scientific article; zbMATH DE number 7151652

zbMath1428.35654MaRDI QIDQ5208232

Doaa Filali, Federica Dragoni

Publication date: 15 January 2020

Full work available at URL: http://www.heldermann.de/JCA/JCA26/JCA264/jca26072.htm#jca263

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Heisenberg groupconvexvector fieldsCarnot groupstar-likeHörmander conditionstarshapedsub-Riemannian

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Convexity properties of solutions to PDEs with constant coefficients (35E10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Other notions of convexity in relation to several complex variables (32F17)

Related Items (3)

Strict starshapedness of solutions to the horizontal \(p\)-Laplacian in the Heisenberg group ⋮ Horizontally quasiconvex envelope in the Heisenberg group ⋮ Pohozaev-type identities for differential operators driven by homogeneous vector fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convexity and semiconvexity along vector fields
• Lipschitz continuity, Aleksandrov theorem and characterizations for \(H\)-convex functions
• Convex functions on Carnot groups
• Convex functions on the Heisenberg group
• The theorem of Busemann-Feller-Alexandrov in Carnot groups
• Sub-Riemannian geometry. Proceedings of the satellite meeting of the first European congress of mathematics `Journées nonholonomes: géométrie sous-riemannienne, théorie du contrôle, robotique', Paris, France, June 30--July 1, 1992
• Notion of convexity in Carnot groups
• First-order regularity of convex functions on Carnot groups
• Existence and starshapedness for the lane-emden equation
• Viscosity convex functions on Carnot groups
• New properties of convex functions in the Heisenberg group
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Starshapedness of Level Sets for Solutions of Nonlinear Elliptic Equations
• Generic Properties of Compact Starshaped Sets
• Starshapedness of the superlevel sets of solutions to equations involving the fractional Laplacian in starshaped rings
• Starshapedness of level sets of solutions to elliptic PDEs
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: