Convex functions on Carnot groups
Copyright policy )Convex functions on Carnot groups
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.
- University Federico II of Naples Italy
- Wayne State University United States
- University of Pittsburgh United States
- University of Jyväskylä Finland
konveksit funktiot, 49L25, Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games, horizontal convexity, subelliptic equations, Carnot ryhmät, Degenerate elliptic equations, Horizontal convexity, viscosity convexity, 35J70, Boundary values of solutions to elliptic equations and elliptic systems, Analysis on real and complex Lie groups, Horizontal convexity; viscosity convexity; Carnot groups; subelliptic equations., Carnot groups, 35J67, Regularity of solutions in optimal control, Matematiikka, differentiaalilaskenta, Mathematics, 22E30
konveksit funktiot, 49L25, Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games, horizontal convexity, subelliptic equations, Carnot ryhmät, Degenerate elliptic equations, Horizontal convexity, viscosity convexity, 35J70, Boundary values of solutions to elliptic equations and elliptic systems, Analysis on real and complex Lie groups, Horizontal convexity; viscosity convexity; Carnot groups; subelliptic equations., Carnot groups, 35J67, Regularity of solutions in optimal control, Matematiikka, differentiaalilaskenta, Mathematics, 22E30
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