Existence of positive solutions for nnth-order pp-Laplacian singular super-linear boundary value problems

This paper investigates the existence of positive solutions for nnth-order (n≥3n≥3) pp-Laplacian singular super-linear boundary value problems. A necessary and sufficient condition for the existence of Spn−2 positive solutions as well as Spn−1 positive solutions is given by means of the fixed point theorems on cones.