scholarly journals A Liouville type theorem for some conformally invariant fully nonlinear equations

2005 ◽  
pp. 321-328 ◽  
Author(s):  
Aobing Li ◽  
Yan Yan Li
Keyword(s):  
Nonlinear Equations ◽  
Type Theorem ◽  
Liouville Type ◽  
Fully Nonlinear Equations ◽  
Liouville Type Theorem ◽  
Fully Nonlinear ◽  
Conformally Invariant

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

2021 ◽  
pp. 2150060
Author(s):  
Bo Wang
Keyword(s):  
Heisenberg Group ◽  
Viscosity Solutions ◽  
Comparison Principle ◽  
Type Theorem ◽  
Liouville Type ◽  
Nonlinear Operators ◽  
Liouville Type Theorem ◽  
Fully Nonlinear

We obtain a Liouville-type theorem for cylindrical viscosity solutions of fully nonlinear CR invariant equations on the Heisenberg group. As a by-product, we also prove a comparison principle with finite singularities for viscosity solutions to more general fully nonlinear operators on the Heisenberg group.

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