Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group
From MaRDI portal
Publication:2163400
DOI10.1007/s00208-020-02118-xzbMath1501.35100arXiv2006.06612OpenAlexW3115101845MaRDI QIDQ2163400
Alessandro Goffi, Martino Bardi
Publication date: 10 August 2022
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.06612
Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Subelliptic equations (35H20) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (4)
On the Liouville property for fully nonlinear equations with superlinear first-order terms ⋮ Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms ⋮ Liouville theorems for semilinear differential inequalities on sub-Riemannian manifolds ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Liouville properties and critical value of fully nonlinear elliptic operators
- The ergodic problem for some subelliptic operators with unbounded coefficients
- Liouville theorems for non-local operators
- Explicit subsolutions and a Liouville theorem for fully nonlinear uniformly elliptic inequalities in halfspaces
- Non-existence of positive solutions of fully nonlinear elliptic equations in unbounded domains
- Barrier functions for Pucci-Heisenberg operators and applications
- Liouville theorem for \(X\)-elliptic operators
- Liouville theorems for semilinear equations on the Heisenberg group
- Superharmonic functions in the Heisenberg group: estimates and Liouville theorems
- On the Liouville property for fully nonlinear equations
- Iterated Lie brackets for nonsmooth vector fields
- Variational approach to the asymptotic mean-value property for the \(p\)-Laplacian on Carnot groups
- Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group
- New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs
- Liouville type results and a maximum principle for non-linear differential operators on the Heisenberg group
- \(L^p\)-Liouville theorems for invariant partial differential operators in \(\mathbb{R}^n\)
- Nonlinear elliptic inequalities with gradient terms on the Heisenberg group
- Global Lipschitz regularizing effects for linear and nonlinear parabolic equations
- Liouville theorems for a family of very degenerate elliptic nonlinear operators
- On Liouville type theorems for fully nonlinear elliptic equations with gradient term
- Operatori ellittice estremanti
- Three-spheres theorems for subelliptic quasilinear equations in Carnot groups of Heisenberg-type
- Fundamental solutions of homogeneous fully nonlinear elliptic equations
- Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities
- Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry
- Convergence by Viscosity Methods in Multiscale Financial Models with Stochastic Volatility
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- A priori bounds for positive solutions of nonlinear elliptic equations
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- Hadamard and Liouville Type Results for Fully Nonlinear Partial Differential Inequalities
- Teoremi di Liouville e stime a priori per equazioni ellittiche semilineari
- Singular perturbations for a subelliptic operator
- Superlinear Parabolic Problems
- A fundamental solution for a subelliptic operator
- Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries
This page was built for publication: Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group
