
     volume = {23},
     number = {1},
     year = {2007},
     pages = { 191-200},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1180728889}
}

Juutinen, Petri; Lu, Guozhen; Manfredi, Juan J.; Stroffolini, Bianca. Convex functions on Carnot groups. Rev. Mat. Iberoamericana, Tome 23 (2007) no. 1, pp.  191-200. http://gdmltest.u-ga.fr/item/1180728889/