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Convex functions on Carnot groups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 30 Apr 2007 Italy, Italy, Finland Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Revista Matemática Iberoamericana, volume 23, pages 191-200 (issn: 0213-2230, eissn: 2235-0616,

Authors: P. JUUTINEN; G. LU; J. MANFREDI; STROFFOLINI, BIANCA;

doi: 10.4171/rmi/490

handle: 11588/165741

Convex functions on Carnot groups

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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.

Countries

Italy, Italy, Finland

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Keywords

konveksit funktiot, 49L25, horizontal convexity, subelliptic equations, Carnot ryhmät, Horizontal convexity, viscosity convexity, 35J70, Horizontal convexity; viscosity convexity; Carnot groups; subelliptic equations., Carnot groups, 35J67, Matematiikka, differentiaalilaskenta, Mathematics, 22E30

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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%