Positive Solution of Multi-Point Boundary Value Problems for the One-Dimensional p-Laplacian with Singularities

2005 ◽  
Vol 21 (4) ◽  
pp. 661-670
Author(s):  
De-xiang Ma ◽  
Wei-gao Ge ◽  
Xue-gang Chen
Keyword(s):  
Boundary Value Problems ◽  
Positive Solution ◽  
Boundary Value ◽  
Point Boundary ◽  
One Dimensional ◽  
The One

scholarly journals Positive Solutions of the One-Dimensional p-Laplacian with Nonlinearity Defined on a Finite Interval

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Ruyun Ma ◽  
Chunjie Xie ◽  
Abubaker Ahmed
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Finite Interval ◽  
Boundary Value ◽  
Quadrature Method ◽  
One Dimensional ◽  
Existence And Multiplicity ◽  
The One ◽  
Multiplicity Of Positive Solutions

We use the quadrature method to show the existence and multiplicity of positive solutions of the boundary value problems involving one-dimensional p-Laplacian u′t|p−2u′t′+λfut=0, t∈0,1, u(0)=u(1)=0, where p∈(1,2], λ∈(0,∞) is a parameter, f∈C1([0,r),[0,∞)) for some constant r>0, f(s)>0 in (0,r), and lims→r-(r-s)p-1f(s)=+∞.

Sign in / Sign up

Export Citation Format

Share Document