Liouville properties and critical value of fully nonlinear elliptic operators

DOI10.1016/j.jde.2016.06.006zbMath1350.35045arXiv1604.03859OpenAlexW2963263505MaRDI QIDQ305403

Martino Bardi, Annalisa Cesaroni

Publication date: 29 August 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03859

zbMATH Keywords

sub- and supersolutionsergodic Hamilton-Jacobi-Bellman equationsstabilization in parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (12)

On the Liouville property for fully nonlinear equations with superlinear first-order terms ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group ⋮ Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries ⋮ Singular perturbations in stochastic optimal control with unbounded data ⋮ A Viscous Ergodic Problem with Unbounded and Measurable Ingredients, Part 1: HJB Equation ⋮ Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group ⋮ Strictly convex solutions for singular Monge-Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior ⋮ The ergodic problem for some subelliptic operators with unbounded coefficients ⋮ A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds ⋮ New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs ⋮ Certain Liouville properties of eigenfunctions of elliptic operators

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