scholarly journals Asymptotic behavior of solutions of fully nonlinear equations over exterior domains

2021 ◽  
Vol 358 (11-12) ◽  
pp. 1187-1197
Author(s):  
Xiaobiao Jia
2021 ◽  
Vol 4 (6) ◽  
pp. 1-18
Author(s):  
Liliane Maia ◽  
◽  
Gabrielle Nornberg ◽  

<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>


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