scholarly journals Interior Regularity of Fully Nonlinear Degenerate Elliptic Equations I: Bellman Equations with Constant Coefficients

2015 ◽  
Vol 47 (3) ◽  
pp. 2375-2415 ◽  
Author(s):  
Wei Zhou
Keyword(s):  
Elliptic Equations ◽  
Degenerate Elliptic Equations ◽  
Fully Nonlinear ◽  
Bellman Equations ◽  
Interior Regularity ◽  
Degenerate Elliptic ◽  
Constant Coefficients ◽  
Nonlinear Degenerate

scholarly journals Generalized Keller-Osserman Conditions for Fully Nonlinear Degenerate Elliptic Equations

2018 ◽  
Vol 64 (1) ◽  
pp. 74-85
Author(s):  
I Capuzzo Dolcetta ◽  
F Leoni ◽  
A Vitolo
Keyword(s):  
Elliptic Equations ◽  
A Priori ◽  
Sufficient Conditions ◽  
Degenerate Elliptic Equations ◽  
Fully Nonlinear ◽  
Degenerate Elliptic ◽  
Whole Space ◽  
Necessary And Sufficient ◽  
Lower Order Terms ◽  
Nonlinear Degenerate

We discuss the existence of entire (i.e. defined on the whole space) subsolutions of fully nonlinear degenerate elliptic equations, giving necessary and sufficient conditions on the coefficients of the lower order terms which extend the classical Keller-Osserman conditions for semilinear elliptic equations. Our analysis shows that, when the conditions of existence of entire subsolutions fail, a priori upper bounds for local subsolutions can be obtained.

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