| Affiliation: | (1) Department of Mathematics, Wayne State University, MI 48202 Detroit, USA;(2) Department of Mathematics, University of Pittsburgh, PA 15260 Pittsburgh, USA;(3) Dipartimento di Matematica e Applicazioni, Universitá degli studi di Napoli Federico II, Complesso Monte S. Angelo Edificio !["ldquo"]("/content/m3ybp1yl9vgtpbqu/xlarge8220.gif") T!["rdquo"]("/content/m3ybp1yl9vgtpbqu/xlarge8221.gif") , Via Cintia, 80126 Napoli, Italy |
| Abstract: | Convex functions in Euclidean space can be characterized as universal viscosity subsolutions of all homogeneous fully nonlinear second order elliptic partial differential equations. This is the starting point we have chosen for a theory of convex functions on the Heisenberg group.Received: 5 July 2002, Accepted: 24 October 2002, Published online: 6 June 2003Mathematics Subject Classification (1991): 49L25, 35J70, 35J67, 22E30Guozhen Lu: First author supported by US NSF grant DMS-9970352Juan J. Manfredi: Second author supported by US NSF grant DMS-0100107Bianca Stroffolini: Third author was supported by G.N.A.M.P.A. and by the 2002 project Partial Differential Equations and Control Theory |
