scholarly journals Positive radial solutions to classes of p-Laplacian systems on the exterior of a ball with nonlinear boundary conditions

2022 ◽  
Vol 214 ◽  
pp. 112540
Author(s):  
Byungjae Son ◽  
Peiyong Wang
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Radial Solutions ◽  
Positive Radial Solutions

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.

Ordinary Differential Equations with Nonlinear Boundary Conditions

2002 ◽  
Vol 9 (2) ◽  
pp. 287-294
Author(s):  
Tadeusz Jankowski
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Ordinary Differential Equations ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Existence Results ◽  
Monotone Iterative Technique ◽  
Lower And Upper Solutions ◽  
Iterative Technique ◽  
Monotone Iterative

Abstract The method of lower and upper solutions combined with the monotone iterative technique is used for ordinary differential equations with nonlinear boundary conditions. Some existence results are formulated for such problems.

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