Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem

DOI10.3934/DCDS.2020395zbMath1479.35446OpenAlexW3110949598WikidataQ114022672 ScholiaQ114022672MaRDI QIDQ2030806

Isabeau Birindelli, Fabiana Leoni, Francoise Demengel

Publication date: 8 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020395

zbMATH Keywords

degenerate elliptic operatorsLiouville-type theoremssingular elliptic operatorsfully nonlinear operatorsergodic functions

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Viscosity solutions to PDEs (35D40) Singular elliptic equations (35J75) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

A note on one-dimensional symmetry for Hamilton-Jacobi equations with extremal Pucci operators and application to Bernstein type estimate

Cites Work

• Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians
• Fully nonlinear operators with Hamiltonian: Hölder regularity of the gradient
• Gradient bounds for elliptic problems singular at the boundary
• The ``ergodic limit for a viscous Hamilton-Jacobi equation with Dirichlet conditions
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• One-dimensional symmetry of bounded entire solutions of some elliptic equations
• Symmetry results in the half-space for a semi-linear fractional Laplace equation
• \(C^{1,\alpha}\) regularity of solutions of some degenerate fully non-linear elliptic equations
• Dirichlet problems for fully nonlinear equations with ``subquadratic Hamiltonians
• Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces
• \({\mathcal{C}}^{1, \gamma }\) regularity for singular or degenerate fully nonlinear equations and applications
• Harmonic Function Theory
• One-dimensional symmetry for solutions of Allen Cahn fully nonlinear equations
• Hölder estimates for degenerate elliptic equations with coercive Hamiltonians
• A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton–Jacobi equations
• Ergodic pairs for singular or degenerate fully nonlinear operators
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem