Symmetry results for viscosity solutions of fully nonlinear equations in annular and exterior domains

2020 ◽  
Vol 485 (1) ◽  
pp. 123776
Author(s):  
Yuebin Hao ◽  
Limei Dai
Keyword(s):  
Nonlinear Equations ◽  
Viscosity Solutions ◽  
Exterior Domains ◽  
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.

scholarly journals Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains

2021 ◽  
Vol 4 (6) ◽  
pp. 1-18
Author(s):  
Liliane Maia ◽  
◽  
Gabrielle Nornberg ◽  
Keyword(s):  
Dynamical System ◽  
Nonlinear Equations ◽  
Shooting Method ◽  
Radial Solutions ◽  
Exterior Domains ◽  
Fully Nonlinear Equations ◽  
Fully Nonlinear ◽  
Positive Radial Solutions

<abstract><p>In this note we study existence of positive radial solutions in annuli and exterior domains for a class of nonlinear equations driven by Pucci extremal operators subject to a Hénon type weight. Our approach is based on the shooting method applied to the corresponding ODE problem, energy arguments, and the associated flow of an autonomous quadratic dynamical system.</p></abstract>

Sign in / Sign up

Export Citation Format

Share Document