Viscosity convex functions on Carnot groups

2003/09/04 by Changyou Wang, Wang, Changyou
Computer Science · Mathematics · #35H20 #35J70 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Equations Stability Results #Nonlinear Partial Differential Equations #Optimization and Variational Analysis #math.AP #msc:35H20 #msc:35J70

paper · pdf · doi:10.48550/arxiv.math/0309079

8 pages

arxiv created 2003/09/04 · openalex publication_date 2003/09/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that any locally bounded from below, upper semicontinuous v-convex function in any Carnot group is h-convex.

Related

• c horizontal convexity on Carnot groups
• Geometric second derivative estimates in Carnot groups and convexity
• Convex Functions on Sub-Riemannian Manifolds. I
• Two characterization of BV functions on Carnot groups via the heat semigroup
• Inequalities via φ_h,m-convexity