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

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Isabeau Birindelli ◽  
◽  
Françoise Demengel ◽  
Fabiana Leoni ◽  
Keyword(s):  
Type Theorem ◽  
Liouville Type ◽  
Nonlinear Operators ◽  
Liouville Type Theorem ◽  
Fully Nonlinear

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.

A Liouville Type Theorem for Poly-harmonic System with Dirichlet Boundary Conditions in a Half Space

2015 ◽  
Vol 15 (1) ◽  
Author(s):  
Zhao Liu ◽  
Wei Dai
Keyword(s):  
Boundary Conditions ◽  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Dirichlet Boundary ◽  
Type Theorem ◽  
Dirichlet Boundary Conditions ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Harmonic System

AbstractIn this paper, we consider the following poly-harmonic system with Dirichlet boundary conditions in a half space ℝwherewhereis the Green’s function in ℝ

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