Existence of radial solutions for nonlinear elliptic equations with gradient terms in annular domains

2019 ◽  
Vol 187 ◽  
pp. 93-109
Author(s):  
Xu Dong ◽  
Yuanhong Wei
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Radial Solutions ◽  
Nonlinear Elliptic ◽  
Annular Domains

scholarly journals Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms

2020 ◽  
Vol 40 (2) ◽  
pp. 933-982 ◽  
Author(s):  
Marie-Françoise Bidaut-Véron ◽  
◽  
Marta Garcia-Huidobro ◽  
Laurent Véron ◽  
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Radial Solutions ◽  
Nonlinear Elliptic ◽  
Scaling Invariant ◽  
Mixed Reaction

scholarly journals Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Limei Dai ◽  
Huihui Cheng ◽  
Hongfei Li
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Classical Solutions ◽  
Radial Solutions ◽  
Fully Nonlinear Elliptic Equations ◽  
Nonlinear Elliptic ◽  
Hessian Equations ◽  
Existence And Nonexistence ◽  
Moving Plane ◽  
Monge Ampere

AbstractFirst, the symmetry of classical solutions to the Monge–Ampère-type equations is obtained by the moving plane method. Then, the existence and nonexistence of radial solutions in a ball are got from the symmetry results. Finally, the existence and nonexistence of classical solutions to Hessian equations in bounded domains are considered.

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