Liouville-type results for fully nonlinear subelliptic equations on the Heisenberg group

DOI10.1080/17476933.2023.2166497zbMATH Open1547.35136MaRDI QIDQ6536907

Wei Shi

Publication date: 14 May 2024

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Maximum principles in context of PDEs (35B50) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Viscosity solutions to PDEs (35D40) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Liouville properties and critical value of fully nonlinear elliptic operators
• The strong maximum principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators
• The ergodic problem for some subelliptic operators with unbounded coefficients
• Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms
• On fully nonlinear CR invariant equations on the Heisenberg group
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Barrier functions for Pucci-Heisenberg operators and applications
• Strong maximum principle for semicontinuous viscosity solutions of nonlinear partial differential equations
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Liouville theorems for semilinear equations on the Heisenberg group
• Nonlinear Liouville theorems for Grushin and Tricomi operators.
• Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations
• The axisymmetric \(\sigma_k\)-Nirenberg problem
• Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group
• Strong comparison principles for some nonlinear degenerate elliptic equations
• Liouville type results and a maximum principle for non-linear differential operators on the Heisenberg group
• Nonlinear elliptic inequalities with gradient terms on the Heisenberg group
• Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities
• Spherical Harmonics on the Heisenberg Group
• User’s guide to viscosity solutions of second order partial differential equations
• Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. II: Concave operators
• ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
• A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group
• Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group
• Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. I: Convex operators

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