Global bifurcation of positive radial solutions of elliptic equations of order 2m in annular domains

2021 ◽  
Vol 23 (1) ◽  
Author(s):  
Ruyun Ma ◽  
Dongliang Yan
Keyword(s):  
Elliptic Equations ◽  
Global Bifurcation ◽  
Radial Solutions ◽  
Positive Radial Solutions ◽  
Annular Domains

scholarly journals Global bifurcation of sign-changing radial solutions of elliptic equations of order 2m in annular domains

2020 ◽  
Vol 5 (5) ◽  
pp. 4909-4916
Author(s):  
Ruyun Ma ◽  
◽  
Dongliang Yan ◽  
Liping Wei ◽  
Keyword(s):  
Elliptic Equations ◽  
Global Bifurcation ◽  
Radial Solutions ◽  
Annular Domains

scholarly journals Existence of positive radial solutions for a class of nonlinear singular elliptic problems in annular domains

1992 ◽  
Vol 35 (3) ◽  
pp. 405-418 ◽  
Author(s):  
Zongming Guo
Keyword(s):  
Boundary Conditions ◽  
Degree Theory ◽  
Elliptic Problems ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Radial Solutions ◽  
Positive Radial Solutions ◽  
Annular Domains ◽  
Radially Symmetric Solutions

We establish the existence of positive radially symmetric solutions of Δu+f(r,u,u′) = 0 in the domainR1<r<R0with a variety of Dirichlet and Neumann boundary conditions. The functionfis allowed to be singular when eitheru= 0 oru′ = 0. Our analysis is based on Leray-Schauder degree theory.

Sign in / Sign up

Export Citation Format

Share Document