scholarly journals Positive radial solutions to classes of singular problems on the exterior domain of a ball

2016 ◽  
Vol 434 (2) ◽  
pp. 1597-1611 ◽  
Author(s):  
Eun Kyoung Lee ◽  
R. Shivaji ◽  
Byungjae Son
Keyword(s):  
Exterior Domain ◽  
Radial Solutions ◽  
Singular Problems ◽  
Positive Radial Solutions

scholarly journals Three Solutions Theorem forp-Laplacian Problems with a Singular Weight and Its Application

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Yong-Hoon Lee ◽  
Seong-Uk Kim ◽  
Eun Kyoung Lee
Keyword(s):  
Exterior Domain ◽  
Upper And Lower Solutions ◽  
Solution Space ◽  
Combustion Model ◽  
Radial Solutions ◽  
Three Solutions ◽  
Singular Weight ◽  
One Dimensional ◽  
Positive Radial Solutions ◽  
Three Solutions Theorem

We prove Amann type three solutions theorem for one dimensionalp-Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consider the combustion model and show the existence of three positive radial solutions on an exterior domain.

Sign in / Sign up

Export Citation Format

Share Document