Barrier functions for Pucci-Heisenberg operators and applications

DOI10.1504/IJDSDE.2007.016514zbMath1168.35012arXivmath/0702818OpenAlexW2114460067MaRDI QIDQ998824

Nicoletta Tchou, Alessandra Cutrì

Publication date: 30 January 2009

Published in: International Journal of Dynamical Systems and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702818

zbMATH Keywords

viscosity solutionHeisenberg groupHamilton-Jacobi equationsbarrier functionsnonlinear Dirichlet problemsPucci operator

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (8)

The Dirichlet problem for fully nonlinear elliptic equations non-degenerate in a fixed direction ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group ⋮ Hölder behavior of viscosity solutions of some fully nonlinear equations in the Heisenberg group ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries ⋮ Interior a priori estimates for supersolutions of fully nonlinear subelliptic equations under geometric conditions ⋮ Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group ⋮ Periodic homogenization under a hypoellipticity condition ⋮ Removable singularities for degenerate elliptic Pucci operator on the Heisenberg group

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