scholarly journals Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources

2018 ◽  
Vol 1 (1) ◽  
pp. 147-173
Author(s):  
Sandro Salsa ◽  
◽  
Francesco Tulone ◽  
Gianmaria Verzini ◽  
Keyword(s):  
Nonlinear Equations ◽  
Viscosity Solutions ◽  
Two Phase ◽  
Fully Nonlinear Equations ◽  
Fully Nonlinear

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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