Viscosity convex functions on carnot groups

By Changyou Wang. 2003

48 citations recorded by the source corpus.

We prove that any upper semicontinuous v-convex function in any Carnot group is h-convex. ?

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/96e431ca40984900d2cfbbceea2e83d942216015

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Valentino Magnani
2. G. Lu
3. Juan J. Manfredi
4. Petri Juutinen
5. Bianca Stroffolini
6. A. Montanari
7. Cristian E. Gutiérrez
8. Nguyen Huong Lam

In Geometry and Topology

1. G. Lu
2. Juan J. Manfredi
3. Bianca Stroffolini
4. Petri Juutinen
5. A. Montanari
6. Cristian E. Gutiérrez
7. Valentino Magnani
8. Nguyen Huong Lam

Citations in the corpus

• Convex functions on Carnot groups. (2007, methodology): “This equivalence has also been established independently by Wang [18] and Magnani [14].”
• Lipschitz continuity, Aleksandrov theorem and characterizations for H-convex functions (2006, result): “Recently, different proofs of this result have been given in [21], [30] and [ 36 ].”
• Maximum and Comparison Principles for Convex Functions on the Heisenberg Group (2003, background): “All these definitions are now known to be equivalent even in the general case of Carnot groups, see [2], [7], [9], and [ 13 ].”