Positive radial solutions of a quasilinear problem in an exterior domain with vanishing boundary conditions

2021 ◽  
pp. 1
Author(s):  
Juan C. Guajardo ◽  
Sebastián Lorca ◽  
Rajesh Mahadevan
Keyword(s):  
Boundary Conditions ◽  
Exterior Domain ◽  
Radial Solutions ◽  
Positive Radial Solutions ◽  
Quasilinear Problem

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.

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.

Existence of positive radial solutions for a superlinear semipositone p-Laplacian problem on the exterior of a ball

2018 ◽  
Vol 148 (2) ◽  
pp. 409-428 ◽  
Author(s):  
Quinn Morris ◽  
Ratnasingham Shivaji ◽  
Inbo Sim
Keyword(s):  
Boundary Conditions ◽  
Variational Methods ◽  
Nonlinear Boundary ◽  
A Priori ◽  
Nonlinear Boundary Conditions ◽  
Radial Solutions ◽  
Existence Of A Solution ◽  
Positive Radial Solutions

We prove the existence of positive radial solutions to a class of semipositone p-Laplacian problems on the exterior of a ball subject to Dirichlet and nonlinear boundary conditions. Using variational methods we prove the existence of a solution, and then use a priori estimates to prove the positivity of the solution.

Sign in / Sign up

Export Citation Format

Share Document