Hessian estimates for fully nonlinear equations via the large-M-inequality principle

Author(s):  
Mikyoung Lee ◽  
Jihoon Ok
2018 ◽  
Vol 1 (1) ◽  
pp. 147-173
Author(s):  
Sandro Salsa ◽  
◽  
Francesco Tulone ◽  
Gianmaria Verzini ◽  

Analysis ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Masaya Kawamura

Abstract We investigate Monge–Ampère type fully nonlinear equations on compact almost Hermitian manifolds with boundary and show a priori gradient estimates for a smooth solution of these equations.


2019 ◽  
Vol 150 (2) ◽  
pp. 975-992
Author(s):  
Fausto Ferrari

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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