Convexity and semiconvexity along vector fields

DOI10.1007/s00526-011-0392-0zbMath1232.26012OpenAlexW2048100470MaRDI QIDQ645006

Martino Bardi, Federica Dragoni

Publication date: 8 November 2011

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0392-0

zbMATH Keywords

convexityLipschitz continuityviscositysemiconvexity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Convexity of real functions of several variables, generalizations (26B25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Sub-Riemannian geometry (53C17) Viscosity solutions to PDEs (35D40)

Related Items (13)

Unnamed Item ⋮ Geometric Hardy inequalities on starshaped sets ⋮ Interior a priori estimates for supersolutions of fully nonlinear subelliptic equations under geometric conditions ⋮ Lipschitz continuous viscosity solutions for a class of fully nonlinear equations on Lie groups ⋮ Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups ⋮ Sharp comparison and maximum principles via horizontal normal mapping in the Heisenberg group ⋮ Regularity properties of \(H\)-convex sets ⋮ Stochastic Homogenization for Functionals with Anisotropic Rescaling and Noncoercive Hamilton--Jacobi Equations ⋮ \( \Gamma \)-convergence and homogenisation for a class of degenerate functionals ⋮ Starshapedeness for fully non‐linear equations in Carnot groups ⋮ The Aronsson equation, Lyapunov functions, and local Lipschitz regularity of the minimum time function ⋮ On viscosity and equivalent notions of solutions for anisotropic geometric equations ⋮ Quasiconvex functions and nonlinear PDEs

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