scholarly journals Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group

2020 ◽  
Vol 200 ◽  
pp. 112013 ◽  
Author(s):  
Alessandro Goffi
Keyword(s):  
Heisenberg Group ◽  
Nonlinear Pdes ◽  
Liouville Type ◽  
Fully Nonlinear ◽  
Fully Nonlinear Pdes ◽  
Liouville Type Results

scholarly journals Neural networks-based backward scheme for fully nonlinear PDEs

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Huyên Pham ◽  
Xavier Warin ◽  
Maximilien Germain
Keyword(s):  
Neural Networks ◽  
Nonlinear Pdes ◽  
Fully Nonlinear ◽  
Fully Nonlinear Pdes

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.

Fully Nonlinear PDEs in Real and Complex Geometry and Optics

2014 ◽  
Author(s):  
Luca Capogna ◽  
Pengfei Guan ◽  
Cristian E. Gutiérrez ◽  
Annamaria Montanari
Keyword(s):  
Complex Geometry ◽  
Nonlinear Pdes ◽  
Fully Nonlinear ◽  
Fully Nonlinear Pdes
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