A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group

DOI10.1142/S0219199721500607zbMath1500.35148OpenAlexW3197780796MaRDI QIDQ5043835

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Publication date: 6 October 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199721500607

zbMATH Keywords

Liouville theoremsCR invariant equations on the Heisenberg group

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group

Cites Work

• Unnamed Item
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• Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms
• On fully nonlinear CR invariant equations on the Heisenberg group
• Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations
• Semi-linear Liouville theorems in the Heisenberg group via vector field methods
• The Yamabe problem on CR manifolds
• Strong maximum principle for semicontinuous viscosity solutions of nonlinear partial differential equations
• Symmetry and related properties via the maximum principle
• Liouville theorems for semilinear equations on the Heisenberg group
• Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations
• An a priori estimate for a fully nonlinear equation on four-manifolds.
• An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
• On the strong maximum principle for fully nonlinear degenerate elliptic equations
• Conformal geometry, contact geometry, and the calculus of variations
• The axisymmetric \(\sigma_k\)-Nirenberg problem
• Removable singularities for degenerate elliptic Pucci operator on the Heisenberg group
• Riesz capacity, maximum principle and removable sets of fully nonlinear second order elliptic operators.
• Strong comparison principles for some nonlinear degenerate elliptic equations
• Maximum principle and generalized principal eigenvalue for degenerate elliptic operators
• Remarks on the comparison principle for quasilinear PDE with no zeroth order terms
• Comparison principle and Liouville type results for singular fully nonlinear operators
• Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators
• On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe
• Hypoelliptic second order differential equations
• The conjectures on conformal transformations of Riemannian manifolds
• Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Nonlinear liouville theorems in the heisenberg group vip the moving plane method
• On some conformally invariant fully nonlinear equations
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators
• Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group
• Characterization by Symmetry of Solutions of a Nonlinear Subelliptic Equation on the Heisenberg Group
• Existence, Uniqueness and Removable Singularities for Nonlinear Partial Differential Equations in Geometry
• Comparison Principle for Viscosity Solutions of Fully Nonlinear, Degenerate Elliptic Equations
• A fundamental solution for a subelliptic operator
• Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group
• Local gradient estimates of solutions to some conformally invariant fully nonlinear equations

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