6533b85efe1ef96bd12bf309
RESEARCH PRODUCT
Convex functions on Carnot Groups
Bianca StroffoliniJuan J. ManfrediPetri JuutinenGuozhen Lusubject
Convex analysisPure mathematicsCarnot groupsubelliptic equations.49L25Mathematics::Complex VariablesGeneral MathematicsMathematical analysissubelliptic equationsMathematics::Analysis of PDEsHorizontal convexityviscosity convexity35J70Convexitysymbols.namesakeCarnot groupsHomogeneous35J67Convex optimizationsymbolsPoint (geometry)Carnot cycleConvex function22E30Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-04-01 |