Positive solutions for a fourth order pp-Laplacian boundary value problem

In this paper, we study the existence, multiplicity and uniqueness of positive solutions for the fourth order pp-Laplacian boundary value problem View the MathML source{(|u″|p−1u″)″=f(t,u),u(2i)(0)=u(2i)(1)=0,i=0,1. Turn MathJax on Here p>0p>0 and View the MathML sourcef∈C([0,1]×R+,R+)(R+:=[0,∞)). Based on a priori estimates achieved by utilizing properties of concave functions, we use fixed point index theory to establish our main results.