Weak singularities and existence of solutions to (k,n−k)(k,n−k) conjugate boundary value problems

We study the existence of multiple positive solutions to the singular (k,n−k)(k,n−k) conjugate boundary value problem with 1≤k≤n−11≤k≤n−1. A new weak force condition will guarantee new existence criteria. Our analysis is based on Schauder’s fixed point theorem.