Existence of positive solutions for nth-order p-Laplacian singular super-linear boundary value problems

摘要

This paper investigates the existence of positive solutions for nth-order (n >= 3) p-Laplacian singular super-linear boundary value problems. A necessary and sufficient condition for the existence of S-p(n-2) positive solutions as well as S-p(n-1) positive solutions is given by means of the fixed point theorems on cones. (C) 2015 Elsevier Ltd. All rights reserved.