scholarly journals A priori bounds and multiplicity for fully nonlinear equations with quadratic growth in the gradient

2019 ◽  
Vol 276 (6) ◽  
pp. 1806-1852 ◽  
Author(s):  
Gabrielle Nornberg ◽  
Boyan Sirakov
Keyword(s):  
Nonlinear Equations ◽  
A Priori ◽  
Quadratic Growth ◽  
A Priori Bounds ◽  
Fully Nonlinear Equations ◽  
Fully Nonlinear

Gradient estimates for Monge–Ampère type equations on compact almost Hermitian manifolds with boundary

Analysis ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Masaya Kawamura
Keyword(s):  
Nonlinear Equations ◽  
Smooth Solution ◽  
A Priori ◽  
Gradient Estimates ◽  
Manifolds With Boundary ◽  
Fully Nonlinear Equations ◽  
Fully Nonlinear ◽  
Hermitian Manifolds ◽  
Almost Hermitian Manifolds ◽  
Monge Ampere

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.

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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