Positive solutions for one-dimensional p-Laplacian boundary value problems with nonlinear parameter

Ahmed Omer Mohammed Abubaker
2014 International Journal of Applied Mathematical Research  
In this paper, we establish existence of positive solutions of the nonlinear problems of one -dimensional p-Laplacian with nonlinear parameter where a : Ω → R is continuous and may change sign, λ > 0 is a parameter, f (λ, 0) > 0 for all λ > 0. By applying Leray-Schauder fixed point theorem we obtain the existence of positive solutions.
doi:10.14419/ijamr.v3i4.3168 fatcat:nxcdg4mluja5dbd3qqk6d3eco4