Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 55, 2006 - Issue 4
67
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Optimization in the Heisenberg group

, &
Pages 387-403 | Received 02 Feb 2005, Accepted 22 Dec 2005, Published online: 31 Jan 2007

References

  • Danielli , D , Garofalo , N and Nhieu , DM . 2003 . Notions of convexity in Carnot groups . Communications in Analysis and Geometry , 11 : 263 – 341 .
  • Garofalo , N and Tournier , F . 2006 . New properties of convex functions in the Heisenberg group . Trans. Amer. Math. Soc. , 358 : 2011 – 2055 .
  • Gutiérrez , C and Montanari , A . 2004 . Maximum and comparison principles for convex functions on the Heisenberg group . Communications Partial Differential Equations , 29 ( 9–10 ) : 1305 – 1334 .
  • Gutiérrez , CE and Montanari , A . 2004 . On the second order derivatives of convex functions on the Heisenberg group . Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V , 3 ( 2 ) : 349 – 366 .
  • Juutinen , P , Lu , G , Manfredi , JJ and Stroffolini , B . Convex functions of Carnot groups (To appear in Revista Matematica Iberoamericana)
  • Lu , G , Manfredi , JJ and Stroffolini , B . 2004 . Convex functions on Heisenberg group . Calculus of Variations , 19 : 1 – 22 .
  • Magnani , V . 2006 . Lipschitz continuity, Alexandrov theorem and characterizations for H-convex functions . Math. Annalen , 334 : 199 – 233 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.