Open AccessConvex functions on Carnot groups
Author(s) -
Petri Juutinen,
Guozhen Lu,
Juan J. Manfredi,
Bianca Stroffolini
Publication year - 2007
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/490
Subject(s) - carnot cycle , mathematics , regular polygon , pure mathematics , geometry , physics , thermodynamics
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom