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Convex functions on the Heisenberg group

  • Guozhen LuEmail author
  • Juan J. Manfredi
  • Bianca Stroffolini
Article

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.

Keywords

Differential Equation Partial Differential Equation Euclidean Space Convex Function Heisenberg Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • Guozhen Lu
    • 1
    Email author
  • Juan J. Manfredi
    • 1
  • Bianca Stroffolini
    • 1
  1. 1.Department of MathematicsWayne State UniversityDetroitUSA

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