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.
Convex functions in Carnot Groups / Stroffolini, Bianca. - (2004). (Intervento presentato al convegno AMS meeting special session " Subelliptic structures" tenutosi a Pittsburgh University, PA, USA. nel 6 novembre 2004).
Convex functions in Carnot Groups
STROFFOLINI, BIANCA
2004
Abstract
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.File in questo prodotto:
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