scholarly journals Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient

2021 ◽  
Vol 3 (4) ◽  
pp. 1-45
Author(s):  
Marco Cirant ◽  
◽  
Kevin R. Payne ◽  
◽  
◽  
...  
Keyword(s):  
Nonlinear Equations ◽  
Viscosity Solutions ◽  
Fully Nonlinear Equations ◽  
Fully Nonlinear ◽  
Comparison Principles

scholarly journals An application of the theorem on Sums to viscosity solutions of degenerate fully nonlinear equations

2019 ◽  
Vol 150 (2) ◽  
pp. 975-992
Author(s):  
Fausto Ferrari
Keyword(s):  
Nonlinear Equations ◽  
Viscosity Solutions ◽  
Carnot Groups ◽  
Hölder Continuous ◽  
Fully Nonlinear Equations ◽  
Fully Nonlinear ◽  
Uniformly Continuous

AbstractWe prove Hölder continuous regularity of bounded, uniformly continuous, viscosity solutions of degenerate fully nonlinear equations defined in all of ℝn space. In particular, the result applies also to some operators in Carnot groups.

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